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