{Chiral but Complement]: Anti-Symmetric (That+This≠This+That)

Asymmetry Chirality

One mightliketothinkof Nature as being perfectly symmetric whichin manycasesshe is butratherfascinating is toagain discover paradox at thebasal heartof Reality It isnotsimplythatparadoxes likeEscherianloops rockfperissors are apart of ourreality but it is furtherthatonemightsaythese intuitivelynonintuitive conceptualobjectsactuallyunderliethe morefundamental Fit Symmetryisonesuch example ofthese intuitivelynonintuitive concepts simply because ofhowubiquitously symmetricNatureandherprinciplesare somuchsothat it isalmostalwayshighlyprofound to discoveranysemblance of spontaneoussymmetrybreaking whether ithastodowiththeHiggs P me iiiii iiiItiiia.e aurofacialasymmetry onavgthehumanfaceisslightlyoffsettotheleft theBrain'ssplit ffjjf.itgfggfgf

he heres in waitinggait Evolutionofmono dioecious say as a 9Osatheteronomogamelicityldimorphismshandmanymoregene 0 AM findthat manyofthese

Doradotested many of the emergentlyscalingstrataof Nature Forexample onemaytracethe originof

I itiiiiiiiiiiiii t.in ii iiiiiii e.y thefirstCatalyticRNAsofbeingrighthanded some showthatthisrighthandednessoftRNAs emergentlyFtsapreferentialityforbindinglaminoacidstoxfasterthan D aminoacids Butevenifwearetodescendintothestrataof Electromagnetismanditsunderlyingvectorcalculus 1

T.si E 7 i Kalculusclassandlatermyphysicsclass the the y

COOH

Promiscuous elusivelyandarbitrarilyso I certainlyrememberwondering rather yz.ir

eadthatAxBBxAbutnowNaturerevealsherself iii ifiitidiiiiiiiiiiiiiiiiiiiiiiiii i 0 a l

a.ua i

I thatmixedPartialderivativesarecommutativethatwhether f x y

ÉÉÉÉfÉÉÉ ÉÉÉÉÉÉÉÉÉÉÉÉÉÉÉfÉfÉf HIIIII

inthesamewaythatAxB B A Interestingly thisis a subtlelie asin higherphysmatics itrevealsitselfnottobeperfectly ff.gg If commutativeThatdoingoneandthentheother

Eiidtmiannoni

Leeand CNYang predicted intheir1956paperthattheweakforcewouldviolate Parity conservation Beforethat itmaybebesttomention Noether'slegendarysymmetrytheorem derivedfromtheprincipleofleast action deservespieceofitsown itgoessimplyassuch everycontinuoussymmetryhasa correspondingconservationlaw 2 Symmetry Spacetranslationlawsofphysicsinvarianttolocation correspondsto conservation Momentum

reunion m

dependentphenomenaofBetadecay 1 ifparityconserved Thecobalt60nucleipreferentiallyemitselectronsopposite toitsspin meaningthe nucleiwillemitdownwards andthe nucleiwillalsoemitdownwardssinceitParity isconservednaturehasnoreasontoprefertherighthand ruleoverthelefthandrule 2 theexperimentalresults Nope ItshowsthatevenwhenspinisreversedthatNature forwhateverreasonstillpreferstherighthand ruleYang andLeewouldgoontowintheNobelforthisWureceived iiiini.tkifiiiitisiiiai shiit'piii.is

ittoowasviolated 1964CroninFitch Theywentuponemorelevel nowholdingontocharge paritytimeCPT symmetry whichhasyettobeviolated

Speaking of non commutativity letslookatTheDirac Equation

Startingwiththerelativisticeq E pc m c andreplacingtheobservables w QuantumMechanicaloperators yielding 1 4 04m 4 0 2 2m m x D WhichistheKleinGordonequation It is slightlyunhelpfulbeinga2ⁿᵈ orderdifferential and assuchwouldbehelpfulif wecouldsomehow Isquareroot thedifferentialoperator Dirac ftp.iinIn f s.iis it.ni mitii iii ftp i itiig where α α α β I In astrokeofgenius Diracrealizesthenoncommutativity indicatesthatwhathe's dealingwitharenotregularnumbers butmatrices I If SohecreatestheDiracalgebrausing ther matricesasgenerators r a r I

Forgivemefortheveryunrigorous semanticshere as I neitherhavethepagespacenorcompetence todescribesuch inthefullrigor detail it deserves Onecan imaginethat Dirac's KleinGordon andas werememberthat piracst.fi ffw m t oI I when performing a Foot fry 2,2m m Y 0 onegetsbothpositiveandnegativesolutions Thisimpliesthatthereought

beparticlesthatcandecayintolowerandlowernegativeenergystateswithits

nyyyygffyfgyy.gggyynyygqyfigg.fiyfyygyfyyywgfgfyyfffff.ggqq.ggyyffyffffffnf.ggfyyfffffg.ggyyyggyyyygygyyyyyg.gg

willoccursendingtheelectronlikea waterdropletupintotheairtooccupyapositiveenergystateWiththiswaterdroplet thereis acorrespondingdisplacedairbubbleintheseaThishole inthevacuumwouldeffectivelyhavepositiveenergyand

holewastheprotonWeylwasquicktothepunchrefuting Diracitcannotbe

mass hewould'veeffectivelypredictedCarlAnderson'sdiscoveryoftheposition y rslater.AntiMatter.li Y oy 8 putme v O fuu.ua

Hygyzygyzygypgggggggggggggggggggggggggff g y

T.ci ar.i s i i iat i iase t.iti iiii paiiepn saingingtostrinstneo sanelegantalmostfantasyimbuedsandbox'ifiedMathematicalframework whichwhilebeautifulin asenseofMathematics ailstotracebacktophysicalreality Ithinkthisdefinitional philosophicalstratification ofbeautyisincrediblypertinenttoday

I learntmylessonthen todistrustallphysicalconcepts It ismoreimportanttohavebeautyinone'sequations asthebasisforatheoryInsteadoneshouldputone'strust thanhavethemfitexperiment pA M Dirac intoa mathematicalschemeeveniftheschemedoesn'tappearat

Beautyistruthtruthbeauty JohnKeats firstsighttobeconnectedwithphysics

Perhapsweshouldfancyourselves withsomeevolutionary Biology Whyis itthatLifeonlyrecently on phylogenicscale opttospontaneouslyasymmetricallypartitionfromasexualmonoecious hermaphrodite systems whichstill comprisesthelargemajorityoflife in microorganismsandplants intodioecioussystems whichpredominatestheanimals Ona surfacelevel it mayseemcounterproductivefora species reproductivefitnesswitha 11 ratioasopposedtoanasexual monoeciousspeciesconsideringthatonlyhalfofthepopulationcanproduceoffspringOneunderstandsthatanyAsexuals.gg additional beyonda 1 ratioproducesnoadditionaloffspringbutthereverseisnottrueTothisonemight question Ifthereweresucha mutationwhichproduceda ratiowouldn't itseeagreaterreproductive

Wellyeskindof InmanyexamplesliketheAmazonMolly orthenewMexicowhiptail anall species

managetotakeoverinthelongrunimplyingthatasexualspeciesareconstantlybeingcreatedandtheneliminatedpayingsomelongterm penaltyfornotuptakingtheadvantageofsexFromthiswemayaskthebroaderthematicquestionof whatpreventsrunawayselectionAndwhy Fisherslprincipletobeginwith Considertheadactylidiummites anexceptiontothiscase Amotherwillharbor5 6 andasingle matingandfeedingonthemotherandonlyleavingaftertheintraoffspringmatingiscompleteTheasymmetricratiocanonlybe maintainedbyclosingoffthereproductivebarriersinpreventingthe frommatingwithoutsidersThissubjectsthecohorttothe forceofpopulationselectionasopposedtoindividualselection bcthelatterwouldallowthesingle tofathermanyoffspring

f Éi i iiÉÉÉiÉÉi.iti iiiiiii

t iii itiiitif it wherehighlyunsuccestulSsuccessfularebothmorecommon gobigorgohomeThistopicinthemodernpoliticalclimatehasbecomequitecontroversialandhasbeenmeasuredanddebatedinnumerousarenasofcontextfrommorphologytopsychologyetc I willsaythattheproposedmolecularmechaniseingthatthesexchromosomeintheheterogameticsexismoreismorebiochemicallyvolatilethussubjecttomoremutationalvariance indicatesthatit hasnottodowiththeinherencyof butthearbitraryassignmentofwhichsexisheterogametic humans xy xx somebirdsinsects xx 2

T.fi

Htestmn thaatin Hap here skies'sfish itsftp.ilia fnigtehissnhEtheYiiie p piting sftp.d nfactitisnecessarytomaintainthis geneticdiversitywhichbringsuptheLekParadox howisitthat populationsmaintainvariabilitydespit beingsubjectedtoanasymmetric selectionforceHowisitthatFisher'srunaway selectiondoesnotoccur Howisitthatdespite 9sonlychoosingparticularlysexy peacockspidersthatthetraithasn'tyettakenoverthespeciesandselfextinguisheditselfas adifferentiator Itonlysexy spidersreproducewhyhasn'ttherebeenarunawayofhomogenoussexiness Howdounfavorable genespersistdespitelowfitnessbarriers Onemightsuggestrandommutationasananalogytostochasticthermodynamicfluctuation providingenergytohopoverkineticbarriersbutmanywouldquestionitselectionwo ldeventareplacewithsuchastron

i iii É f ffÉÉff ftp.ffffffffffihfhf hisnotionofparasitesasaleftwardequalizer isincrediblygeniusbc it s

fe.wsTmbIhfohb

ftmttaYI

eh IfI hrs hhg Ét Hamlets

divorce

entwinedlandscapeofadjacenciesandisomorphisms Onesuchfacetof between182perhapsaftershocks t.Expepimentalistse2Theory.is 384 EntertainingDaVinci'seraof similarlytooofwhysucha ffffffffffff.FI ftp.ffffffyofpfffmaf

differencesagainsteachotherleadingto a riftforgottenoftheirshared roots separationintospecializationmeans anecessityforconstantcrosstalk

aforementionedDiracstorybutsotooofhis1963ScientificAmerican

Schrodinger andimplicitlyhimselfasanexampleofhowbeautifultheor misinstantiationsorevenfromthenaivety youdon'tknowwhatyou

T.am ai

mentalobservationsthatcatchtheMathematicswiththeir pantsdown Like in1999 whentheoreticianshadbeenprofessinghowtheuniversemustbeslowingdowncollapsing nonitsownweightofgravityinsocalled deflationarycosmologicalmodelsonlytobesurprisedbyLawrenceLab'sfindings thattheuniverseisintact

naimreignedsupreme.Isay fit in get was hatin stat it fs iiiha teYenAratiaH beenknowntobeincapableofdrawingatallnortobeabletohandwriteneatly andifyoudon'tbelieve I m i si p a n.it ytminiorewarawin aHE 1 446 Hst S HEba Philosophyofsciencewithout philosophyofscienceisaboutasusefulto scientistsasornithologyistoBirds vesthatwindofindependencefromprejudicesofhisgenerationfrom P en e ftp.gesnhthgtmtghgfabfe.atffa It hichmostscientistsaresufferingThisindependencecreatedfrom sciencewithoutphilosophical hjggqggfjnasiqygj.ggqq.yyyyyggygggy.gggiggling yyggggygyygggg.ggqq.ggyep it ititit usesaremadeofstonesso Ieience.at.fiIah if sciencemadeoffacts butapileofstonesisnotahouse butthroughintuition Led andacollectionoffactsisnotnecessarilyscience Poincaré

handwemightbequicktolaughthisoffasa

basisWhetheritwasPoincaréwithabittoo muchcoffeebeforebedorKekulé'sfeverdream

orperhapswhat'sto

demarcationproblem Galileowroteaptlythatthe

tofalsifythemlikeanassaystonerevealingfakegoldButthenwhat fterbeingfalsifiedbytheMichelsonMorleyexperimentandthenlater

oughttootolookattheinter dichotomies betweenscience anditssistersofArtsAartriftCpsnowcallstheproblemoftwo

n whichweonlyseemtosatisfyonesideofDaVinci'srennaisance am we.am acknowledgeandrenderallsortsofexplanationsforhowArtis aSciencealmost in a reductionistfashionasiftosaythattherevelationoftheunderlyingmechanismsmagicofthephenomena Itwilloftenbeusedtosaythingslike thatsongpainting themeteorite b b eiigatinktiimtai.is hFaotm

entertainthereversethatasRiemannoncesaid Perhapsweoughttostudymusicin BrainfindsitpleasingbecauseitsnotachoiceTheeleganceordertodiscovernewMathematics inreferencetohisfamousZetafunctionwith iii iiiiiiiiii iiiii iiiiiiiiiiE ii.in iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii.in

upwithapredictablepattern

AswithmanyfacetsofNature withsounds wavesand areingrainedtobelieveisNaturalbut iiiiii iei i iiieiii.it iiiiiiiiiiifiiiiiiiiiiiiiiiiiiiiiiiiiii.itiiiiiiiiiiiii t.it

The ftp hitnfE.IfYaiP i rf Indetti satisfysomerulebefore productsumrevealinganallprimesequenceofnumerators Itisclearto ifp Mathematiciansthatmanyofthedeepmysteriesofprimenumbersareto asfollowing0 1.618

Forthisreason

PerhapstheMusicbuildingoughttobehousedin Butletusnotforgetthisisomorphism isinvertible butalsoan fix Art Science Thisasymmetry it'softenseeninthedirectionofempiricalrational pursuitofbeautybyartistsbutrarelyisthereverseentertained canalsobeanincrediblypowerfultoolinscientificallyunravelling

If944paperCNYang JSimonsAWeilonAlgebraic Differentialgeometricrevolution WhyisGeometrysoeffectiveatdescribingPhysics 2 Alsolongfeltbutonlyformally

bedeazandsimpl.fi rightlines

ideiativet 1 tiiiiiiiiii i i iiiiiÉii

structurescanbestbemodeledsapproximatedviaacollection 1 swhihdts.cm d9ddt

landingontheforefrontoftheoreticalBiologyarmedwithamicroscopeanda sp 5 1n n wYeg'esntaiihnkl.laaiinhhbinntfhoow

ÉÉÉÉÉiÉ 1906whenCajalsGolgisharedthestageattheNobelPrizeGolgiheldhis tethoughtthatthedendritesweremerelynutritivelinkstobloodvesselsthattheaxon heNeurontheorythatjustlikeintherestofthebodyeachneuronwas aunitconstituent hint in

synapsesfromtheaxonbranchesontothetinyhairydendritesHisattention Jiggybyelievehecoulddiscern adirectionalpolarizationofthethickdendritic stinctlayers corticallayerhierarchy andwithitevenpredicted flow Hewasoftencriticizedforsimplyhallucinatingupartisticrenditionsthetimehisideaswouldonlybedefinitivelyconfirmed inthe1950s

Head the dha f h th the butnotexactlysymmetriccounterparts Iwoulddaretosuggest totheirlessdreamymorehardheadedcolleaguesofgreatmenOf iii iiiiiiiii

asmoothcontinuousdistributionAstheFDysonputitonemay afrogLegreatHomme Itseemstoappearthat ofsciencehavean extraordinarilykeeneyefortheBeautyinTruthTruthin BeautyJohnKeats them state a I that If staff novelcomprisedmostlyofaDarkMatterthatcan'tbeseennorinteracted SciencehasanincrediblevisionforthegrandesquenarrativeofNature heindividualgemsoflinesbutthealigningcoherenciesintostanzas wrapping into first

b iansiormaiiinstmaMnjtiimiiieianin dentity sight is Ithinkone fairiesonereadsof

fffacfffaiffff.fm fff Hf

ideologicalcritiqueescapevelocityherearesomeoftheirinternalmisgivings Itwould expressdisappointmentinthecampaign'sfailuretoproducemeaningfulrolemodelsquoti exemplarymodelsisprobablymorehurtfulthanjustsayingnothingatall itjustinflicts internalguiltofnihilisticaimlessness WhydoInotfeelgreat I amtoldthatI'mcapable0 II.fiiff f.fififffffififf ffffffffff.fi fffff.fiffffifff ftpfifffffffjy meansthedissuasionofthosewithextremepassionscuriosityfromenteringthearenaunwil ingtoengageinthefiercecompetitionofstatusseekinggamesSimplywantingtounravelth his steak p Entire it hitter pinhabiting t.in ronscientificcuriositiesbyfeedingthemselvesw thelatestSciencenewsorevenregisteringforseminarsclassesentirelyoutsideoftheirmajorIt nfathomablehowmanyfemalehistoriansArtistsetcI'vemettakingcomplexbiochemistryorAstrophysicscourses I believefirmlythatthesepeoplea repressedpolymathsindisguiseandthattheirabsenceinscienceisanimperativecrisis

Author's addendum Often directly after creating these Pities I'll feel like I have some casualrelated comments remarks I'd like to perhaps start adding these postcreditscene references that I don't necessarilywant you to attach to the post self consider it a Comments Bloopers reel LOL

Wealready knowhowpertinentsymmetry orlackthereof is in Biological Systems take for examplethethalidomide tragedy where

1 Cures Morning sickness

moleculejustmirrorimages enantiomers ofeachother

Teratogenic birth deformities

Worstyet effects ofthe enantiomers it wasnotknown that a nonracemic purification ofjustthe S enantiomer would alsofailto solve theproblem since it was found thatthe body in vivo performs an interconversion of the 5 R