Types of Interpretations of Quantum Theory |

**Realist Interpretations** > s.a. interpretations
/ hidden-variable theories; pilot-wave interpretation.

* __Transactional__: A realistic,
non-local interpretation proposed by Cramer in 1986, which posits retrocausal
influences in quantum processes as an attempt to alleviate some of the interpretational
difficulties of the Copenhagen interpretation; Its key feature is that the process of
absorption of a quantum state is just as important as the process of emission of a
quantum state, which is consistent with relativistic quantum theory but it comes with
the feature that the absorption (or destruction) process involves quantum states with
negative energy; For this reason, TI has generally been neglected by the mainstream
physics community; Maudlin (2002) has objected to any retrocausal model of quantum
mechanics; In TI, the collapse of the wave function is a transaction, which involves
an "offer" from the emitter and a "confirmation" from the absorber;
In possibilist TI, it is the transactional processes that creates spacetime events.

@ __General references__: Chen a1810 [rev].

@ __Transactional__: Cramer RMP(86),
IJTP(88);
Garrett FP(90);
Chiatti FP(95);
Kastner Syn(06)qp/04 [avoiding the inconsistency charge];
Marchildon PE-qp/06;
Kastner SHPMP(08) [counterfactuals and weak values];
Kastner SHPMP(10)-a0906 [quantum liar experiment];
Kastner & Cramer a1001 [and Everett interpretation];
Evans a1011 [and Maudlin's critique of retrocausation];
Kastner 12 [r CP(13)];
Kastner FP(12)-a1204 [relativistic];
Boisvert & Marchildon FP(13)-a1207 [absorbers];
Kastner SHPMP-a1403 [refutation of Maudlin's challenge];
Cramer a1503-ch [and quantum non-locality];
Kastner 15,
npr(15)sep;
Cramer 16;
Kastner PhilC-a1608 [overview];
Kastner a1610-in,
a1709 [relativistic];
Kastner & Cramer a1711 [and the absorption process];
Marchildon a1712 [relativistic, critique];
Kastner a1712 [reply to Marchildon];
> s.a. Hardy's Experiment; measurement
and time in quantum mechanics.

@ __Pondicherry__: Mohrhoff AJP(00)aug-qp/99;
Marchildon FP(04)qp/03;
Mohrhoff FP(04)qp/03,
Pra(05)qp/04;
Shafiee et al SHPMP(06) [critique],
reply Mohrhoff qp/06.

@ __Hydrodynamical__: Tsekov AUS(12)-a0904 [Madelung quantum hydrodynamics, vs pilot-wave theory];
Karimäki a1206 [fluid of virtual particles];
Tsekov et al a1804 [and turbulence];
> s.a. formalisms.

@ __Contextual / non-local__:
Wiener & Siegel PR(53);
Gudder JMP(70);
Vujicic et al JPA(94);
Sant'Anna qp/98.

@ __Information-based__: Palge & Konrad SHPMP(08) [Bayesian approach];
Khrennikov FP(16)-a1512 [on the Zeilinger-Brukner interpretation].

@ __Local__: Jongejan qp/00 [curved spacetime as hidden variable];
Kent in(02)qp [probabilistic];
Lan IJTP(08)qp/03,
JRLR(05)qp/03,
JRLR(07)-a0810;
Suarez FP(08) [re Leggett models];
Flores a1010
[pointlike particles and necessity of vacuum fields].

@ __Relational [no absolute state]__: Rovelli; Laudisa FPL(01)qp/00 [EPR and special relativity].

@ __Other interpretations__: Jabs BJPS(92)-a1212 [in terms of epistemological realism];
Khrennikov in(02)qp,
Fuchs qp/02,
Khrennikov qp/04,
a1210-proc [Växjö];
Hájíček & Tolar FP(09)-a0806,
APS(10)-a1008;
Schmelzer FP(11) [pure interpretations are not viable],
in-a1103 [paleoclassical interpretation];
Santos FS(14)-a1203;
Hájíček JPCS(13)-a1212;
Waegell a1604 [locally causal, deterministic interpretations];
> s.a. Beables.

**Other Interpretations** > s.a. Contextuality; quantum cosmology; quantum
information; many-worlds; multiverse cosmology.

* __Type-I__:
(*ψ*-Ontic
Theories) Quantum probabilities are determined by intrinsic properties of the world.

* __Type-II__:
(*ψ*-Epistemic
Theories) Quantum probabilities deal with relational experiences between an observer and the world.

* __Interactive__: Intermediate
between the København and hidden variables interpretations; Holistic;
Observation does not have a preferred role.

* __Stochastic__: The quantum behavior
is a consequence of an unspecified stochastic process affecting the system.

* __Montevideo interpretation__: The
quantum-to-classical transition is achieved via a phenomenon called "undecidability"
which stems from environmental decoherence, supplemented with a fundamental mechanism of
loss of coherence due to gravity;
> see also montevideointerpretation.org.

@ __General references__: Cabello et al PRA(16)-a1509 [thermodynamic cost of type-I, *ψ*-ontic theories];
Hájíček a1509-book [Realism-Completeness-Universality interpretation];
Healey FP(16)-a1601 [quantum states as informational bridges];
Prunkl & Timpson a1706 [refuting the Cabello et al claim];
Hardy a1807 [the Construction Interpretation, and quantum gravity];
Ellerman a1812 [objective indefiniteness or literal interpretation].

@ __Stochastic__: Fényes ZP(52);
Bohm & Vigier PR(54);
de la Peña-Auerbach & García-Colín JMP(68),
JMP(68);
Ghirardi et al RNC(78) [rev];
Cufaro Petroni et al LNC(81) [causality];
Nelson 85;
Smolin in(86);
Bohm & Hiley PRP(89);
Cufaro Petroni PLA(89) [and quantum interference],
PLA(91);
> s.a. fluctuations; stochastic quantization.

@ __Co-event interpretation__: Ghazi-Tabatabai & Wallden JPA(09)-a0901 [dynamics and prediction];
> s.a. measures [quantum measures].

@ __Montevideo interpretation__:
Gambini & Pullin JPCS(09)-a0905;
Gambini et al SHPMP(11)-a1002;
Gambini et al JPCS(11)-a1010;
Butterfield SHPMP(15)-a1406 [assessment];
Gambini & Pullin Ent(18)-a1502 [short review];
Gambini et al FoC(15)-a1502,
a1810 [single-world consistent interpretation].

@ __Conceptuality interpretation__: Aerts FS(09)-a1004,
IJTP(10)-a1004 [particles as conceptual entities];
Aerts et al a1711.

@ __Other__: Stapp PRD(71) [S-matrix];
Kochen in(85),
pr(88),
Peres AJP(84)jul [a state vector is just a preparation];
Lahti IJTP(90) [witnessing];
Healey 89 [interactive];
Lockwood BJPS(96) ["many minds"];
Ruebenacker qp/02-wd [Amherst];
Carter IJTP(04)ht [anthropic];
Mweene qp/04 [Landé's interpretation];
Kent FP(12)-a0708 [real world interpretation];
Jansson a0801;
Bächtold FP(08) [pragmatist approach];
Fields a1108-in [on Quantum Bayesianism];
Ishikawa a1204,
a1308 [linguistic],
a1511 [wave-function collapse];
Smolin a1205 [based on precedence and freedom];
Pradhan NQ-a1206 [psychophysical interpretation];
Mansouri et al a1305;
't Hooft a1405,
16 [cellular automaton interpretation];
Gantsevich a1609;
Burt a1805 [Peierls interpretation];
Marsh a1811 [reality in Kent's interpretation];
Unnikrishnan a1812;
Neumaier a1902 [thermal interpretation];
> s.a. Born Rule [intuitionistic interpretation];
time in quantum theory [real clocks and conditional probability].

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