On Quantum Relations

doi:10.3390/e28050522

Return

On Quantum Relations

2026-05-05

PRE

Dubois, Francois *

Zeno Toffano

DOI：10.3390/e28050522

Original

Original request for help

Save

Abstract

En 中文

This contribution proposes a conceptual framework for quantum relations understood as operator-based, scale-dependent semantic structures. It explores the "fractaquantum" hypothesis, emphasizing that nature exhibits quantum properties at all scales, from subatomic particles to social structures. Using Pauli operators, we propose a semantic theory of quantum relations based on the "semiotic square" and on eigenlogic. The "two one-half spin" quantum composition defines the exchange operator at the basis of fundamental quantum relations. The approach is applied to macroscopic phenomena such as "social lasers" and the rhythmic "breathing" of entanglement, suggesting that individuality and social coherence are governed by scale-invariant quantum principles. This project aims to unify several quantum-like approaches under a common relational paradigm and highlights the role of fractal scaling, contextuality, non-commutativity, exchange, indistinguishability and entanglement in the emergence of semantic relations across physical, cognitive, social and artistic domains.

Keywords:

quantum-like modeling

quantum relations

fractaquantum

eigenlogic

quantum semantics

social laser

relational ontology

03.65.-w

05.65.+b