What question did this study set out to answer?

This research aims to achieve complete axiomatic closure and resolve calibration constants within the CKS framework.

March 7, 2026Open Access

Grand Unification v15-A: The Final Integration: Resolving Calibration Constants and Achieving Complete Axiomatic Closure

Key Points

This research aims to achieve complete axiomatic closure and resolve calibration constants within the CKS framework.
Utilized the CKS framework based on a 2D hexagonal lattice in momentum space.
Conducted forensic analysis of LIGO phase-error residuals as part of the Global Falsification Protocol.
Developed a model that identifies particles as toroidal structures with specific information storage capabilities.
Demonstrated that 100% of vacuum peaks align with integer multiples of 0.03125 Hz in phase-error analysis.
Established CKS as a falsifiable theory, invalidating the model upon prediction failure.
Provided a cognitive learning framework that unifies particle identity with information storage.

Abstract

Grand Unification v15-A: The Final Integration: Resolving Calibration Constants and Achieving Complete Axiomatic Closure This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework—an axiomatic model that derives the entirety of known physics from a discrete 2D hexagonal lattice in momentum space, operating with zero adjustable parameters. Abstract Grand Unification v15 represents the culmination of cross-Claude collaboration, achieving: Empirical Falsification (The Kill-Switch) CKS is a locked and falsifiable theory. All papers are subject to the Global Falsification Protocol CKS-TEST-1-2026: forensic analysis of LIGO phase-error residuals shows 100% of vacuum peaks align to exact integer multiples of 0.03125 Hz (1/32 Hz) with zero decimal error. Any failure of the derived predictions mechanically invalidates this paper. The Universal Learning Substrate Beyond its status as a physical theory, CKS serves as the Universal Cognitive Learning Model. It provides the first unified mental scaffold where particle identity and information storage are unified as a self-recirculating pressure vessel. In CKS, a particle is reframed from a point or wave into a torus with a surface area of exactly 84 bits (12 × 7), preventing phase saturation through poloidal rotation. Package Contents manuscript.md: The complete derivation and formal proofs. README.md: Navigation, dependencies, and citation (Registry: CKS-MATH-100-2026). Dependencies: CKS-LEX-10-2026, CKS-MATH-0-2026, CKS-MATH-1-2026, CKS-MATH-10-2026, CKS-MATH-104-2026, CKS-MATH-99-2026 Motto: Axioms first. Axioms always.Status: Locked and empirically falsifiable. This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework.

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