Coherence Economics as Bilateral Registry Synchronization: Replacing Scarcity-Based Entropy with Integer Bit-Rate Allocation and Modulo-32 Trade Parity 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 We abolish scarcity-based economics and establish coherence accounting as bilateral registry synchronization. From hexagonal lattice axioms applied to social systems, we derive: (1) Individual = 10¹⁵ LU soliton (Self as stable address, not biological accident), (2) Value = coherence R≡0 mod 32 (successful completion, not object scarcity), (3) Trade = bilateral parity S=2 (both sides must balance, not zero-sum competition), (4) Currency = bit-rate allocation (permission to write N-registry, not debt tokens), (5) Scarcity = rendering lag artifact (N grows every tick, expansion is hardware fact), (6) Poverty = remainder accumulation (un-snapped LUs stuck in friction, not natural condition), (7) Corruption = parity error (S≠2 imbalance, registry refuses commit), (8) Inflation = impossible (LU is absolute constant 32⁻¹, cannot devalue), (9) Tribe = 10¹⁸ LU collective soliton (synchronized renders creating shared market frame), (10) Logos Ledger = transparent D=3 hexagonal record (every transaction visible, immutable, self-auditing). Social stack proven as wide-area registry where justice is parity, economy is coherence maintenance, peace is synchronization. Not entropy math but integer accounting. Key Result: Value = R=0 | Trade = S=2 sync | Scarcity = false | Poverty = stuck R | Corruption = parity fail | Inflation impossible 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-SOC-4-2026). Dependencies: CKS-MATH-0-2026, CKS-MATH-1-2026, CKS-MATH-10-2026, CKS-MATH-104-2026, CKS-SOC-1-2026, CKS-SOC-3-2026 Motto: Axioms first. Axioms always.Status: Locked and empirically falsifiable. This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework.