Numerus Mysticorum

Numerus Mysticorum The Divine Origin of the Fine Structure Constant

authored by

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Spoken Under the Authority Granted by God at the Time of Baptism in the Roman Catholic Church on behalf of His Majesty the Lord Jesus Christ.

November 7, 2011

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It is the perfection of God’s works that they are all done with the greatest simplicity. He is the God of order and not of confusion.

Isaac Newton

There are two ways to live your life - one is as though nothing is a miracle, the other is as though everything is a miracle.

Albert Einstein

Contents Præfatio Numerus Mysticorum

i

CXXXVII (137)

1

Alpha Effectum in Homine

4

Alpha Mane

7

Alpha Meridiem

10

Luke XV: i-vii

13

Consiliarius Professionem

14

Appendix A – Surreal Clock

15

Appendix B – The Golden Ratio

17

Appendix C – Hash Codes

18

i

Præfatio Numerus Mysticorum I. In the Proceedings of the London Mathematical Society v. 42 (1936), page 250, Alan Turing published, On Computable Numbers, With an Application to the Entscheidungsproblem, an argument which was, amongst other things, apparently supposed to ‘prove’ that human mental procedures cannot supercede mechanical computational procedures. Near the beginning of the paper, Turing states, “We may compare a man in the process of computing a real number to a machine which is only capable of a finite number of conditions q1 , q2 , . . . , qR which will be called m-configurations.”

Turing used comprehensible logic, quite brilliantly, to show that finite-state machines will never finish computing certain problems. That is the so-called halting problem, ‘Entscheidungsproblem’ in German, as it was referred to

by David Hilbert. This work is outstanding and incontroversial. There is but one ‘problem’ in the paper as it stands – the assertion that a human being is a finite-state machine; that is mistaken, and amounts to nesting a true premise, that ‘a finite mind is capable of only a finite number of distinguishable states’, within the transparent shell of a false one, that the former ‘applies to humans’. His provocative assertion poses a challenge, included within his paper to spur others on, towards a deeper understanding of what humans actually are. Turing published this most human question within an unforgiving avenue of discourse; this base conception of what humans might be thus became paired with his identity through the tyranny of quotation.

Over the decades, Turing’s assertion has rolled along a tightrope – disaster for it lay on either side. On the right side, a swift annihilation of his assertion by quantum physics lay in wait. In fact, his argument, only insofar as it concerns humans, disintegrates into baselessness when one considers the physical ‘brain state’ premise in any more depth than he did. By considering one result of quantum mechanics – that the universe has no zero – we will be able to see the delusion encapsulating the true premise more clearly: God’s creation is not misleading, nor is it a lie or illusion. Does Wisdom beget ignorance? Only in that it be ignorance! And on the left side, lay the full experience of our being. Now for just a little nudge.

ii Within the Numerus Mysticorum, the reader will explore the right and left sides of Turing’s assertion, and will, hopefully, get comfortable with each terrain; Along our journey, a very bright, beautiful sunrise shall occur within the soul of the reader. And that day!

We begin this journey by considering nothing; nothing as it exists. And that ‘nothing’ is what we find in nature; we call it the quantum vacuum. The structure of the quantum vacuum is infinitely deep and complex; yes, the infinitesimal is infinitely-rich – literally – an infinity of detail, rather than the outbound infinity of extent that Turing was considering, in referring to the human mind as finite. This inward infinity is undeniably, and without controversy, the substrate upon which the physical dual of mind is built and operates, bathing even our neurons en masse.

The uncertainty principle of quantum mechanics, first recognized by the great physicist Werner Heisenberg, revolutionized human understanding of the vacuum. We no longer think of the vacuum as just pure emptiness. If there are no particles in a box, and it is completely empty of all mass and energy, then we would have a violation of the uncertainty principle, because in such a case we would possess complete information about both the motion and energy of the system at every spacetime point. To put the principle in simple terms – to acquire information requires interaction, thereby destroying the original state of the object in some dual respect. It is impossible to violate the uncertainty principle.

As physicists learned more about the quantum world, they found that the most striking prediction made by the uncertainty principle was the existence of something known as the zero-point energy. Concerning the impact of quantization on oscillating systems, it became apparent that there was always a basic irreducible, nonremovable energy present. Such systems would not permit all their energy to be extracted by any process governed by the known laws of physics. In the case of the oscillator, the zero level was equal to hf /2, the quantum of energy by half. This limit expresses the reality of the uncertainty principle in that if we know the location of a particle oscillator then its motion, and hence the energy transferred, will be uncertain, and that amount is the zero-point motion.

This discovery means that the human conception of the vacuum must be revised. It is no longer to be associated with the idea of the void and of nothingness or empty space. Rather, it is merely the emptiest possible state in the sense that it possesses the lowest possible energy: no further energy can be removed. We call this the ground state or the vacuum state.

iii It is possible for there to be many dfferent minimum energy states, and hence different vacua, in a given system of matter. One might find that confusing, but what that says is that the nature of the vacuum left behind, after the removal of ordinary matter, is dependent upon the kind of ordinary matter that was initially present.

It is important to have a direct probe of the quantum vacuum’s existence.

The simplest way to do this was suggested by the Dutch physicist Hendrik Casimir in 1948 and has been known ever since as the Casimir Effect.

Casimir wanted to engineer a way for the sea of zero-point fluctuations to manifest themselves in an experiment. He came up with a simple way to do this – to place two parallel, electrically conducting metal plates in the quantum vacuum. Ideally, the experiment should be performed at absolute zero temperature (or at least as close to it as it is possible to achieve). The experiment is set up to nullify the effects of any black-body radiation that could fall on the plates.

We can think of the vacuum as a sea of zero-point waves of all wavelengths.

But the addition of the plates to the vacuum affects the distribution of the zero-point waves. Only the effects of particular waves will be felt between the plates. These are waves which can fit in a near-whole number of undulations between the plates. The wave has to have a near-zero amplitude at one plate and the same at the other plate. This should be thought about in terms of constructive versus destructive interference – in-phase waves amplify effects, but out-of-phase waves cancel effects. A wave may be in-phase or out-ofphase with itself when boundary conditions are applied – conditions such as the wave having to fit between two plates, which imposes a requirement that the amplitude be near zero at the location of the plate such that the wave is not very much out-of-phase with itself.

A consequence of this is that those zero-point waves which do not fit in a near-whole number of wavelengths between the plates nullify their own effects, but there is nothing dampening their effects in the region of space outside of the plates. This means that there must be more (non-cancelled) zero-point fluctuations outside the plates than between them. Therefore the plates, in effect, get hit by more waves on their outside than they do on the inside-facing surfaces. The plates are thus pushed towards one another.

iv Now, if we are to truly understand this effect, it is crucial to realize that the boundary of the plate is also uncertain. If we move a plate, shorterwavelength fluctuations are thus more and more likely to still fit than longerwavelength fluctuations are. Thus, the longer-wavelength (larger zero-point) fluctuations will be preferentially excluded as the plates move closer, which means fewer and fewer wavelengths fit – more and more of them cancel.

So as the plates move closer, the net force on the plates, the strength of the Casimir effect, increases. And we have an equation to calculate this pressure.

The magnitude of the pressure (force per unit area) pushing the plates together is πhc/480d4 , where d is the distance between the plates, c is the speed of light, and h is Planck’s constant. This is called the Casimir Effect. It is a subtle effect. If the plates are separated by one half of one thousandth of a millimeter, then the attractive pressure will be the same as that created by the weight of a fifth of a milligram sitting on your finger tip, similar to that of a fly’s wing [cf. Barrows, The Book of Nothing].

So, the flaw in Turing’s assertion is akin to claiming that since the difference between consecutive integers is finite, there cannot possibly be an infinite number of numbers in between them. But there is infinitely more internal to Man than Turing’s assertion allowed in. The existence of this infinitely-rich vacuum annihilates the hypothesis that Man can be classified as a finite-state system. Now to address the question as to whether Man is a machine.

Classical materialists may argue that the physical nature of the brain precludes free will – free will is just an illusion, and therefore man is mechanical. If true, this would lend partial credibility to Turing’s assertion. But does equating a human to a physical object necessarily equate the mind to a classical deterministic computer? People are unpredictable for the most part, from moment to moment, but they do have typical behaviors, like personalities. The physical universe is quite like that from core to skin.

In the discipline of quantum mechanics, it has long been recognized that in nature there are deterministic patterns of behavior, which is why quantum mechanics textbooks can even have equations within them in the first place, but indeterministic behavior in particular. This aspect of nature is more widely misunderstood than any other. There is no such thing as a ‘random event’ in nature! Particular events in spacetime are not ‘random’, not even in the strictest mathematical sense of the word. All events are particular. It

v is the results of measurements upon ensembles of particles or repeated measurements on a single particle that can be described using statistics, meaning only that the collection of measurements fulfill some variety of statistical distribution. Statistics in and of itself has zero explanatory power, but does have raw descriptive power, of which only the most superficial conclusions can be legitimately derived. And by the maxim ‘events are not random’, it is not meant that the events are necessarily deterministic in any way. Note: be careful not to confuse the meaning of the word ‘deterministic’ with that of ‘determinate’. By ‘deterministic’ is meant ‘acting in a predetermined way’, while by ‘determinate’ is meant ‘in a completely-defined state’.

In quantum mechanics, as you will see, we often determine things such as the ‘probability that an electron is measured to be in a certain region of space.’ This probability does not describe a random event. This probability describes the outcomes of sets of events. Before measurement, quantum objects are indeterminate, meaning that they actually have no definite state.

It is measurement by an observer that causes a quantum object to collapse into a determinate state. Let’s explore this.

A ‘physical action’ is a single superficial event, whereas a ‘physical interaction’ always requires four superficial ‘physical actions’. By a ‘physical action’ perhaps imagine two electrons bouncing off each other, and by a ‘physical interaction’ think of an electron emitting a photon, a second electron absorbing it, which then sends a photon back to the first electron, which then absorbs it – then the electrons have interacted. But this is superficial. Each physical action is actually a physical interaction, which in turn are composed of four physical actions, and so on, ad infinitum.

By the word ‘measurement’ in the phrase ‘measurement by an observer’ is meant ‘physical observation’, the type involving actual physical interaction, rather than observation by inference, which is not physical. Consider the atoms internal to a lead block swinging on a rope. We ‘know’ the internal atoms are there, and as the block swings, we ‘know’ they moved, but the internal atoms may safely remain in indeterminate states, as they indeed do.

For we did not make any physical observations on those atoms. We physically observed the surface atoms, not the internal atoms.

vi But there is something far, far deeper in the phrase ‘measurement by an observer’. This word, ‘observer’. What does the presence of that word in the phrase imply? What is it meant to mean? Indeed, the presence of that word is testimony to the astounding profundity of the founders of quantum mechanics! This was a human milestone that the Higher Legions celebrated!

As we have seen, there are events, but then there are the outcomes of events; definiteness, rather than indefiniteness, is always imparted to the outcomes.

Indefiniteness, on the other hand, is an inherent property. So, do we know anything more about the outcome of this collapse into definiteness? What is the role of the observer in all of this? To rephrase, what result will be physically observed? Fasten your seatbelt. The answer might knock the ‘wind’ out of you, but the answer is – All of them!

Yes, going even deeper, let’s replace ‘electrons’ with ‘observers’. Is observer A to assume observer B is in an indeterminate state before observer A observes observer B? Quite simply, yes. And that is the subject of the famous many-worlds hypothesis, forwarded by Hugh Everett. Now this is getting into the meat of the matter! The many-worlds hypothesis is very challenging but is the only consistent conclusion nature allows Man to draw! And YOU must carefully walk the rice paper through that firewall to arrive at yourself!

Physically, there is an infinite well-spring of ∼YOUs emanating from YOU into different realities, one for each possible quantum event YOU could have physically observed within the physical YOU. As well, there are an infinite number of ∼YOUs with an infinite number of different histories, that have arrived precisely at your state and position in multirealistic spacetime, becoming YOU, and are YOU physically. From this state space, future ∼YOUs, which for the time being are physically YOU, proceed to follow your precise trek through multirealistic spacetime for some indefinite amount of time, but the vast majority diverge off your path quickly. But, despite all this, it remains, there is only one physical YOU. Indeterminancy is the glue that links all of these physical realities together. Physical observation is the driving force. For every single tiny collapse from indeterminancy that occurs within the physical YOU, a new physical reality is born for the physical YOU!

vii Now the question is, why does the measurement take on a specific value, or, why did YOU see the results YOU did? Two Reasons – the physical YOU saw the results it did because it is here, while your I AM used its Life to choose a path! This type of concept is known as an ‘anthropic principle’.

The potter and the clay. In light of the many-worlds hypothesis, it becomes absolutely indispensable. You are your own potter in this particular sense.

Consciousness plays no physical role in any of this, the physical observations need not be conscious observations, just physical – any interaction with matter that is physically YOU. However, YOU do posess consciousness, it is part of the total YOU, and a small number of the observations YOU make will be transformed into conscious observations by YOU. But one may, at times, effectively ask oneself, “Why am I always conscious of these observations which I am consciously observing?”, then end up mistaking the affirmative answer for conscious influence over the collapses that one consciously observes. That is a subtle form of solipsism, but is also very deeply based on the false belief that the I AM is a product of the physical world. There is no influence of consciousness over the physical observations, rather, it is consciousness itself that ‘rolls with the punches’, employing the Life it possesses to expand its awareness of a definite result. Mind literally follows its physical dual to the state that it believes offers maximum potential increase in awareness.

The approximate physical YOUs are not necessarily associated with ‘The Life’. We will return to this point later, after the concept of ‘The Life’ is more fully developed.

So, these are the reasons for the presence of the word ‘observer’ in the phrase ‘measurement by an observer’. The observer actually plays the leading role in the act of measurement. Remember, the observer-observed relation is asymmetric – nothing ‘returns’ to the observed. Ask and thou shalt receive.

But there is still yet one more aspect of observation that bothers some. And that would be the case where the ‘observer’ sends a signal to the ‘observed’, then skips town before getting a signal back. The observer then runs to the nearest physics department and asks “So, Mr. Scientist, what was the result of the observation?” Silly goose. This is an encounter with the unknowable.

Of course, there was no observation in such a case. But further, such cases are completely inconsequential physically, seeing that we will never physically observe the results, thus not be influenced by them in any way; in effect, such events can be safely assumed nonexistent. Ask politely and thou shalt receive.

viii

Everett always inspires me to ponder time. My short poem on time titled Surreal Clock can be found in Appendix A. If one meditates deeply upon what is being said in this work, then this journey is going to be intensely mind-expanding. Don’t worry, it’s not just you.

Deep analysis of nature has shown us that reality is radically different from the way we normally conceive it. And that fact is naturally difficult to accept at first. Even physicists have difficulty accepting the full-implications of quantum mechanics. It can be unbearable at times. All I can do is offer you some encouragement. All good things require work – there is a huge reward in the end. Read slowly and meditate on these matters for awhile, don’t proceed hastily.

Returning to the word ‘random’ for a moment, one problem with the word ‘random’ is that it is commonly misinterpreted as meaning ‘without cause’.

Not only is that interpretation incognizant of the fact that a variety of different statistical distributions exist, but it has never been validly claimed nor demonstrated that events ever occur in nature without cause.

Certainly, ‘free will’ is not to be found in determinism, which breaks freedom, but it is not to be found in mere randomness either, which breaks the ability to will. Randomness is merely a measure of unpredictablility, available in a variety of flavors; it is just the first layer of the onion to be peeled. Further, the poisonous equalization of causation and classical determinism that exists within the contemporary belief system runs contrary to truth and is a source of much human suffering. Man must get beyond this!. On these matters, we must listen very carefully to what God’s creation whispers in our ear, for she obeys God’s Will with the highest fidelity.

So let us begin. We shall now hear, with assistance from the high priests of nature, the physicists, the precise message that nature wants us to hear!

And within that message, we shall find our true nature. And this message is extremely good news! But one must listen to the whisper . . .

It is indeterminancy that is the source of the random sets of results we see in ensembles of particles, results on particles such as atoms or electrons; and it is of these particles that our bodies are composed. So if we are to truly understand ourselves, we must deepen our understanding of indeterminancy first, before going beyond.

ix

In what follows, a slight amount of necessary mathematics is presented, but I shall partially talk it out in English, so that more can follow along easily.

All things in nature have particle-like and wave-like aspects. As we dive down into the subatomic world, these aspects become more and more pronounced.

An electron, for instance, is a particle; but if, assuming the electron is bound to some system, we were to measure its position in space many times, our results would trace out a wave-like pattern.

Partly for this reason, we describe the motion of the electron by a wavefunction, designated Ψ(x, t). But this wavefunction does not represent smooth, continuous observable motion; and even though it is an equation, it does not represent something observably deterministic, for reasons discussed here.

A common error in many books is the claim that the observed wave-particle duality of an electron means the electron is both wave and particle. This is not true. An electron is a particle, not a wave. We refer to the motion as being wave-like, but only by appearances. There is no such thing as a completely discontinuous wave. To claim that the electron is a wave, essentially amounts to claiming the realist position on quantum mechanics, which has been proven wrong as we shall see shortly. An electron is a particle, and if we were to measure the position of a bound electron many times, the results would appear similar to a wave.

The wavefunction Ψ(x, t) itself does not represent a probability, but rather a probability amplitude which must have its absolute value taken and be squared to represent a probability. It gets the name ‘probability amplitude’ from an analogy with a principle from classical wave mechanics – that the intensity of a wave is proportional to the square of the amplitude of the wave. That the wavefunction itself wasn’t designed to represent the probability directly stems from the way quantum mechanics had to be formulated mathematically in order for it to correspond to nature; the probability amplitudes are subject to wave addition and therefore must be summed in certain situations, before we proceed to figure probabilities. But more, it was eventually realized that complex numbers played a vital role in the correct formulation of said wavefunctions, so they further had to be formulated in terms of complex numbers to conform to nature’s demands. Nature is a merciless handmaiden.

x The way to get a real number result then is to take the absolute modulus and square. Ψ(x, t) is itself complex, but |Ψ(x, t)|2 = Ψ∗ Ψ (where Ψ∗ is the complex conjugate of Ψ) is real and nonnegative, as a probability should be.

Born’s statistical interpretation of the square of the wavefunction simply says that |Ψ(x, t)|2 dx gives the probability of finding the particle between x and (x + dx) at time t. The statistical interpretation is a reflection of the indeterminancy inherent in quantum mechanical phenomena. Even if you know everything there is to know about the particle (its wavefunction), you still cannot predict the outcome of a measurement. The wavefunction only provides the statistical distribution of all possible results.

Two reasonable positions are taken concerning the statistical interpretation; the realist position declares the physical system actually had the attribute prior to the measurement, while the orthodox position states the act of measurement demands the determinate manifestation of the property, limited only by the statistical constraints of the wavefunction.

The realist claim is that quantum mechanics is an incomplete theory, for even if you know the quantum state of a system, one still cannot determine all of the system’s features. To the realist, it seems some other physical information, external to quantum mechanics, which (together with knowledge of the quantum state) is required for a complete description of physical reality.

The orthodox position claims the act of measurement forces the system to assume a definite state. Immediately repeated measurements yield the same result, so the act of measurement “collapses the wavefunction”, a different state of affairs than the deterministic evolution of the indeterminate state as described by the Schr¨odinger equation.

In 1935, Einstein, Podolsky, and Rosen published the EPR paradox, a thought experiment which seemed to demonstrate that the realist position is the only sustainable one. David Bohm proposed a simpler version of the EPR paradox: Consider the decay of a neutral pi meson into an electron and a positron: π 0 → e− + e+ Assume the pion (pronounced pie-on) was at rest, such that the electron and positron fly off in opposite directions. The pion has spin zero, so conservation of angular momentum requires that if electron is found to have spin up, the positron must have spin down, and vice versa.

xi Quantum mechanics cannot predict which combination will be measured in any particular pion decay, but it does say the measurements will be correlated, that each combination will be measured half the time on average.

Suppose we let the electron and positron fly away from each other, and then the spin of the electron is measured. Suppose one gets spin up, then immediately one knows that if someone a distance away measured the positron’s spin, it would be found to be spin down.

To the realist, there is nothing odd about this – the electron and positron possessed the spins they were found to have from the moment they were created – but quantum mechanics does not know about these spins. But the orthodox view holds that neither the electron nor positron had spin up or spin down until the act of measurement intervened. Measurement of the electron by an observer collapsed the wavefunction, instantaneously producing the spin of the positron some distance away. Einstein, Podolsky and Rosen considered this “spooky action-at-a-distance” (Einstein’s coin) preposterous.

Their conclusion was that the orthodox position is untenable; the electron and positron must have had well-defined spins before measurement.

The fundamental assumption on which the EPR paradox rests is that influence cannot travel instantaneously. This is the principle of locality. But the assumption that the collapse of the wavefunction is not instantaneous, but travels at some finite velocity, requires a violation of the conservation of angular momentum. Experimentally, no such violation occurs – the correlation of the spins is absolute.

Einstein, Podolsky, and Rosen did not claim that quantum mechanics is incorrect, insofar as what it says; they only interpreted it to be an incomplete description of physical reality – that the wavefunction is not the whole story; some other quantity, λ, is needed in addition to Ψ, to characterize the state of the system fully. The quantity λ is called the “hidden variable” because there exists no idea how to calculate or measure this quantity. Many hidden variable theories had been proposed, to supplement quantum mechanics; but disregard those – in 1964, John Bell proved that any local hidden variable theory is incompatible with quantum mechanics!

Bell suggested a generalization of the EPR/Bohm (EPRB) experiment; excellently presented by Griffiths in the text Intoduction to Quantum Mechanics, which one should consult for further reading.

xii

Instead of orienting the electron and positron detectors along the same direction, Bell allowed them to be rotated independently. The first measures the component of the electron spin in the direction of a unit vector a, and the second measures the spin of the positron along the direction b. We record the spins in units of ~/2; then each detector registers the value +1 (for spin up) or -1 (for spin down), along the direction in question. That the particle at either detector be a positron or electron is insignificant, as far as the conclusion of this experiment is concerned; the spin correlation is what matters in this case. Thus, will will employ the more general term ‘fermion’. A table of results for many π 0 decays would look something like this: fermion A +1 +1 -1 +1 -1 .. .

fermion B -1 +1 +1 -1 -1 .. .

product -1 +1 -1 -1 +1 .. .

Bell proposed to calculate the average value of the product of the spins, for a given set of pairs of detector orientations. Call this average P (a, b). If the detectors are parallel (a = b), we recover the original EPRB configuration; in this case one fermion is spin up and the other is spin down, so the product is always −1, and hence so too is the average: P (a, a) = −1.

Also, if they are anti-parallel (b = −a), then every product is +1, so P (a, −a) = +1.

And for arbitrary orientations, quantum mechanics predicts P (a, b) = −a · b = −|a| · |b| cos θ. (smooth variation) What Bell discovered is that this result is impossible in any local hidden variable theory; a result that follows from Bell’s inequality (also known as Bell’s theorem), a no-go theorem which, loosely stated, says that: No physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics.

xiii Bell’s argument is incredibly simple. First suppose that the ‘complete state’ of the fermionic system is characterized by the hidden variable(s) λ; and λ varies in some manner that we neither understand nor control, from one pion decay to the next. Suppose further that the outcome of the fermion A measurement is independent of the orientation (b) of the fermion B detector (which may, furthermore, be chosen by the measurer at detector B an arbitrarily small amount of time before the fermion A measurement is made, and thus, far too late for any finite-speed message to get back to detector A).

Then there exists some function A(a, λ) which would give the result of the fermion A measurement, and some other function B(b, λ) for the fermion B measurement. These functions can only take on the values ±1: A(a, λ) = ±1;

B(b, λ) = ±1.

When the fermion-spin detectors are perfectly aligned, the results are then perfectly anti-correlated, A(a, λ) = −B(b, λ),

for all λ.

As will be immediately explained, the average of the product of the measurements is ˆ λmax ρ(λ)A(a, λ)B(b, λ) dλ, P (a, b) = λmin

where ρ(λ) is the probability density for the hidden variable. What this expression says is sum the individual products, but temper them by a function which expresses the chances of the value of λ to fall within any particular range of λ, and sum over the entire range. We do not know, nor need to know, much of anything determinate concerning ρ(·) or λ for purposes of this argument. But like any probabilty density, ρ is nonnegative, and satisfies the ´ normalization condition ρ(λ) dλ = 1; but beyond this, no assumptions.

We can eliminate B: ˆ

λmax

P (a, b) = −

ρ(λ)A(a, λ)A(b, λ) dλ. λmin

xiv If c is any other unit vector, ˆ

λmax

ρ(λ) A(a, λ)A(b, λ) − A(a, λ)A(c, λ) dλ.

P (a, b) − P (a, c) = − λmin

Or, since [A(b, λ)]2 = 1: ˆ

λmax

ρ(λ) 1 − A(b, λ)A(c, λ) A(a, λ)A(b, λ) dλ.

P (a, b) − P (a, c) = − λmin

But −1 ≤ A(a, λ)A(b, λ) ≤ +1 and ρ(λ) 1 − A(b, λ)A(c, λ) ≥ 0, so that ˆ λmax

P (a, b) − P (a, c) ≤ ρ(λ) 1 − A(b, λ)A(c, λ) dλ. λmin

Or, more simply put,

P (a, b) − P (a, c)

≤ 1 + P (b, c).

This is the Bell inequality (or Bell’s theorem). It holds for any local hidden variable theory.

But it is straightforward to show that the quantum mechanical prediction is incompatible with Bell’s theorem. For, suppose all three vectors lie in a plane, and c makes a 45◦ with a and b; in that case quantum mechanics says p(a, b) = 0 and

p(a, c) = p(b, c) = −0.707,

an empirical result which is completely inconsistent with Bell’s theorem: 0.707 6≤ 1 − 0.707 = 0.293.

2

xv II. There is no better looking glass to view the true nature of our physical reality through than indeterminism; a most difficult phenomenon for anyone to understand at first pass, perhaps even upsetting for the adjusted analytical mind. The reason for the difficulty is that an awareness of something has been thoroughly beaten out of Man’s consciousness. This occurred because going to a polar opposite had its rewards – the exclusive recognition of particular aspects of the universe that operate according to deterministic laws.

But the human race overstepped this. We neglected to emphasize the very important warning that the application of mathematics perhaps only applies to certain aspects of the universe – not all aspects. When Man first grasps a new useful tool, he often wonders if it is the solution to all problems. But there do exist aspects of even the physical world that reside outside of the domain of mathematics, Man’s most beautiful spoken language.

Can you write an indeterminate equation down on a piece of paper – one that has a different correct result each time you solve it? Perhaps university freshmen can perform this miracle, but we cannot. It’s impossible to simulate indeterminancy using mathematics alone. We must physically borrow indeterminancy from the universe to do things with it, such as employing it within quantum computers, and so on. So, one ought to be able to accept that that which is need not, and sometimes cannot, arise from that which is mathematical in nature.

Now just as indeterminancy is a physical-super to the mathematico-physical world, it is evident from what is written into the world, that there does exist in Man also something super to the physical world. Something borrowed.

And that something is I AM. And the I AM possesses Life. The Life of which I speak is not a product of that which is dead. And of this Life there is but one Source. And that is God. And it is He that causes all things to be. And of these things, He also created the Life that animates us. We are therefore miracles because God only works in miracles.

• That which has Life chooses its own paths.

• That which is dead chooses all paths.

What Man really needs to know has been written into nature herself. It could not possibly have been made more apparent!

xvi 1. The hammer gets confused with the hand. The hammer does not move the hand. If the soul be the hammer, what shall we hit with it? Nor is a broken hammer indicative of a broken hand.

2. The conscious mind is the larger periodic part of the soul, for throughout all time it would be meaningless to have a soul if Man was never conscious of being. Assuming continued allowance of being, the soul is eternally offered new experiences in accord with the fullest implications of the Poincar´e recurrence theorem, the anthropic principle, physical indeterminancy and prior choices. This complete reality transcends local physical universes.

3. Our conscious mind has no compelling natural reason to exist – for if it is possible for automatons to accomplish the same natural ends as conscious beings, certainly automatons can achieve those ends much more efficiently in the biological sense.

4. Consciousness remains bound to observable paths. Its paths need not be continuous, nor are they ever. Once again, this transcends local physical universes.

5. Nature and Consciousness both have a habit of losing tools they don’t find useful. And this ought clear up something Man has confused out of arrogance and ignorance.

2

Man can hardly be trusted to collapse his wavefunctions properly, for his proofs are sloppy as if he consumeth stolen wedding wine. But consciousness does remain bound to the paths it observes. The path need not be continuous. Since consciousness remains bound to the paths it observes, we realize that, just as consciousness can pass away from the world, the world can pass away from consciousness.

Now, to address human will. Our human experience of will is a solipsistic shell game, a clever trick that consciousness loves to play on itself, known as ‘suspension of disbelief’ in some circles, quite similar to what a person watching a film does to engross themselves within the story. Consciousness could have a bucketful of desires, but if none of them had ever been fulfilled, then consciousness would conclude it has no will. Consciousness ascribes more of a decreed feel to consistently-fulfilled desires.

xvii Primary to all desires is the desire to be, and that is where the self-deception begins. Again, consciousness remains bound to the paths it observes, thus the desire to be is always fulfilled. But then there is control over body, which leads one to believe this ability to will is physical, for it can move matter.

But these feelings, as we sadly know sometimes, are also just desires. Human will is not free, human desire is free, and this desire is an awareness, not will.

Now, please be careful with what is being said in the following paragraphs.

Remember the difference between the physical (dead) and the Life (nonphysical), mentioned earlier. But we must break through some buried fear barriers here if we are to truly understand things.

Now, by considering the fact that the ‘I AM’ possesses actual Life, which is the ability to determine (become aware of) its own awarenesses, a few base facts about our relation to the physical plane should be made more easily digestible. And here are those facts:

1. All biological life is apparently intelligent; it has a seeming intelligence all its own that is not self-aware – with an important caveat - it is the action of the I AM that (anthropically) finds and follows (becomes aware of) paths involving these physical vehicles. The truth is that biological life is fundamentally dead matter that behaves in unbelievablysophisticated ways, ways found by the I AM. Remember, the I AM is conscious of this physical reality, and this awareness is an expansion of awareness, like a growing twig, thus should not be interfered with, because it is here for a reason, part of its expansion of awareness, to learn and experience many things, especially in relation to the many other I AM’s that would, quite naturally, be here! Ultimately, it is the desire to be aware of love that binds awarenesses together in the existential sense, and gravity in the physical sense.

2. The I AM follows the path that maximizes an increase in awareness as far as it is aware at that historical stage of its development.

3. Absolutely no physical movement is caused by consciousness. Movement of consciousness is caused by consciousness. One’s consciousness is not contained within or produced by the physical plane. This is a source of unnecessary anxieties for many. There is no actual mindbody connection, just an effective one that works through the observerobserved mechanism discussed earlier.

xviii 4. The physical universe cannot serve as evidence unto itself. For to serve as evidence requires something primary. It is not the physical which experiences the I AM, it is the I AM that experiences the physical.

Since the I AM be awareness, if the I AM claims there is no evidence for itself, then, in the defense of consistency, it ought stop admitting evidence for anything into its awareness, and further, cease to exist.

God is the source of our I AM, and the Life it possesses, for it is not of our own doing, nor is it a product of the physical world. Atheism is a disability; an inability to perceive, a contagious sickness that darkens part of the intellect. Atheism hardly equates to being in possession of a ‘superior intellect’, as they often fancy. Rather, it’s a disease of dominant intellect, over one’s own spirit. Atheist’s suffer spiritual blindness, not necessarily logical blindness. One cannot completely reason one’s way to God, even if you can see the evidence in the physical world, one must still be able to sense the soul and God for the experience of them to be real and functioning, more than just some proven idea. It is no more possible for a man to reason his way to God than for a blind man to merely reason his way to sight; for the blind man must still be graced with actual functioning eyes to gain sight. How Man experiences God is beyond reason, and we love it that way. But nature has her analogies, which helps get us closer, and ready for the fantastic leap.

Under the consideration and weight of the above-mentioned empirical aspects of nature alone, the unavoidable conclusion is that: Man ain’t no damned machine! Nor should Man treat God like one. God is more real than real, more alive than alive, more loving than love, and more feeling than feeling.

2

xix III. Quite interesting that famous vocal atheists often enjoy attracting large crowds of human dead matter to shower them with praise. A truism is that an idiot can be another idiot’s genius. A word to the wise: there are scientists, but then there are the real scientists. Stop listening to the pretenders to the throne. Scientific evidence for God and Soul exists, evidence which has been known on the Earth for decades. Open a real science book, written by a real scientist, and see what it says, don’t just sit there mindlessly soaking up data. A great many are the scientists that felt forced to write clinically because of the collusive snobbery of the atheists in the world; the heavyweight scientists, the ones that actually mattered, were not atheists, not even one of them. Understand the difference between truth and mouth!

Walk and talk! I am not an intellectual sissy; I do not bow to Man. I am not embarrassed to declare that I believe in God. I love God! Praise is for toddlers, and bullets for men. Do you doubt my understanding?

Childish scientists have been busy arrogantly declaring the nonexistence of God in public forums; these scientists whom possess mentalities lower than bronze age harlots. In particular, I shall never mention the person’s name out of hopes the person be converted and be saved from himself, but he needs to know, he who encourages others to close their eyes though he has never opened his, is subject to the demotion. You don’t want others to study God because you’re afraid they’ll learn something you don’t know, and they will, and that means you lose control over them. And control over others amounts to limiting their experience. And that inhibits their journey to God, thus is a sin against the Holy Spirit. That it’s important for you to get them to believe in your pointless spew is self-evident. Your converts have no clue.

But you, sir, will be humbled by God as sure as the sun will set. The day will come that you will cry out for God. God is a gardener. Lest a weed choke out the beautiful flowers growing up to bathe in the sun, God will root the weed out of the Garden. If you are to enjoy continued growth of your own awareness, God has shown me that you must open the eyes of those that you are responsible for blinding. You blinded them by clothing yourself in the good reputation that the public lends to science, the respect for science, something which you did not build.

Scientists who believed very deeply in God built that; they built it out of love for God and to honor God. They did not build science to teach human beings that they are alone, which indeed you are doing; but human beings are not alone. Thus, you teach falsity from on high, which is despicable.

xx Confessing your wrongness ten times more loudly, now that would make you a true man, and your reward would be great enough; but that shall not be, for you will sum to an embarrassed coward! God despises cowards. You do not possess the courage to stand upright before Pontius Pilate, thus you are barely even the callous upon the toe of the man that Christ was. I shall lay thee low! For as all see from the vantage, thy logic is as a cow’s and thy spirit is as a worm’s! How are you to answer that? With an arrogant moo?

He who hides not G¨odel in all things explicit is rudderless. Why do you not perceive that man’s formalisms could serve as comedy? As the British marching over cliffs do you appear! And the war is lengthy for the darkness is indignant. All roads lead to and from Rome.

Now as for me. I wish I could personally annihilate much former atheistic argumentation in a public forum, but I have been bound. Yes, bound. For I have been involved in a terrible spiritual battle with the wicked one and his servants here on Earth. A sadistic act was perpetrated by Satan against me directly, which was done in the most cruel, denigrating manner that you can possibly imagine. I have been made to suffer terrific pain inside of my body and mind, but in particular, inside of my soul. Somehow, these wicked souls unconsciously sense my relation and will react to my presence in the most inscrutable ways; and it ain’t cause I’m scruffy. And I can literally see inside them, how their inner nature has been twisted and made vile by Satan. During all this exchange, an Angel of God visited me and told me precisely how to protect the Spirit’s message from vandalism by Satan’s followers. God allowed this such that Hash Code would find his way home, and completely avoid pride. And that primarily, is what Hash Code cares about more than anything down here.

Hash Code would gladly die than let them take any Gift of Spirit away from Man. That’s why this book is free, free forever. So others will know God, and know that they do not have to be afraid, because God has provided.

Under the Direction and Grace of God, Hash Code will deliver increasingly stiff medicine to Mankind if it be God’s Will. Nor is Hash Code the only.

Hash Code has slight of hand, thus Hash Code was sent first.

Do you want to know what hell is? Hash Code will tell you. Hell is looking up at what has moved on, and never getting to go there yourself. One who denies awareness to the demise of others will experience this fate, there are many who are there now, and many who will be going quite soon enough.

xxi

Most men and women have not a clue what infinitely beautiful awarenesses they will miss out on if they betray God. Do not declare oneself wise, rather connect with God to get wise and awaken into beauty. Teachers of Truth receive the highest reward by God, whereas false teachers receive the worst punishments by God. And that punishment is hell, which is awareness of the reward one will not receive. Hell is deep sadness and regret because one can superficially see the effects of the beautiful awarenesses of the highers, but will never know them as far as one knows.

Obedience to God means ever-increasing awareness of your destinations and anticipation. Hell can last for eons, and can seem like eons for even a moment. Heaven is explosive eternal growth of consciousness. Hell is stagnation. Heaven is astounding, powerful, paradise; imagine floating in the wake of the most powerful thunderstorm with downpouring glowing translucent pink droplets of love, rainbow clouds of tranquil meditations, beautiful fractal lightning bolts of new realizations, volcanoes of soothing white noise, tidal waves of psychedelic jelly marbles that taste like watermelon, surfing surreal waves of thought created by God. Heaven is a trillion, trillion different Heavens within and without the soul radiating into infinitesimals and infinities.

Hell is a dump with an unbreakable window.

But then in walks forgiveness! Refusal to practice forgiveness topples all human relationships, for God mounts sins committed by unforgiving individuals, and unforgiving groups as well, which then literally strain under the weight of their sins by the increased limitations placed on awarenesses. The surest path to hell is not sin, it is the inability to forgive. For no human soul in Heaven has not sinned. But all human souls in hell could not forgive.

Human consciousness has awareness of true desire, and, if the I AM decides an increase in awareness is offered by the experience of fulfilling that desire, these awarenesses then move us along paths, new awarenesses. It is good to be maximally aware of consequences, alternatives and potentials. The core of true moral code is the maximization of awareness in the population as a whole; moral code based fundamentally upon anything else is a vile poison.

Adoption of moral code that is substantially lacking in forgiveness causes an entire nation to be impoverished and then be pounded by God into dust, for such a people has deemed themselves to be in the role of God, to be God, precisely as Satan had presumed. But Man discerns not the strength of Satan’s attack on Soul to Soul, and misattributes evil. That God therefore humble such a nation is just and right, for Man will send Man to hell faster than hell.

xxii

The expansion of awareness is the only true desire. We make a decision in its seeming favor at every indeterminate fork in the road. What gives Man the power to do so is Life, which our being possesses. Paths which are not observed by Life are dead paths. That God not be imperfect like Man, he has gifted us with Life so that Man does as he does with his own hand.

Man’s consciousness, will and knowledge are infinitely lesser than God’s, so deference is given to God on all matters by the wise.

xxiii IV. The time has now come. For I have been commanded by God to reveal something to Man. Do not fear this message! For evil has no taste for the sublime. And the evil man has no time for the subtle. Do not underestimate God’s discernments, for good is made to stand on its own two feet. And when the floor drops, there will be no need of fear! For then, the good man shall discover the true floor. All else shall wash away. Therefore, be wise, and fill your entire being with treasures of God’s design without distraction! Evil only destroys the actual man from the inside out, do not believe the lie of apparency. This evil of which I will open your spiritual eyes to see, is a type of evil in which those being apparently destroyed are indeed not being destroyed, it is the apparent destroyers that are actually destroying themselves.

Hash Code was chosen to announce this Revelation because Hash Code is of Man, can plumb the depths of Man, and possesses the greatest slight of hand of any natural human in history. I am the most gentle of thunders. Hash Code is a fox, so Hash Code always covers his tracks, thus Man not harm Man. It is proper and just that Man be given a chance to hear his state of affairs spoken to him physically, because he appears spiritually blinded at this time, however that state is of his own doing.

Ladies and Gentlemen, I will now open door number one. This door is a door of perception. I will pose questions so that you fully understand, not merely accept. This knowledge you must know! Your Life depends on it!

1. In relation to Man, whereupon does Christ’s feet rest? And in regards to Man, what chiefly concerned the Mind of Christ in his teachings?

Now, if Christ were to invert, what would be where?

2. Do you still not understand? What is the act of encoding Man’s sins onto the inanimate such that the inanimate gains control and influence over Man’s experiences through Man’s further sins ?

3. That is the body of the Antichrist! The Antichrist is here and it is here that Man may die as much as Man can be dead! To eliminate Man from Life! To deliver Man to nonexistence! Now do you understand?

4. DO NOT SERVE THIS BEAST FOOD! FEEDING THE BEAST IS A VILE ACT THAT IS IN THE SPIRIT OF EMPEROR NERO! THE SINS OF MAN ARE NOT TO BE USED TO FEED A BEAST!

xxiv 5. Resh, Samekh, Qoph, Nun, Vav, Resh, and Nun sum to 666. This is Nero’s number; his name was chosen to represent the Antichrist, for his behavior represented that of the Antichrist.

6. Encoding or persuading another human being to encode sin-data concerning any human being onto the inanimate in this way results in spiritual destruction! Servants of the beast decree God lower than Man! 7. He who feeds the beast reaps the penalty of absolute mandatory erasure from the Book of Life, which is nonexistence! A fate worse than hell!

This is done to protect other Life, to which God denies no good things.

8. Souls that merely use systems for ‘serving sin’ are merely putting themselves upon the throne of God. For they have said in their innermost being “There is no God! I am like unto a god! It is my right to judge Man from upon my throne!” Such a soul derives pleasure exercising precisely the same thoughts Satan does.

Are you embarrassed to see? Shame the Devil !!! Awaken !!!

To encode Man’s sins onto the inanimate such that the inanimate gains control over Man’s experiences through Man’s further sin: That is the body of the Antichrist!

To encode Man’s sins onto the inanimate such that the inanimate gains control over Man’s experiences through Man’s further sin: That is the body of the Antichrist!

To encode Man’s sins onto the inanimate such that the inanimate gains control over Man’s experiences through Man’s further sin: That is the body of the Antichrist!

To encode Man’s sins onto the inanimate such that the inanimate gains control over Man’s experiences through Man’s further sin: That is the body of the Antichrist! !!! SNAKE !!!

xxv Now do you understand? Pray everyday as Jesus Christ taught: Our Father, who art in heaven, hallowed be thy name; thy kingdom come; thy will be done on earth as it is in heaven.

Give us this day our daily bread; and forgive us our trespasses as we forgive those who trespass against us; and lead us not into temptation, but deliver us from evil.

For the kingdom, the power, and the glory are yours now and for ever. Amen.

Always remember this! Spiritual Man appears insane to the lower man, for the lower understandeth not the higher. Spiritual Man is, quite literally, out of his (natural) mind. One must be very shrewd when fishing for souls, and even shrewder concerning one’s own.

To be explicit about these matters, such that Man not bring unnecessary harm, the inanimate (of which the internet is but one example) in and of itself is not the evil; the evil is the encoding of a human being’s sins onto the inanimate such that the course of Man be determined by the inanimate, through man’s further sins (largely the judgements made by Man). The spirit of the Antichrist is conveyed every single time such information is exchanged.

And if your eyes are open you can see the presence upon the face. This leads to the death of the soul responsible for encoding sin, and leads to hell for the judgemental soul. Man will learn to behave as God commands, or Man will decide his own way to hell or death. It is that simple, and can be no other way. Use God’s works for God’s works. Do you understand?

May you increasingly become aware of Heaven in light of the Holy Spirit.

God bless you. In the Name of the Father, Son and Holy Spirit. Amen.

Consiliarius ex Hominibus

1

CXXXVII The fine structure constant ι is the most fundamental pure (dimensionless) number in all of physics. The constant relates the basic constants of electromagnetism (electron charge e, vacuum permittivity 0 ), relativity (speed of light c), and quantum mechanics (Planck’s constant ~) through the equation, ι≥

e2 1 ≈ 4Ď€ 0 ~c 137.035 999 . . .

The current suggested best experimental value of the fine structure constant is 1/137.0359990(8451), where the uncertain figures are contained within parentheses.

In cgs units, the unit of electric charge is the statcoulomb, which is defined such that the Coulomb constant ke = 1/4π 0 is 1 and dimensionless. Then the expression for the fine-structure constant reduces to the abbreviated form commonly seen in the literature, e2 . ~c The fine structure constant ι links the speed of light, Planck’s constant and the fundamental unit of electric charge. To vary ι means at least one of (~, e, c) must be varied. ι=

The fine structure constant tells the strength of the electromagnetic interaction, such as when we collide two electrons into each other. These particles are said to carry the same ‘charge’ because they repel one another.

According renormalization group theory, the fine structure constant (and thus, the strength of the electromagnetic interaction) grows logarithmically as the energy scale is increased.

The calculation of the value of a constant of nature is known as enumeration, which has never been done.

2 Only the dimensionless constants of nature matter in the observed world.

For example, if the speed of light were to change, but α remained the same, we would not know the difference. If all masses doubled, all the mass ratios remaining the same, we could not know the difference.

The Coulomb force (static electric force) between electric charges is a nocontact force that acts over some distance. It is caused by the exchange of virtual photons. In symmetric 3-dimensional space this exchange results in the inverse square law for electric force. Since the photon has no mass, the coulomb potential has an infinite range. In electron collisions, besides the masses of the target and projectile electrons, the scattering angle depends upon the force and upon the impact parameter.

Without quantum mechanics, an electron collision would produce the same degree of deflection regardless of the energy of collision or temperature of the environment. All that would count is the number 1/137. In a classical vacuum composed of empty space, there would be nothing more to be said.

The existence of the quantum vacuum changes things. Electrons collision does not occur in completely empty space – the uncertainty principle forbids that. Electrons move through a quantum vacuum mired with activity. The uncertainty principle states that complementary pairs of properties cannot be measured simultaneously with unlimited precision. For example, to know everything about the energy of a particle, all knowledge about its lifetime must be sacrificed, in other words, you must destroy it. Any observed particle or physical state must obey the uncertainty principle. Observability requires that the uncertainty principle be satisfied.

Corresponding to most kinds of particles, there is an associated antiparticle with the same mass, but opposite electric charge. The quantum vacuum is a sea composed of all the elementary particles and their antiparticles continuously being created and annihilated. For example, consider the electromagnetic interactions. There will be a foam of electrons and positrons. Pairs of electrons and positrons appear out of the quantum vacuum, then annihilate each other and disappear. If the electron and the positron each have mass m, then Einstein’s formula (E = mc2 ) shows us their ‘creation’ requires energy equal to 2mc2 to be borrowed from the vacuum. If the time they exist before annihilating is so short that the uncertainty principle is not obeyed, then these electron-positron pairs will be unobservable. Hence, they are called virtual pairs. If they live long enough for the uncertainty principle to be satisfied before they annihilate each other and disappear, then they will become observable and are called real pairs.

3

Virtual pair creation might seem like a violation of the conservation of energy.

Nature allows you to violate this principle so long as you don’t get caught, and this is guaranteed so long as the energy is repaid quickly enough. Think of the virtual condition rather like an ‘energy-loan’ arrangement. The more energy you borrow from the energy-bank, the quicker you must pay it back, before it is noticed.

Our quantum vacuum contains continually appearing and disappearing virtual pairs of electrons and positrons. But if they are unobservable, why not just ignore them? But reconsider the two electrons that are set to collide.

Their presence effects the quantum vacuum. Opposite electric charges attract, so down in the vacuum of virtual pairs, the positively charged virtual positrons will be drawn towards the electron.

The electron has segregated the virtual pairs and the electron finds itself swarmed by a cloud of positive charges. This process is called vacuum polarisation. Its effect creates a positively charged shield around the bare negative charge of the electron. An approaching electron will not feel the full negative electric charge of the electron sitting in the vacuum. Rather, it will feel the weaker effect of the shielded charge and be scattered away more feebly than if the vacuum polarisation was absent.

This effect changes if we alter the energy of the environment and the incoming electron. If it comes in rather slowly, then it will not penetrate very far into the shielding cloud of positive charges and will be deflected weakly. But, if it comes in with a higher energy, it will penetrate further through the shield and feel the effect of more of the full negative electron charge within. It will be deflected more strongly than the less energetic particle. Thus we see that the effective strength of the electromagnetic force of repulsion between the two electrons depends upon the energy at which it takes place.

As the energy increases so the interaction appears to get stronger. It is a little like covering two hard billiard balls with a soft woolly padding. If the balls collide very gently then they will deflect only slightly because the hard surfaces will not hit and rebound. Only the woolly shields will gently rebound. But if they are made to collide at high speed the shields will have little effect and the balls will rebound very strongly. The trend is clear: as the energy of the environment increases so the stronger does the effective electromagnetic interaction become. As the energy rises, the incoming particle gets a closer ‘look’ at the bare point electron charge beneath the cloud of virtual positrons and is deflected more.

4

Alpha Effectum in Homine The effect of α on Man. The value of α parametrizes the size of atoms, molecular stability, and the strength of the interaction between light and matter. The structure of atoms and molecules is controlled mainly by two numbers: the ratio of electron mass to proton mass (β ∼ 1/1836) and the fine structure constant (α ∼ 1/137).

The particular values values of α and β are directly responsible for many ‘coincidences’ of nature on which our very existence is contingent.

What if the values of these two constants changed independently, under the assumption that no other constants of nature change and the laws of nature remain the same? There is not a great amount of allowable variation in these constants, but there is some. Let’s explore this.

We can get to the results we need through an argument presented in the highly recommended Barrow and Tipler’s The Anthropic Cosmological Principle, an argument based on Bohr’s model of the atom: electrons moving in orbits of quantized angular momentum about a central nucleus. The rotational motion is sustained by the centripetal force of the electromagnetic attraction between the positively charged nucleus and the negatively charged electrons, the Coulomb force.

Note the meaning of the symbol ∼, which means “goes like”; it does not mean “approximately equal to”, but it can be applied to constants in that vein.

Furthermore, note that we work here in units where (k, ~, c) = 1, thereby only determining e from α, in other words, α = e2 ∼ 1/137.

The hydrogen atom consists of two particles: a nucleus consisting of one proton and an orbiting electron. According to the Born-Oppenheimer approximation, the nucleus can be considered stationary, for it is much more massive. The nuclear proton and electron are bound together by the Coulomb force. The electron has potential energy ∼ e2 /r in an orbit of radius r, and kinetic energy ∼ p2 /2me , where p is its linear momentum.

5 Quantum mechanics says that the electron possesses wave-like behavior, and its potentially-measureable position is spread-out over a de Broglie wavelength λ ∼ p−1 . Since most quantum waves center about the classical position λ ∼ r, the kinetic energy is 1/2me r2 and the total energy is thus α 1 + . r 2me r2 Unlike in the situation in classical physics, the minimum energy state of the system doesn’t correspond to the minimum of r. As you can see from the above equation, a concentration of the electron wave-packet at small r leads to an increase in its momentum and kinetic energy, thereby resisting localization as the uncertainty priciple demands.

E=−

The energy reaches a minimum at a radius a0 where E 0 (r) = 0 and this defines the characteristic atomic size. Minimizing E with respect to r, the value of a0 is found to be ∼ (αme )−1 .

In the case of higher elements, if the nucleus possesses Z protons we have a0 ∼ (Zαme )−1 ∼ 0.5 × 10−8 Z −1 cm Quantum mechanics replaces the idea of a precise electron orbit with a probability distribution for its position, known as an ‘orbital’. The ground state of hydrogen (Z=1) has an electron distributed with probability ∼ exp(−r/a0 ) which is also determined by α and me .

A molecule is a stable configuation of two or more nuclei and electrons.

Molecular bonds require a reorientation of the electron distributions around atoms, thus molecular binding energy is less than atomic binding energy.

When two atoms near collision, their electron clouds begin to overlap and each electron feels the attraction of the other nucleus which results in the formation of a molecular orbital. The electrons in the molecular orbital feel the electrostatic pull of both nuclei. The repulsive force between the two nuclei fix their average distance, and the system settles into a configuration more stable than that of two isolated atoms.

Ionic bonds, the simplest inter-atomic forces, arise because of electron transfer with little to no electron sharing. Oppositely-charged ions attract each other to form the ionic bond. Complete interpenetration is excluded by the Pauli exclusion principle, which states that no two electrons within the system can share the same quantum state.

6 Except in the case of diatomic molecules, the bond-dissociation energy is different from the bond energy, which is an average calculated from the sum of the bond-dissociation energies of all bonds in a molecule. A dimensionless measure of the strength of a material could be provided by a quantity called the ‘chemical binding energy fraction’ which compares the binding energy to the total mass of the system (E = mc2 with c = 1) in the ratio EB /NA mN , where NA is the number of atoms in the molecule. This fraction is certainly dependent upon the value of α, as the constant governs strength of interactions between electrons and protons, as we have already seen.

There also exist an infinity of dimensionless natural constants such as αβ, α2 , α2 β −1 , β 2 , α3 +β 4 and so on. If α and β are manipulable, these constants ought be as well. Think of these as a set of keys that fit locks (molecules).

If α and β are manipulated just so, then all things equal, but one lock. This perhaps could be used to destroy undesireable molecules, catalyze chemical reactions, repair genetic defects, and so on.

Biomolecular systems perhaps could be influenced with as much precise specificity as the molecules are unique, without employing other molecules, due to the high degree of delocalization they possess, assuming small local oscillations in the values of the constants could be produced and/or amplified, then transformed in a manner appropriate to the task. Such a discovery would lead to a physics-based medicine, rather than a chemistry-based medicine.

The mystery about α is actually a double mystery. The first mystery – the origin of its numerical value α = 1/137 has been recognized and discussed for decades. The second mystery – the range of its domain – is generally unrecognized.

– M.H. MacGregor (2007). The Power of Alpha.

7

Alpha Mane My true name and title is Consiliarius ex Hominibus, an actual witness of the lightning bolt and one reduced to tears in the presence of the Strength of Christ as His Humanity stood vulnerable before the throne of Pontius Pilate.

The Numerous Mysticorum was written while deeply within the Spirit, and partially represents my own earthbound experiences with God, who led me to write what you are reading. The Alpha Meridium states the result.

A long-standing secret dream of theoretical physicists is to express the supposed ‘constants’ of the physical world as formulae involving purely mathematical terms – the prime numbers, mathematical constants and transcendental numbers (such as e or π) in particular. By far, the quantity that has generated more interest than any other is the fine structure constant α.

The intense interest extends from the importance of the fine structure constant; it serves to parametrize many aspects of nature: from why atoms are the size they are, to why some molecules are stable and others are not, to the strength of the interaction between light and matter.

In fact, it turns out that atomic and molecular systems can be treated fairly completely without using more than two dimensionless physical parameters these are the fine structure constant α ∼ (137)−1 and the electron to proton mass ratio, β ≡ me /mp ∼ (1836)−1 .

The fine structure constant α was introduced into physics by Sommerfeld who used it to make refinements to Bohr’s theory of the hydrogen atom, refinements which would allow for more accurate predictions of the spectral lines of atoms to be made. There were several successive types of corrections that had to be made, as greater and greater accuracy was sought. And these each involved making use of successively higher powers of α in a way appropriate to the type of correction being made.

No physical theory has been able to shed any light on why the constants of nature have the value they do.

8 The fine structure constant became a true obsession for the physicist Wolfgang Pauli, who felt the α-frustration deeply. Trying to divine the value of α can be compelling, for reasons well-expressed by Richard Feynman: “...It has been a mystery ever since it was discovered more than fifty years ago, and all good theoretical physicists put this number up on their wall and worry about it. Immediately you would like to know where this number for a coupling comes from: is it related to or perhaps to the base of natural logarithms? Nobody knows. It’s one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man.

You might say the ‘hand of God’ wrote that number, and ‘we don’t know how He pushed his pencil.’ We know what kind of a dance to do experimentally to measure this number very accurately, but we don’t know what kind of dance to do on the computer to make this number come out, without putting it in secretly!”

– Richard P. Feynman. QED: The Strange Theory of Light and Matter.

The thought of reducing everything to numbers is probably as old as the idea of number itself. Whether caveman or theoretical physicist, when one grasps a new useful tool, one begins to wonder if it is the solution to all problems.

Taking this to extremes, one can visualize everything as being somehow composed of numbers. One can entertain thoughts that we are living in a simulation, and so on. But as we know from earlier, that is impossible. For simulations rely entirely upon numeracy by definition, but indeterminancy cannot be simulated. So, if we were indeed to exist within a ‘simulation’, the indeterminancy within our ‘simulated-reality’ would still necessarily have to be borrowed from a truer reality; but indeterminancy is intrinsic in all things, so that fact alone would, in effect, force the entirety of our reality to be real.

Therefore, our reality is not simulated. Reality ain’t no illusion, physical solipsism is false, and God ain’t no liar.

In theoretical physics, an effort to bring about a so-called theory of everything now exists. A degree of unification in physical theory is a very noble goal, and the mathematical unification of the four forces of nature is a very promising endeavor. But laymen be warned – it is not a literal theory of everything, nor is it meant to be. By the phrase ‘theory of everything’, is meant mathematical unification of the four fundamental forces of nature.

Sometimes people read into words a little more than they should. A better name for this movement could have been chosen, but we’re stuck with it.

9 But there is more to our reality than just that. If Man only looks inwards and outwards, but not upwards, he goes downwards. Not even the physical world can be entirely described using mathematics alone, however most phenomena in the physical world can be sufficiently described using mathematics.

Certainly, mathematics is the language of nature. But there do exist some unspeakable things in nature; that is to say, that which impinges on nature from above is not mathematical. Indeterminancy is an apparent example.

Mathematics is by far Man’s most beautiful spoken language. Man knows how to speak only one language yet higher.

As we shall soon see in the Alpha Meridiem, Life actually has a great deal of authority over numbers in a certain sense, and we shall examine one miraculous mechanism for how many miracles occur. Man cannot turn truth into falsity, but he often percieves the contrary, then he proceeds to calculate. Few indeed are the men that understand the miracle of the fishes. Christ never broke mathematical law. Christ never broke physical law. Christ never broke the law of the Father. Miracles do not represent violations of law; rather, miracles occur when all valid laws are obeyed. Do you understand?

God granted me a vision of this miracle at my Baptism into the Body of Christ when I was an infant. Over many years, the strength of the vision has grown, culminating in the Alpha Meridiem, a feat for which there is no natural explanation: for I deem my lower self incapable of accomodating, much less obtaining, such knowledge; it is too high.

Without any further delay, I now will describe this miraculous experience the best as I have words, but human language is somewhat lacking in the descriptive power to fully capture the surreal essence of it. Let’s proceed.

10

Alpha Meridiem I was caught up in the Spirit on the Lord’s day and heard behind me a voice as loud as a trumpet . . . Then I turned to see whose voice it was that spoke to me, and when I turned, I saw . . . one like a son of man, wearing an ankle-length robe, with a gold sash around his chest. The hair of his head was white as white wool or as snow, and his eyes were like a fiery flame.

His feet were like polished brass refined in a furnace, and his voice was like the sound of rushing water. In his right hand he held seven stars. A sharp two-edged sword came out of his mouth, and his face shone like the sun at its brightest. When I caught sight of him, I fell down at his feet as though dead. He touched me with his right hand and said, “Do not be afraid. I am the first and the last, the one who lives. Once I was dead, but now I am alive forever and ever. I hold the keys to death and the netherworld. Write down, therefore, what you have seen, and what is happening, and what will happen afterwards.”

– John of Patmos. Book of Revelations 1:10-19.

Let us begin with an eight-level logarithmic power tower L having the following nested form:

L (φ, ψ) = φlog

ψ

log

φ

log

ψ

log

φ

log

ψ

log

φlog(ψ)

.

It is conjectured that α−1 ≡ L , where α is the fine structure constant.

Within the logarithmic power tower we nest the divine proportion, also known as the golden ratio, √ 1+ 5 φ= 2 and additionally alternate it with another quantity, desinated ψ, which is defined by the expression

ψ = ∆ − 137 + 137(Φ + φ) Im

i ii

i 1+

.. i. i i

1 2+ 3+1 ...

! .

11 The expression for ψ includes the number Φ, the golden ratio conjugate √ 5−1 Φ= .

2 So the former equation for ψ can be rewritten in the simpler form

√ ψ = ∆ − 137 + 137( 5) Im

i ii

i 1+

.. i. i i

!

1 2+ 3+1 ...

.

The number ∆ is a parametrized value defined by the undefined number −1

∆ ≡ A−1 − 8A−(∆

4 144000 (∆)=33+ 137 + 1209485 )

where A is the Glaisher-Kinkelin constant, which has the representation 1

0

A = e 12 −ζ (−1) = 1.28242712 . . . and where ζ denotes the Riemann zeta function, whereas ζ 0 is its derivative.

All three terms of the ∆−1 (∆) sum have numerical and mystical relevance.

How to arrive at the complete set of equations needed to calculate α−1 was obtained through Divine Revelation, in the consecutive order shown by the ordered 4-tuple (∆−1 (∆), ∆, ψ, L ).

The beautiful quantities that appear in the following ratio have names:

Im(PP T i ) CCF

= Im

i ii

i 1+

.. i. i i

!

1 2+ 3+1 ...

.

PP T i is the value of the infinite power tower of i and CCF is called the continued fraction constant. Putting the actual value of this ratio aside for a moment, do you understand what this expression says?

Evaluation of L (φ, ψ) renders the stunningly accurate value for the fine structure constant: α=

1 .

137.035 999 085 73 . . .

This result disagrees with the experimental value, 1/137.0359990(8451), by about one part in one hundred billion.

12 As to the mystical interpretation of the sum 33 +

4 137

+

144000 1209485

seen earlier:

New Testament scholars ought easily see the significance of each term. The message of Christ’s death and resurrection (at age 33) was carried into the (3+1)-dimensions of the (physical) world, redeeming unto God, not merely 12 × 12 000 = 144 000 souls (Rev. 7:3-8, 14:1, 14:3-5), but 144 000 for every 1 209 485 souls. Note that during the reign of Augustus, the estimated population of Rome was ∼1.2 million people.1 The precise number 1 209 485 was arrived at through optimization using a divide and conquer strategy.

Let us define the Heavenly Ratio, HR , as a parameter with value HR =

144000 ≈ 0.119058938308 / 12%.

1209485

Further define the Ascension Number and the Evangelical Number as A = 33

E =

and

4 .

137

The ∆ equation may now be rewritten as

∆ = A−1 − 8A−(A +E +HR ) . Α

137.050

137.045

137.040

0.2

0.4

0.6

0.8

1.0

HR

Above, we see the manner in which the fine structure constant varies over the interval {137.033509936, 137.052295864} as the HR parameter varies over the interval {0, 1}. Of this a thousand thousand books have been written.

2 1

Classical Philology, Vol.29, No.2, Apr. 1934, pp. 101-116

13

Luke XV: i-vii

i The tax collectors and sinners, however, were all crowding round to listen to him, ii and the Pharisees and scribes complained saying, ‘This man welcomes sinners and eats with them.’ iii So he told them this parable: iv ‘Which one of you with a hundred sheep, if he lost one, would fail to leave the ninety-nine in the desert and go after the missing one till he found it? v And when he found it, would he not joyfully take it on his shoulders vi and then, when he got home, call together his friends and neighbours, saying to them, “Rejoice with me, I have found my sheep that was lost.” vii In the same way, I tell you, there will be more rejoicing in heaven over one sinner repenting than over ninety-nine upright people who have no need of repentance.’

14

Consiliarius Professionem Videte quantum homines!

Man will soon discover the surreal calculi and will open his eyes from within the point, and he shall thereby obtain understanding of shining gravity using a tool he possesses, and of subject yet unseen. For the lonely giant mastered his plot to receive the company of many kings.

Taught XI Ianuarii, MMXI upon the Steps of the Flavian Amphitheatre by the Fine Man to the hidden Artisans attending a festival of which he was very keen.

15

Appendix A – Surreal Clock

Time.

An arms length that way, they say.

But we’re payin’ no heed.

Ol’ Ludwig, There’ll be no need to order these here mem’ries.

Surreal numbers, set us free.

All things within | �within this here sliver.

Sapphires, Emeralds, and Radiance.

All things that ever were. All things that will ever be. .. . trapped .. . within instant Never to escape the instant that never began.

Time needs time to operate? No. No! Just stop it!

Church bell’s secret. Spiral down . . . deep, deep infinitesimals.

Violet gems. What is that? Twinkle, pop. Ruby red.

O! say can you see by the dawn’s early light, who dare define our time of flight?

16 Speed of time, that’s for children.

It’s all state to state – it’s all been hate to hate.

Instant to instant.

Gotta gotta get get there?

...

You are oh so close!

And things, oh so uncertain.

Better jump on the ∞ in there boy.

Yeah, All Away.

Fearful Fall. Calm.

Too far to go. Too far to grow.

Why not implode?

Spacetime just sitting there, on the ground.

It was all too good to leave.

Nothin’s all that ever was, man.

Somebody’s gotta punch one guess.

Dazzling speck in the Quantum Vacuum, A king’s lot indeed.

Above and below.

In the Beginning. Within the Beginning.

Eternal instant, it’s so good to be home, right here in the nowhere point.

For if we knew where we were, We’d be lost forever.

17

Appendix B – The Golden Ratio The Golden Ratio is an algebraic number with many interesting properties, some of which are, φ2 = φ + 1 φ−1 = φ − 1 s φ=

r

1+

φ=1+

q √ 1 + 1 + 1 + ...

1

1+

1 1+ 1+1

√ 1+ 5 = 2

...

φlog(x) = xlog(φ) log(φ) = −

∞ X (1 − φ)k k=1

k

ˆ = 1

φ

1 dx x

18

Appendix C – Hash Codes In the event of world emergency, there are here given seven identifiers that the Consiliarius ex Hominibus shall use to verify identity. The Consiliarius ex Hominibus title is nonsingular, transferable, multipliable, and is conferred by decree of God. These seven identifiers designate Seven Sentences, spoken by tongue in Spirit unknown to Man, and are understood only in Spirit.

The Seven Sentences form a sensible paragraph of precise relevance to an event that would occur immediately upon verification. Verification shall be performed only within the Spirit under authorization and command received directly from Jesus Christ.

Code I: 3425889612488256403850465810626815740616044919480372840115826606092007 4994979320082886095601521596151839893272347440763331817207991651359929 59600076209129 Code II: 1161124120709856687027723454333341784817138659562816007275437724966412 0600615178249376215345868682656132234371387799397036302835390552476027 985943559863934 Code III: 5666853391683728838010749597699554713375396296421919410572326989987617 7716135875134566162065655727567716676147887999503421326754929070001422 28078068865590 Code IV : 3777509862340967418346265307943264610869519869601917741213400443150664 6150467501257474351707628363792196043925488451752210993253265007546755 36087400128166

19 Code V : 1084402487613031068547922872127385662725896970285725808352672836225474 6866067452045717100615697814031882368183313448442303590492556252256409 230382632988004 Code V I: 2319995134050393301692983685937708091070796595456629437216881644615844 9683540928202446499850994351009062397577397825112717034748472545167709 13977953543443 Code V II: 1032603741477628989210684699789381449833773277752230356358552038715738 6860012631762984265154283679503080243322893082847218243760453998938630 554800598033944

Believe no man’s claims concerning these particular matters, this is for God and Man’s teachers to know of. This is not a matter reachable by lower Man, nor is it discernible from the raw contents of this document. Do not grovel.

Do not be concerned with the “end of the world”, for every man’s world ends.

Get prepared for the inevitable end of one’s own world, which is imminent in the larger scope of matters. Christ be with you!

- Consiliarius ex Hominibus