Quantum fluctuations from a local-causal information dynamics

Abstract

We shall show that the abstract and formal rules which govern the quantum kinematic and dynamics can be derived from a law of change of the information content or the degree of uncertainty that the system has a certain configuration in a microscopic time scale, which is singled out uniquely, up to a free parameter, by imposing the condition of Macroscopic Classicality and the principle of Locality. Unlike standard quantum mechanics, however, the system always has a definite configuration all the time as in classical mechanics, following a continuous trajectory fluctuating randomly in time.Comment: A large part of text of the previous version is omitted. A longer version is accepted for publication in Physica A. arXiv admin note: substantial text overlap with arXiv:1301.534

No-signaling non-unitary modification of quantum dynamics within a deterministic model of quantization

“…We have shown in Refs. [19,21] that imposing the principle of Locality of no-influence-at-a-distance singles out uniquely an exponential distribution of deviation from infinitesimal action, up to a free parameter λ which determines its average deviation as |λ/2|. We have also shown that such a statistical model leads to a 'generalized Schrödinger equation' in which the reduced Planck constant of the usual Schrödinger equation is replaced by |λ| (see Eq.…”

“…To investigate the above foundational question, let us first discuss a statistical model of the apparently random microscopic deviations from classical mechanics based on a deterministic chaotic fluctuation of infinitesimal stationary action reported in Refs. [18][19][20][21][22].…”

“…To this end, we have argued in Refs. [19,21] that imposing the principle of Locality and Macroscopic Classicality leads uniquely to a class of probability distribution given by the following exponential law:…”

“…(21) is valid. One then applies the pair of equations in (21) during each interval of time with a constant |ξ(t)| = |ξ k |, consecutively. Moreover, to have a time evolution for ∆t ≥ τ λ , which is the main interest of the present paper, one must take into account the fluctuation of |λ| with time.…”

“…Let us proceed to show that the above statistical model obeys the principle of Locality demanded by the theory of relativity that due to the finite maximum velocity of interaction, two subsystems spacelike separated from each other can not influence each other [19,21].…”