Relativity in binary systems as root of quantum mechanics and space-time

TL;DR

This paper proposes that space-time and quantum mechanics emerge from the relativity of binary systems, using a spin network framework based on SO(3,2) symmetry, linking information coding to fundamental physics.

Contribution

It introduces a novel approach where space-time and quantum particles arise from the relativity principles applied to binary element systems, using a spin network model.

Findings

Derives a quantum description from binary elements using SO(3,2) symmetry.

Shows that macroscopic sub-networks approximate flat space-time.

Connects the relativity of binary systems to the emergence of Poincare symmetry.

Abstract

Inspired by Bohr's dictum that "physical phenomena are observed relative to different experimental setups", this article investigates the notion of relativity in Bohr's sense, starting from a set of binary elements. The most general form of information coding within such sets requires a description by four-component states. By using Bohr's dictum as a guideline a quantum mechanical description of the set is obtained in the form of a SO(3,2) based spin network. For large (macroscopic) sub-networks a flat-space approximation of SO(3,2) leads to a Poincare symmetrical Hilbert space. The concept of a position of four-component spinors relative to macroscopic sub-networks then delivers the description of 'free' massive spin-1/2 particles with a Poincare symmetrical Hilbert space. Hence Minkowskian space-time, equipped with spin-1/2 particles, is obtained as an inherent property of a system of binary elements when individual elements are described relative to macroscopic sub-systems.