Quantum-type Coherence as a Combination of Symmetry and Semantics

TL;DR

This paper explores a form of quantum-like coherence that arises from symmetry and semantics rather than physical constants, suggesting such coherence can exist independently of traditional quantum parameters.

Contribution

It introduces a novel concept of quantum-type coherence based on logical symmetries and semantics, independent of the Planck constant and Hamiltonian.

Findings

Quantum-type coherence can exist without Planck constant or Hamiltonian.

Symmetries applied to logical statements can produce quantum-like interference.

A theoretical example demonstrates non-quantum systems with quantum-like properties.

Abstract

It is shown that quantum-type coherence, leading to indeterminism and interference of probabilities, may in principle exist in the absence of the Planck constant and a Hamiltonian. Such coherence is a combined effect of a symmetry (not necessary physical) and semantics. The crucial condition is that symmetries should apply to logical statements about observables. A theoretical example of a non-quantum system with quantum-type properties is analysed.