Causality |

**In General** > s.a. causality in quantum theory [including
information causality and indefinite causal structures]; causality violation;
Determinism; locality.

* __Idea__: Explanations
are given in terms of efficient/physical cause, as opposed to final cause
(teleology); Often associated with predictability; The dominant
paradigm is the "machine", a deterministically predictive
one, despite setbacks from thermodynamics, special relativity, and quantum
mechanics (Prigogine); Should be modified, according to him, to allow for
self-organization and creation of order in non-linear
dissipative systems and non-equilibrium thermodynamics.

* __Rem__: Causality implies conservation of identity,
a far from simple notion; It imposes strong demands on the universalizing power of theories concerned,
often met by the introduction of a metalevel which encompasses the notions of 'system' and 'lawful behaviour';
In classical mechanics, the division between universal and particular leaves its traces in the separate
treatment of kinematics and dynamics; > s.a. Dynamics [synthesis
between kinematics and dynamics].

* __History__: Francis Bacon
considered causality as a mechanical relationship, as opposed to an abstract one.

@ __General references__: Fermi RMP(32);
Margenau PhSc(34)apr;
Bohm 57; Svechnikov 71;
Jones AJP(96)mar [RL];
Hunter et al ed-98;
Dowe & Noordhof 04;
Hájíček phy/06 [and liberty];
Ross & Spurrett BJPS(07) [notions of cause and Russell];
Butterfield BJPS-a0708 [stochastic Einstein locality];
Janzing a0708
[asymmetry between cause and effect, Occam's razor, and thermodynamics];
Hájíček GRG(09)-a0803 [and freedom of choice];
Pearl 09;
Coecke & Lal a1010-wd [time asymmetry, quantum information processing];
Ellis a1212-FQXi [top-down causation];
Coecke et al a1711
[the time-reverse of any causal theory is eternal noise].

@ __Causation__: Ma FdP(00)qp/99-proc;
Dowe PhSc(04)dec [conserved quantity theory];
Corry PhSc(06)jul
[revision avoiding Bertrand Russell's arguments];
Kistler 06.

@ __Other conceptual, philosophical__:
Mehlberg IJTP(69) [vs determinism];
Salmon PhSc(94)jun,
PhSc(97)sep;
Eckhardt SHPMP(06) [and irreversibility];
Cat PhSc(06)jan [fuzzy];
Smith BJPS(07)
[relationship between causal dependence and causal laws];
Frisch BJPS(09) [role of causality];
Norton BJPS(09),
reply Frisch BJPS(09);
Verelst a1203
[analysis, application to theories of Newton and Leibniz];
Rédei & San Pedro SHPMP(12)-a1204 [inequivalent causality principles];
Vidunas Axiom(18)-a1707 [delegated causality in complex systems];
> s.a. Explanation; paradigms in physics.

> __Four causes__:
see Efficient (Moving) Cause; Final Cause;
Formal Cause; Material
Cause; Marc Cohen's page.

> __Online resources__:
see Wikipedia page.

**In Classical Theories** > s.a. causal structures;
causality conditions; dispersion [Kramers-Kronig
relations]; geometry; spacetime subsets.

* __Classical field theory__:
Expressed by the support of Green functions or the Kramers-Kronig dispersion
relations, or *v*_{f}.

* __General relativity__:
For matter propagation, built in by the requirement that spacetime satisfy
a causality condition.

@ __General references__: de Souza ht/97,
BJP(02)ht/00,
Bergqvist & Senovilla CQG(99)gq [field theory];
Patricot ht/04 [and symmetries];
Triacca PLA(07) [Granger causality for stochastic processes];
Yuffa & Scales EJP(12) [electrodynamics, and linear response];
Ajaib a1302
[physical vs numerical causality, and the Courant-Friedrichs-Lewy condition];
Baumeler & Wolf NJP(16)-a1507 [classical processes without causal order];
> s.a. field theory.

@ __k-essence__: Bruneton PRD(07) [and MOND and other modified theories];
Babichev et al JHEP(08)-a0708.

@ __In relativity and gravity__: Jacobson in(91) [general relativity];
Rohrlich AJP(02)apr [and electromagnetism];
Bertolami & Lobo NQ-a0902;
Kochiras SHPSA(09) [Newton's causal and substance counting problems].

@ __And dispersion relations__:
Wigner ed-64;
Nussenzveig 71;
Fearn & Gibb qp/03.

@ __Wave propagation__:
Bonilla & Senovilla PRL(97) [gravity in vacuum];
Mitchell & Chiao AJP(98)jan [*v*_{g} < 0];
Smolyaninov JO(13)-a1210 [metamaterial model of causality];
> s.a. electromagnetism.

> __Related topics__: see gauge choice
[causality and gauge in electromagnetism]; gravitating matter [and the speed of sound].

**Related Topics** > s.a. Retrocausation;
tachyons; time; velocity.

* __Principle
of common cause__: The idea that simultaneous correlated events must have prior common causes,
first made precise by Hans Reichenbach in 1956; It can be used to infer the existence of unobserved
and unobservable events, and to infer causal relations from statistical relations; It does not
appear to be universally valid, in particular its validity is questionable in quantum mechanics,
nor is there agreement as to the circumstances in which it is valid; > s.a.
Stanford Encyclopedia of Philosophy page.

* __ Emergent causality__: In one proposal,
information is seen as a more fundamental concept than the laws of physics, which leads to
a different understanding of spacetime where causality emerges from correlations between
random variables representing physical quantities.

* __Other related concepts__: Arguments
by design (> see cosmology).

@ __Principle of common cause__: Reichenbach 56;
Henson SHPMP(05)qp/04,
reply to comment SHPMP(13) [quantum mechanics];
Mazzola FP(12);
Hofer-Szabó et al 13 [r CP(14)#3];
Cavalcanti & Lal JPA(14)-a1311 [modifications in light of Bell's theorem];
Mazzola & Evans FP(17)-a1703 [existence of Reichenbachian common cause systems].

@ __Emergent causality__: Baumeler & Wolf ISIT(14)-a1312,
a1602
[intrinsic definition of randomness, and complexity];
Rossi & Souza a1901 [in quantum mechanics].

@ __Causality vs correlations__:
news pt(14)nov [information flow, and application].

@ __Probabilistic causality__:
Price BJPS(91);
Twardy & Korb PhSc(04)jul;
Dzhafarov & Kujala JMPsy-a1110;
Zaopo a1209 [causal relations as observer-dependent];
Zhang BJPS(13)
[connection between causality and probability].

@ __Other generalizations__: Choudhury & Mondal TMP(13) [almost causality, reflecting and distinguishing spacetimes];
Minguzzi RVMP(18)-a1709 [causality with non-round cones];
> s.a. causality conditions.

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send feedback and suggestions to bombelli at olemiss.edu – modified 27 jan 2019