LEADER 04695nam 2200685Ia 450 001 9910828066903321 005 20200520144314.0 010 $a1-107-14861-8 010 $a1-280-51610-0 010 $a9786610516100 010 $a0-511-21476-6 010 $a0-511-21655-6 010 $a0-511-21118-X 010 $a0-511-31533-3 010 $a0-511-53527-9 010 $a0-511-21295-X 035 $a(CKB)1000000000353201 035 $a(EBL)266594 035 $a(OCoLC)173610094 035 $a(SSID)ssj0000231388 035 $a(PQKBManifestationID)11225872 035 $a(PQKBTitleCode)TC0000231388 035 $a(PQKBWorkID)10207219 035 $a(PQKB)11221744 035 $a(UkCbUP)CR9780511535277 035 $a(MiAaPQ)EBC266594 035 $a(Au-PeEL)EBL266594 035 $a(CaPaEBR)ebr10131732 035 $a(CaONFJC)MIL51610 035 $a(PPN)241638232 035 $a(EXLCZ)991000000000353201 100 $a20031023d2004 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuantum theory as an emergent phenomenon $ethe statistical mechanics of matrix models as the precursor of quantum field theory /$fStephen L. Adler 205 $a1st ed. 210 $aCambridge, UK ;$aNew York $cCambridge University Press$d2004 215 $a1 online resource (xi, 225 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-11597-3 311 $a0-521-83194-6 320 $aIncludes bibliographical references (p. 212-219) and index. 327 $tThe quantum measurement problem --$tReinterpretations of quantum mechanical foundations --$tMotivations for believing that quantum mechanics is incomplete --$tBrief historical remarks on trace dynamics --$tTrace dynamics: the classical Lagrangian and Hamiltonian dynamics of matrix models --$tBosonic and fermionic matrices and the cyclic trace identities --$tDerivative of a trace with respect on an operator --$tLagrangian and Hamiltonian dynamics of matrix models --$tThe generalized Poisson bracket, its properties, and applications --$tTrace dynamics contrasted with unitary Heisenberg picture dynamics --$tAdditional generic conserved quantities --$tThe trace "fermion number" N --$tThe conserved operator C --$tConserved quantities for continuum spacetime theories --$tAn illustrative example: a Dirac fermion coupled to a scalar Klein-Gordon field --$tSymmetries of conserved quantities under p[subscript F left and right arrow] q[subscript F] --$tTrace dynamics models with global supersymmetry --$tThe Wess-Zumino model --$tThe supersymmetric Yang-Mills model --$tThe matrix model for M theory --$tSuperspace considerations and remarks --$tStatistical mechanics of matrix models --$tThe Liouville theorem --$tThe canonical ensemble --$tThe microcanonical ensemble --$tGauge fixing in the partition function --$tReduction of the Hilbert space modulo i[subscript eff] --$tGlobal unitary fixing --$tThe emergence of quantum field dynamics --$tThe general Ward identity --$tVariation of the source terms --$tApproximations/assumptions leading to the emergence of quantum theory. 330 $aQuantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutation/anticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochastic modifications to Schro?dinger dynamics. 606 $aQuantum theory 606 $aPhysics 615 0$aQuantum theory. 615 0$aPhysics. 676 $a530.12 700 $aAdler$b Stephen L$044183 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910828066903321 996 $aQuantum theory as an emergent phenomenon$9711323 997 $aUNINA