Measurement Calculus

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Authors: Brian Simpson
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Abstract

This record is part of the Octomorphic Framework, a discrete structural research program that derives physical invariants from closure properties in a finite state registry. The work presents: A finite registry-based structural model (R84) with admissible transitions and zero-defect closure rules Operational definitions of mass, time, energy, and measurement as structural quantities Explicit experimental protocols (Appendix A) enabling falsifiable tests across macroscopic and nuclear systems A constraint-based formulation independent of force laws, fields, or observer-dependent interpretation The framework does not assume continuous spacetime, particles, or fundamental forces as primitives. Instead, persistence and stability arise from topological closure in a discrete state space. This record should be read together with the accompanying supporting documents, which provide: Registry construction and minimality proofs Algebraic foundations (non-associative merge and closure mechanics) Discrete coherence geometry and curvature calculus Thermodynamic and energetic extensions Validation protocols and governance rules The present document introduces no new primitives beyond those already defined in the corpus. Its purpose is to consolidate the theoretical structure and provide experimentally testable criteria. If the proposed invariants fail empirical validation, the framework is falsified. All materials are published for transparency, reproducibility, and independent evaluation.

Fields of Study & Subjects

Relativity and Gravitational Theory Advanced Mathematical Theories and Applications Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
27 January 2026