Quantum Cosmology |
In General > s.a. cosmological effects of quantum gravity;
formalism and techniques; models and phenomenology [including other theories].
* And quantum mechanics:
Quantum cosmology is becoming a new basis for quantum theory; One cannot
follow the Copenhagen interpretation of quantum mechanics, because there
are no classical observers here (measurement cannot have the same preferred
role) and there is the problem of time; One possible way out is to take
quantum mechanics seriously and include the observer (Everett, then extended
by others); In some limit the Copenhagen interpretation then follows [for a
criticism of this, @ Smolin pr(88)].
* Features: The topology
of the universe is dynamical, especially before tP;
It predicts fine tuning of the constants of nature.
> Online resources: see
DAMTP page;
Wikipedia page.
Conceptual Aspects and Interpretation
> s.a. multiverse [including measure].
* Interpretation: The main
general issue is what to make of the quantum state if all we can ever observe
is one universe; Other issues are that we –the observers– are
located inside the universe –the system–, and the problem of
time and observables.
@ Interpretation:
Tipler PRP(86),
in(86);
Drees IJTP(87);
Wada MPLA(88);
Page in(91) [density matrix];
Wald in(91) [and time];
Parentani PRD(97)gq;
Dzhunushaliev CQG(98)
[Kolmogorov's algorithmic complexity];
Rubakov gq/99-conf;
Carter IJTP(04)ht-conf [anthropic];
Longpré & Kreinovich IJTP(08) [algorithmic information theory];
Castagnino et al a1412;
Hartle & Hertog a1503-proc [first-person probabilities];
He et al PLB(15)-a1507;
Bolotin FP(16)-a1512 [constructibility];
Shestakova Univ(20)-a1809 [Copenhagen interpretation, applicability];
> s.a. decoherence above; pilot-wave interpretation;
Relational Formulation.
@ Other interpretations: Fink & Leschke FPL(00)qp;
Page AIP(99)gq/00 [many-worlds];
> s.a. minisuperspace.
@ Philosophical aspects: Smith PhSc(88)mar;
Smith & Weingard PhSc(90)dec;
Craig BJPS(92),
BJPS(93);
Smith BJPS(94).
@ Other conceptual aspects: Sorkin IJTP(00)gq-talk [and fundamental structure];
Page a0907 [state of the universe and observations].
Other References
> s.a. lqc; quantum gravity;
path-integral quantum gravity; semiclassical cosmology.
@ First investigations: DeWitt PR(67);
Wheeler in(68);
Misner PR(69),
in(70).
@ General references: Clarke PhSc(74);
Greenberger FP(83) [model theory];
Page PRD(86);
Hartle in(88);
Moss AIHP(88);
Vilenkin PRD(88);
Gibbons & Grishchuk NPB(89);
Kiefer AP(91);
Cavaglià gq/93 [and Kantowski-Sachs spacetime];
Page gq/95-ln;
Bojowald gq/03-conf;
Eakins PhD(04)gq [pure state];
Tetteh-Lartey a0709
[input from perturbative and non-perturbative approaches];
Bojowald et al a1005-MG12 [approaches, debate];
Kiefer FP(10);
Robles-Pérez a1812-in;
Peter Univ(18)-a1902 [trajectory approach];
Frion a2010-PhD [Hamiltonian approach];
Hartle a2103 [emergent classical physics].
@ I: Boslough 85;
Waldrop Sci(88)dec;
Hawking 88;
Novikov 90;
Halliwell SA(91)dec;
Bojowald SA(08)oct [bounce];
Hawking 08;
Vidotto SA-a1110 [generally covariant path integral].
@ Books: Fang & Ruffini ed-87;
Simeone 02 [path integral];
Montani et al 09;
Bojowald 11;
Calcagni 17;
Montani et al 17.
@ Reviews: Hawking in(84),
in(86),
in(87);
Hartle in(86);
Halliwell IJMPA(90) [refs],
in(91)-a0909,
in(92);
Page in(91);
Grishchuk CQG(93);
Vilenkin NYAS(93)gq,
PRD(94)gq,
gq/95-ln;
Atkatz AJP(94)jul;
Page gq/95-ln;
Hartle in(96)gq,
in(98)gq/97;
Kiefer LNP(00)gq/99 [conceptual];
Barvinsky gq/01-MG9;
Wiltshire in(96)gq/01;
Christodoulakis LNP(02)gq/01;
Halliwell gq/02-proc;
Hartle in(03)gq/02;
Page in(03)ht/06;
Esposito gq/06-MGXI;
Kiefer & Sandhöfer ch-a0804;
Calcagni et al ed-13;
Bojowald RPP(15)-a1501 [emphasizing the importance of inhomogeneity].
@ Time: Bojowald & Halnon PRD(18)-a1612;
Rotondo & Nambu a1901 [matter clock time];
Höhn Univ(19)-a1811;
Cherkas & Kalashnikov a2005 [the problem is illusive].
@ Lorentzian: Cline PLB(89);
Farhi PLB(89);
Duncan & Jensen NPB(89);
Suen & Young PRD(89);
Brown & Martinez PRD(90);
Pešić NCB(93) [re Euclideanizing];
Altshuler & Barvinsky SPU(96);
Feldbrugge et al PRD(17)-a1703 [argument in favor];
Díaz Dorronsoro et al PRD(17)-a1705 [no-boundary wave function].
@ Effective theory: Bojowald JPCS(12)-a1206,
CQG(12)-a1209;
Li et al PRD(18)-a1801 [effective Hamiltonian and dynamics from lqg];
Bojowald Univ(19)-a1906 [averaging volume for minisuperspace models, infrared renormalization].
@ Related topics:
Hartle in(91)gq/05;
Szydłowski & Golbiak G&C(10)ap/06 [Fomin's quantum cosmogenesis];
Krauss et al IJMPD(09)-a0810 [and late-time vacuum decay];
Czachor & Posiewnik IJTP(16)-a1312 [expansion and wavepacket spreading].
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send feedback and suggestions to bombelli at olemiss.edu – modified 21 mar 2021