Space-time symmetry and quantum Yang-Mills gravity : how space-time translational gauge symmetry enables the unification of gravity with other forces

289 Pages·2013·2.671 MB·English

by  Hsu, Jong-Ping, Hsu, Leon

Space-Time Symmetry and
Quantum Yang–Mills Gravity
How space-time translational gauge symmetry enables
the unification of gravity with other forces
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ADVANCED SERIES ON THEORETICAL PHYSICAL SCIENCE
A Collaboration between World Scientific and Institute of Theoretical Physics
ISSN: 1793-1495
Series Editors: Dai Yuan-Ben, Hao Bai-Lin, Su Zhao-Bin
(Institute of Theoretical Physics Academia Sinica)
Published
Vol. 1: Yang-Baxter Equation and Quantum Enveloping Algebras
(Zhong-Qi Ma)
Vol. 2: Geometric Methods in the Elastic Theory of Membrane in Liquid
Crystal Phases
(Ouyang Zhong-Can, Xie Yu-Zhang & Liu Ji-Xing)
Vol. 4: Special Relativity and Its Experimental Foundation
(Yuan Zhong Zhang)
Vol. 6: Differential Geometry for Physicists
(Bo-Yu Hou & Bo-Yuan Hou)
Vol. 7: Einstein’s Relativity and Beyond
(Jong-Ping Hsu)
Vol. 8: Lorentz and Poincaré Invariance: 100 Years of Relativity
(J.-P. Hsu & Y.-Z. Zhang)
Vol. 9: 100 Years of Gravity and Accelerated Frames: The Deepest Insights
of Einstein and Yang–Mills
(J.-P. Hsu & D. Fine)
Vol. 10: A Broader View of Relativity: General Implications of Lorentz and
Poincaré Invariance
(J.-P. Hsu & L. Hsu)
Vol. 11: Space-Time Symmetry and Quantum Yang–Mills Gravity:
How Space-Time Translational Gauge Symmetry Enables the
Unification of Gravity with Other Forces
(J.-P. Hsu & L. Hsu)
11
Advanced Series on Theoretical Physical Science
Volume
Space-Time Symmetry and
Quantum Yang–Mills Gravity
How space-time translational gauge
symmetry enables the unification of
gravity with other forces
Jong-Ping Hsu
University of Massachusetts Dartmouth, USA
Leonardo Hsu
University of Minnesota, USA
World Scientific
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Advanced Series on Theoretical Physical Science — Vol. 11
SPACE-TIME SYMMETRY AND QUANTUM YANG–MILLS GRAVITY
How Space-Time Translational Gauge Symmetry Enables the Unification
of Gravity with Other Forces
Copyright © 2013 by World Scientific Publishing Co. Pte. Ltd.
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August14,2013 9:53 9inx6in Space-TimeSymmetryandQuantumYang–MillsGravity b1575-fm-v
July3,2013 13:44 9inx6in Space-TimeSymmetryandQuantumYang–MillsGravity b1575-fm
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July3,2013 13:44 9inx6in Space-TimeSymmetryandQuantumYang–MillsGravity b1575-fm
OnenewresultofquantumYang–Millsgravityisthattheapparentcurvatureofspace-
timeappearstobesimplyamanifestationoftheflatspace-timetranslationalgauge
symmetryforthemotionofquantumparticlesintheclassicallimit.
Jong-PingHsuandLeonardoHsu,‘Overview’,p.xxi,(Jan.2013).
Themostglaringincompatibilityofconceptsincontemporaryphysicsisthatbetween
Einstein’sprincipleofgeneralcoordinateinvarianceandallthemodernschemesfora
quantum-mechanicaldescriptionofnature.
Freeman J. Dyson,“Missed Opportunities”, Bull. of Amer. Math. Soc., 78, Sept.
1972.
Evidently,theusualstatementsaboutfuturepositionsofparticles,asspecifiedbytheir
coordinates,arenotmeaningfulstatementsingeneralrelativity.Thisisapointwhich
cannotbeemphasizedstronglyenough....Expressingourresultsintermsofthevalues
of coordinatesbecameahabitwithustosuchadegreethatweadheretothishabit
alsoingeneralrelativity,wherevaluesofcoordinatesarenotpersemeaningful.
EugeneP.Wigner,SymmetriesandReflections(TheMITPress,1967),pp.52–53.
Thistalkhas,Ithink,somethingtodowithgeneralrelativity,andIdon’tunderstand
generalrelativity.Youshouldthereforetakethesespeculationswithsomecaution.
VictorF.Weisskopf,on“Mach’sPrincipleandtheExistenceofGravityWaves”,Lec.
inTheor.Phys.,(Ed.W.E.Brittin,B.W.DownsandJ.Downs,Interscience,1961),
p.60.
Theimportantthingistobeabletomakepredictionsaboutimagesontheastronomers’
photographic plates,...and it simply doesn’t matter whether we ascribe these
predictionstothephysicaleffectofgravitationalfieldsonthemotionofplanetsand
photonsortoacurvatureofspaceandtime.(Thereadershouldbewarnedthatthese
viewsareheterodoxandwouldmeetwithobjectionsfrommanygeneralrelativists.)
StevenWeinberg,GravitationandCosmology(JohnWiley&Sons,1972)p.147.
v
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