Arrow of Time in Various Physical Theories| Arrow of Time in Various Physical Theories |
Thermodynamic Arrow of Time > s.a. entropy [production];
generalized thermodynamics.
@ General references:
Schulman & Shtokhamer IJTP(77);
Hutchison BJPS(93);
Savitt BJPS(94);
Zak IJTP(96);
Busch CMC(00)mp/99;
Zeh FPL(99)phy;
Brown & Uffink SHPMP(01) [source];
Callender in(01);
Muratov JPA(01) [classical statistical mechanics];
Castagnino & Laciana CQG(02);
Yukalov PLA(03) [quasi-isolated systems];
Winsberg PhSc(04)dec [Albert's proposal vs Reichenbach];
Hagar PhSc(05)jul;
Maroney SHPMP(05),
Gallavotti Chaos(06) [irreversibility time scale];
Ladyman et al SHPMP(07) [logical vs thermodynamical arrow of time];
Lucia PRS(08) [and ergodicity];
Swendsen AJP(08)jul [model, qualitative understanding];
Drory SHPMP(08) [no paradox];
Polonyi a1206-in [environment-induced];
Muriel PLA(13) [evolution of the single-particle distribution function];
Drossel SHPMP(17)-a1509 [irreversibility is fundamental];
Korzekwa PRA(17)-a1609 [formal structure, classical and quantum theories];
Kalogeropoulos PhyA-a1710 [from symplectic non-squeezing];
Klimenko PS(19)-a1903,
a2001.
@ Examples, related topics: Hutchison BJPS(95) [friction implies irreversibility in practice],
comment Callender BJPS(95);
Spohn LNP(01) [hard spheres and Boltzmann equation];
Tian JHEP(05)gq [thermal time, in de Sitter space];
Partovi PRE(08)-a0708 [violation in high-correlation environment];
Schulman JPCS(09)-a0811 [role of cosmology];
Trushechkin a1102 [and "functional mechanics"];
Jenkins AJP(14)-a1301 [in an ideal fluid].
In Quantum Theory
> s.a. time in quantum theory; modified quantum theories [time symmetric].
* Idea: The standard
formalism rules out the existence of an arrow of time because it is
based on conserved probabilities; The Brussels school proposed formalism
based on the presence of resonances and the use of rigged Hilbert space
and time-evolution semigroups; Or one can try quantum field theory.
* And observation: An experiment
on entropy production in a microscopic nuclear-spin system indicates role of
quantum correlations.
@ General references: Fargue & Fer AFLB(76);
Toyozawa JPSJ(89);
Lenz & Życzkowski JPA(92);
Page PRL(93)gq;
Bohm & Kielanowski APPB(96)qp/95 [different types];
Kadomtsev SPU(95);
Fain 00;
D'Ariano et al PLA(00)qp [and phase squeezing];
Bishop IJTP-qp/02-conf;
volume LNP(03)#622;
de la Madrid LNP(03)qp [and boundary conditions];
Bohm IJTP(03) [resonances and decay];
Bishop IJTP(05)qp-conf [and mental systems];
Castagnino et al FP(06);
Pérez-Madrid PhyA(07);
Holster NJP(03);
Strauss et al a0802,
comment Hall a0802 [arrow-of-time operator];
Bohm et al JPA(08)-a0803-conf;
Maccone PRL(09)-a0802,
comments Jennings & Rudolph PRL(10)-a0909,
Nikolić a0912,
reply a0912 [resolution based on information];
David PRL(11)-a1103 [role of reversibility in the quantum formalism];
Kawamoto JSM(11)-a1106 [analysis of microscopic reversibility];
Chiarelli JPCS(14)-a1307 [relation between micro and macro arrows of time];
Brunelli & Paternostro a1610 [and correlations];
Chen a1712;
Mancino et al PRL(18)-a1801 [bounds on irreversibility];
Batalhão et al ch(18)-a1806;
Di Biagio et al a2010 [not intrinsic].
@ Open systems: Hatano & Ordonez Ent(19)-a1903;
Vu & Hasegawa a2005
[geometrical bounds on the irreversibility].
@ Models: Polonyi PRD(08)-a0801 [semiclassical Coulomb field and decoherence];
Oerter AJP(11)mar [simple model, and entropy];
Wójcik a1201 [simple model];
Fernández de Córdoba et al a1304 [gravitationally-induced irreversibility];
de la Torre a1411 [position-momentum correlation];
Arias-González a1511 [from microscopic reversibility and non-Markovianity];
't Hooft a1804-in [cellular automaton interpretation];
Santos et al PRA(18)-a1806 [spin systems undergoing Lindblad dynamics];
Thompson et al PRX(18) [causally asymmetric models];
Chen a1902-in;
Geiger & Kedem a1906,
a2103;
> s.a. approaches to quantum theory [sub-quantum].
@ And quantum measurement:
Aharonov et al PR(64);
Zeh FP(79)qp/03;
Baaquie IJMPA(94) [decoherence and Friedrichs model];
Schulman 97;
Bohm et al IJTP(99);
Srivastava et al IJMPB(99)qp/98 [information and entropy];
Halabi NCB(10)-a0908;
Dressel et al PRL(17)-a1610 [continuous measurement];
Zurek PTRS(18)-a1808;
Harrington et al PRL(19)-a1811 [statistical arrow of time].
@ Rigged Hilbert space: Schulte et al qp/95;
Bishop IJTP(04),
IJTP(05) [Bohm vs Brussels-Austin],
qp/05;
Bohm et al Sigma(11)-a1109 [rigged Hilbert spaces of Hardy functions];
Marcucci & Conti PRA(16)-a1607;
> s.a. hilbert space.
@ Brussels school:
Prigogine & Petrosky PhyA(87);
Hasegawa et al FP(91);
Antoniou & Prigogine PhyA(93);
Bohm IJTP(97)ht [K decay];
Ordóñez PhyA(98)mp/00;
Bostroem qp/00;
Castagnino & Gunzig IJTP(99)qp/00 [axiomatic],
qp/00 [comparison];
Bishop SHPMP(04) [overview];
Bohm et al qp/07 [framework].
@ Brussels school, critiques: Batterman PhSc(91)jun;
Verstraeten PhSc(91)dec;
Karakostas PhSc(96)sep.
@ Specific systems: Bohm et al qp/07 [with single ion];
Batalhão et al PRL(15)-a1502
+ Auffèves Phy(15)nov
+ news pw(15)nov
+ PhysOrg(15)dec [correlations in a nuclear spin system];
McGinley & Cooper nPhys(20)-a2003 [fragility of topological phases];
> s.a. quantum effects [reversal of evolution].
> Related topics: see hilbert
space; measurement in quantum mechanics; locality;
quantum statistical mechanics; quantum systems;
resonance [Gamow states].
In Cosmology
@ General references: Page IJTP(84) [inflation];
Hawking PRD(85);
Hu in(94)gq/93 [fluctuation-dissipation relation];
Kiefer & Zeh PRD(95)gq/94 [reversal in recollapse];
Rothman & Anninos PRD(97) [clumping and phase space volume];
Dastidar MPLA(99)qp-conf [and cmb];
Allahverdyan & Gurzadyan JPA(02) [relation with thermodynamics, and cmb];
Albrecht ap/02-fs [inflation];
Castagnino et al CQG(03)qp/02,
FP(03) [and other arrows];
Carroll & Chen ht/04 [spontaneous inflation];
Wald SHPMP(06)gq/05-conf,
Earman SHPMP(06) [and initial conditions];
Carroll SA(08)may;
Mersini-Houghton & Vaas ed-12;
Hartle in(14)-a1301 [quantum, thermodynamical and possible local arrows];
Gurzadyan et al a1302-conf;
Ellis a1302 [and the emergent block universe];
Rovelli a1505
[from the coupling between us and the rest of the universe];
Sahni et al CQG(15)-a1506 [in dissipationless cosmology];
Pérez et al a1507/JCAP [and cosmological black holes];
Barbour et al a1507
+ comment Zeh a1601 [entaxy and entropy];
Allahverdyan & Gurzadyan PRE(16)-a1506 [and dark energy];
Lazarovici & Reichert a1809 [without a Past Hypothesis];
Albrecht et al a2105
[einselection and the emergence of classical from quantum].
@ And the origin of the universe: Vilenkin PRD(13)-a1305;
> Online resources: see Sean Carroll's 2010
talk [and the Big Bang].
@ In quantum cosmology: Hawking et al PRD(93)gq [from boundary conditions];
Gell-Mann & Hartle gq/93-in;
Kiefer BJP(05)gq-proc,
a0910-ch [the origin is in quantum cosmology];
Bojowald a0910-ch [lqc];
Hartle & Hertog PRD(12)-a1106 [in the no-boundary quantum state];
Hartle a2002.
@ In the multiverse:
Ćirković FP(03) [Boltzmann-Schütz argument];
Mersini-Houghton a0909-conf;
Robles-Pérez a1203 [and entanglement];
Aharonov et al FrPh(18)-a1608 [quilted multiverse].
In Other Theories
> s.a. causality and causality
violations; time in quantum gravity.
@ Radiation: Frisch BJPS(00) [dissolution of puzzle];
Price SHPMP(06);
Frisch SHPMP(06);
Boozer EJP(07) [and retarded potentials].
@ In quantum field theory: Vitiello ht/01-conf;
Buchholz CMP(03);
Atkinson SHPMP(06) [QED];
Morgan a0810-FQXi.
@ And string theory: McInnes NPB(07);
Bousso PRD(12)-a1112 [and the landscape, arrow of time as constraint on the vacuum structure].
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