reversing delbrück: using a genetics paradigm in susy
TRANSCRIPT
Reversing Delbrück: Using A Genetics Paradigm in SUSY String Theories S. James Gates, Jr. Brown Theoretical Physics Center Director, Ford Foundation Professor of Physics, Affiliate Mathematics Professor, and Watson Institute for International & Public Affairs Faculty Fellow BTPC Director Office, Rm 110, Barus Hall, 340 Brook St., Providence, RI 02912 t: 401-863-6452 e: [email protected] w: https://sites.brown,edu/sjgates
SomeMathematicalLessons
The Higgs Boson is “spinless.”
DegreeofFreedom(DoF)=1
PositiveHelicityRight-HandedCircularlyPolarized
NegativeHelicityLeft-HandedCircularlyPolarized
DegreeofFreedom=2
PositiveHelicityRight-HandedCircularlyPolarized
NegativeHelicityLeft-HandedCircularlyPolarized
Extra Slides
DegreeofFreedom=2
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M-Theoryunifiesallknownversionsofsuperstringtheory.In1995Wittenproposeditsexistence.Previouslyworkconstructed,whatappearedtobe,fivedistinctsuperstringtheories.Hisconjecturewasbasedon:(a.)fivesetsof10Dsuperstringequations,and(b.)11Dsupergravity.
ElevenDimensionalSUGRALimitofM-Theory
CountingDoFw/oQM12844+84CountingDoFwQM32066+165
CountingDoFon-shell12844+84CountingDoFoff-shell32066+165
KeepingTrackOfWithYoungTableaux
CountingDoFwQM2020
CountingDoFwQM2020
1977P.Breitenlohner
Thisexperiencesuggesthowtobuildoff-shellSGtheoriesintoasuperspace:(a.)beginatthecomponentlevelwithanon-shelltheory,and(b.)embedtheknowncomponentfieldsintoasuperfield.Buttheobviousquestioniswhatoff-shellsuperfield?
MaxDelbrück’s1930’sIdea
MaxDelbrück’s1930’sIdea:UsePhysicsConstructsToMakeAdvancesinBiology&Genetics
DelbrückScattering:Deflectionoflightbynucleicausedbyvacuumpolarizationobservedin1975.Arelatedprocessofthescatteringoflightbylight,alsoaresultofvacuumpolarization,wasobservedin1998alsopredictedbyQED.
(Wikipedia)
(Wikipedia)
Tempo and mode of genome evolution • Sequenced264completegenomes(12populationsx11time
pointsx2clones).
Tenaillon et al 2016 Nature SlidecourtesyofR.Lenski
• Neither the ancestor nor any early-generation clone produced a single Cit+ mutant. But clones from generation 20,000 onward produced many additional Cit+ mutants.
• By virtue of its particular route up Mt. Glucose, one lineage stumbled upon a path that led to Mt. Citrate.
SlidecourtesyofR.Lenski
BLASTfindsregionsofsimilaritybetweenbiologicalsequences.Theprogramcomparesnucleotideorproteinsequencestosequencedatabasesandcalculatesthestatisticalsignificance.
BasicLocalAlignmentSearchTool
https://blast.ncbi.nlm.nih.gov/Blast.cgi
https://blast.ncbi.nlm.nih.gov/Blast.cgi?PROGRAM=blastn&PAGE_TYPE=BlastSearch&LINK_LOC=blasthome
MaxDelbrückExportedPhysicsIntoBiology,Let’sImportBiologyIntoPhysicsBy“Sequencing”Equations
SUSY&TheBC(4)Permutahedron/Permutohedron
CM
CM
ddLCM
VM
VM
dVM
AlgorithmicArchitectureRequirements
GraphTheory/NetworkStructureDynkinLabelsPlethysmComputationalPower:LieART
Namingthe2,147,483,648bosonsand2,147,483,648fermionsofM-TheoryForSpecialRelativity
The“Genome”ofaScalarSuperfield:The10DimensionalExample
Littlewood-RichardsonRule
BosonicTableaux:Lesson#1
BosonicTableaux:Lesson#2
BosonicTableaux:Lesson#3
FermionicTableaux:Lesson#1
BosonicTableauxTimesFermionicTableaux:Lesson#1
BosonicTableauxTimesFermionicTableaux:Lesson#2
AnEnablingMathematicalFoundation:Klimyk’sFormula
PullingOutTraces:MathematicianUseTheKingDenominators…
PullingOutTraces:MathematicianUseTheKingDenominators…
PullingOutTraces:WeTieThemUp
The“Genome”ofaScalarSuperfield:The10DimensionalExample
10DSuperfield“Genome”YieldingComponentsInAnExample
SequencinganAdynkra“Genome”toanAdinkra:
BLASTInspiredSFSearchingFromComponentGenomicSnippet
L-5L-4L-3L-2L-1L-0
L-32L-16L-011DScalarSFGenome
,...
,...,
Acknowledgments StephonAlexander Sze-Ning(Hazel)MakJosephBuchbinder KonstantinosKoutrolikosIsaacChappell,II BoanneMacGregorMichealFaux JosephPhillipsJamesGonzales JamesParkerT.Hübsch LubnaRanaWilliamLinch RuebenPolo-SherkYangruiHu VincentRodgersKairyHerrara(graphics) LouisWassinkLeahJenks(collaboratorsandstudentslisted)ResearchsupportedbytheNationalScienceFoundation,BrownUniversity,andtheUniversityofMarylandoverthelastdecade
Acknowledgments TheGreatCourse(formerlyTheTeachingCompany)playedaroleinmyconceptualizationoftheCGIcontentinSuperstringTheory:TheDNAofRealityandMr.KennethGriggsanimatedtheminhttp://www.teach12.com/ttcx/coursedesclong2.aspx?cid=1284andmostoftheCGImediainthispresentationusesthese.