Sub-Quantum
Theories| Sub-Quantum
Theories |
The "Origin'' of Quantum Mechanics > s.a. Determinism; logic;
physics ["visions"]; quantum
gravity and spacetime.
* Santamato's proposal:
Geodesics in Weyl gravity (two degrees of freedom) give rise to paths in the
pilot-wave view of quantum mechanics; The
amplitude and phase of the wave function (two degrees of freedom) are functions
of the connection; Similar to what happens in scale relativity.
* 't Hooft proposal: Loss of information due to dissipation in a microscopic,
classical deterministic system.
* Beyond quantum mechanics:
See Valentini's proposal of more general, "non-equilibrium" sub-quantum
systems, for which quantum mechanics emerges in a "thermal equilibrium
state".
* Phenomenology: Various
proposals predict violations of Born's rule.
@ General references: Clauser & Horne PRD(74)
[objective local theories, and experiment].
@ From classical mechanics / logic: Orlov AP(94),
qp/96;
Wetterich ht/01;
Aerts IJTP(95)qp/01;
Bokulich & Bokulich FP(05)
[Bohr's view].
@ 't Hooft proposal: 't Hooft FPL(97)qp/96, ht/01,
ht/01-in;
Blasone
et al BJP(05)qp-in,
AP(05)
[path-integral approach].
@ Valentini proposal: Valentini pr(91); > s.a. pilot-wave
interpretation.
Based on Stochastic Processes > s.a. formulations, interpretations [stochastic]; stochastic
processes; stochastic quantum mechanics.
@ General references: de la Peña & Cetto FP(75),
FP(78);
Wallstrom FPL(89);
Sanz PLA(90)
[and quantum probabilities]; Olavo PRA(00);
Torres & Figueiredo qp/02;
Smolin qp/06 [and
Nelson's stochastic formulation]; Davidson qp/06-in
[assessment]; Khrennikov IJTP(08).
@ Fluctuations:
Percival PRS(95)qp [spacetime
fluctuations]; Puthoff PRD(87)
[H ground state as equilibrium between acceleration radiation and vacuum fluctuations];
Grössing qp/05-in
[classical mechanics + coarse-grained time and zero-point fluctuations], PLA(08)-a0711, a0812 [non-equilibrium];
de la Peña et al FP(09) [ergodic systems embedded in the zero-point
radiation field].
@ Models: Davidson JMP(78), LMP(79), LMP(79)qp/01,
JMP(79)qp/01 [algebra
of operators]; Bordley PLA(95);
Yeung qp/99;
Kaniadakis PhyA(02)qp/01;
Hall & Reginatto JPA(02)
[uncertainty principle]; Ord & Mann qp/02, qp/02 [entwined
pair paths]; Adler ht/02;
Helland qp/03, qp/04-in, qp/05-in;
Månsson qp/05 [as
spacetime statistical mechanics]; Wiesniak et al PRB(08)qp/05 [entanglement
from third law of thermodynamics]; Khrennikov qp/05, ht/06,
PLA(06),
RPMP(07),
FP(09);
de la Peña et al a0712 [from
oscillator vacuum energy].
Based on Field Theory or Geometry / Gravitation
@ From field theory / hep: Jones MPLA(95);
Piron HPA(96)mp/02 [field
theory
and Noether's theorem]; Faraggi & Matone PLB(99);
Krasnoholovets IJP(01)qp/99,
S&S(01)qp, qp/01-in;
Svetlichny FP(00)qp/99;
't
Hooft IJTP(03)
[field theory with large gauge group]; > s.a. modified
quantum mechanics [pre-quantum mechanics].
@ From geometry / gravity: Santamato PRD(84)
[Weyl geometry]; Hadley qp/96-in,
IJTP(99)gq [general
relativity];
Spaans gq/99 [spacetime
topology]; Kamalov JRLR(01)qp/07 [background
of random gravitational fields]; Hadley AIP(07)gq
[non-time-orientable manifolds]; Exirifard a0811 [quantum
mechanics as emergent
in flat spacetime].
@ From higher dimensions: Towe mp/05 [5D
Kaluza-Klein geometry].
@ Quantum mechanics as emergent: Elze PLA(03)gq,
in(06)gq/03, gq/03-in, PhyA(04)gq/03;
Adler 04; 't Hooft AIP(07)-a0707;
Elze IJQI(09)-a0806-in.
Other Proposals > s.a. quantum-classical
mechanics relationship; schrödinger
equation [derivations].
@ Chaos, complexity: Kirilyuk AFLB(96)cd/95,
AFLB(96)qp/95 +
4ff; De Martino et al qp/97-wd;
Hansson qp/00;
McHarris qp/06.
@ From real theory: Finkelstein & Galiautdinov ht/00-in.
@ From measure theory / probability / information: Landsberg FP(88);
Youssef MPLA(91);
Sorkin MPLA(94);
Caticha PRA(98)qp;
Chapline qp/99;
Fuchs qp/02;
Pitowsky qp/05-in;
't Hooft qp/06 [equivalence
classes of data]; Goyal qp/07,
qp/07;
Rau
a0706 [consistent
reasoning with finite evidence]; Goyal a0805,
PRA(08)-a0805,
a0805 [from information
geometry]; D'Ariano a0807-in;
Klein
a0810; Wetterich
a0811, a0906;
Caticha a0907-in [from entropic dynamics]; > s.a. information.
@ Ur-objects: Lyre IJTP(95)qp/96; Kober
a0905 [and field theory, general relativity].
@ Other types: Cetto & de la Peña-Auerbach FPL(91)
[vacuum]; Granik FP(97);
Wheeler MPLA(97)ht;
Garavaglia & Kauffmann
IJTP(02)ht/99-in
[algebraic]; Ono qp/99 [?];
Nicolescu qp/00-in
["levels of reality"];
Moret-Bailly S&S(01)qp ["phenomenological"];
Qi qp/02-in, qp/02/FPL
[discontinuous
motion]; Bohr et al FP(04)
[uncaused clicks]; Torrome JMP(06)
[Finsler
version of 't Hooft proposal]; Brenig qp/06/PRL
[as a relativity theory], JPA(07)gq/06 [from
invariance of uncertainty]; Palmer PRS-a0812 ["invariant
set hypothesis"]; Blasone et al a0901-in;
Caravaglios IJMPA-a0907.
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oct 2009