Inversion-Closure Model (ICM): Symmetric Closure of Binary Differences

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Authors: Yuragi Mito
Cited by: 0

Abstract

This document specifies the Inversion-Closure Model (ICM), a minimal structural model of binary differences under successive inversion operations. The model defines a regime in which differences, when composed across multiple inversion axes, do not diverge but terminate in a closed state. As composition depth increases, higher-order differences lose axial information and collapse toward closure. At maximal inversion, all axes are inverted simultaneously, and the system exhibits structural termination of distinguishable difference. A concrete realization of this closure behavior is demonstrated by the Mirror-Inversion Cycle (MIC), where 64 six-bit binary states form a closed circular ordering with adjacent differences constrained to 1, 2, or 4. No symbolic, semantic, physical, or metaphysical interpretation is assumed.

Fields of Study & Subjects

Embedded Systems Design Techniques Quantum-Dot Cellular Automata Low-power high-performance VLSI design

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
9 January 2026
Language
EN
Document type
Preprint