Relational information framework, causality, unification of quantum interpretations and return to realism through non-ergodicity

Author:

Shor Oded1,Benninger Felix2,Khrennikov Andrei3

Affiliation:

1. Tel Aviv University

2. Rabin Medical Centre

3. Linnaeus University

Abstract

Abstract In the framework of relational information, we explore analogs of physical theories and their properties. Specifically, we investigate the causal characteristics of relational information, examining how initial knowledge impacts future relational understanding of the universe/system. To achieve this, we establish a parameter space defining relational structures called dendrograms, exhibiting causal properties akin to those of Minkowski metric. Subsequently, we propose a statistical-dynamical model on this Minkowski-like parameter space, unifying Bohmian and Many Worlds interpretations of quantum theory in the framework of relational information. Additionally, we provide an analytical proof of the non-ergodicity of the relational information framework, revealing CHSH inequality violations as an emergent phenomenon. Our focus on relational information underscores its significance across scientific disciplines, where a single measurement or observation lacks meaning without context.

Publisher

Research Square Platform LLC

Reference48 articles.

1. Shor O, Benninger F and Khrennikov A 2021 Representation of the universe as a dendrogramic hologram endowed with relational interpretation Entropy 23

2. Shor O, Benninger F and Khrennikov A 2021 Dendrogramic representation of data: Chsh violation vs. nonergodicity Entropy 23

3. Shor O, Benninger F and Khrennikov A 2022 Towards Unification of General Relativity and Quantum Theory: Dendrogram Representation of the Event-Universe Entropy 24

4. Dendrographic Hologram Theory: Predictability of Relational Dynamics of the Event Universe and the Emergence of Time Arrow;Shor O,2022

5. A 2023 Quantization of events in the event-universe and the emergence of quantum mechanics;Shor O;Sci Rep

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