What question did this study set out to answer?

This research aims to present a theoretical framework that bridges coherence and readability in physical and ontological contexts.

January 18, 2026Open Access

Theory of Inversive Symmetry: Coherence-Readability Duality in Ontology and Physics

Key Points

This research aims to present a theoretical framework that bridges coherence and readability in physical and ontological contexts.
Introduced the Theory of Inversive Symmetry as a heuristic ontological framework.
Developed a minimal lattice toy model to illustrate the concepts.
Provided Python code for replicating results, including structure-factor maps and Bragg-peak counts.
Demonstrated 16 Bragg-peak counts at σ=0.40 and 14 at σ=0.05 in the toy model.
Provided reproducible outputs that simplify the understanding of the operational mechanism.

Abstract

This preprint introduces the Theory of Inversive Symmetry, a heuristic ontological framework centered on a coherence–readability duality, and an operational “Restrictive Accumulation” mechanism linking record accumulation to predictability and operational irreversibility. It includes a minimal lattice toy model and Python code reproducing structure-factor maps and Bragg-peak counts (seed=42; 16 peaks at σ=0.40; 14 peaks at σ=0.05). The model is a constructive illustration rather than a faithful representation of a specific physical system. Key items: Toy model parameters: N=30, L=41, steps=1000, β=1.2, seed=42. Reproducible outputs: structure-factor maps + Bragg-peak counts (16 at σ=0.40; 14 at σ=0.05). Code included (Python) for direct replication.

Theory of Inversive Symmetry: Coherence-Readability Duality in Ontology and Physics

Key Points

Abstract

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