Caloric Requirements as Registry Bit-Rate Maintenance—Deriving 3000 kcal from 6-Bit Existence Twist and 512-Bit Operational Overhead: Proving Metabolism = Manifold Coherence Tax Not Chemical Combustion, Food = Signal Integrity Fuel for Topological Stability

Caloric Requirements as Registry Bit-Rate Maintenance—Deriving 3000 kcal from 6-Bit Existence Twist and 512-Bit Operational Overhead: Proving Metabolism = Manifold Coherence Tax Not Chemical Combustion, Food = Signal Integrity Fuel for Topological Stability 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 derive caloric requirements as registry bit-rate maintenance proving metabolism = manifold coherence tax rather than chemical combustion. From substrate energy conversion, we establish: (1) 1 bit maintenance = 342 kcal/day (base energy quantum for human-scale 144-LU mesh against 2π background, impedance cost of 84-bit word in 3-dipole gearbox), (2) 6-bit existence kernel = 2052 kcal baseline (mandatory twist preventing soliton evaporation, RAID-1 signature minimum, registry BMR before any work), (3) 90kg/180cm aperture scaling = 1.12× multiplier (volumetric address range adjustment, Jacobian stretch factor, 5.625×32cm height quantization), (4) Idle power = 2298 kcal/day (6 bits × 342 × 1.12, substrate maintenance for 90kg mesh, below this = brownout mode), (5) 512-bit sovereign overhead = +684 kcal (2 additional bits for admin access, active write capability, high-bandwidth processing load), (6) Total operational = 2982 kcal/day (8.72 bits total, maintains zero-remainder state, enables line-rate processing, prevents parity drop), (7) Starvation < 2050 kcal = registry de-allocation (6-bit twist frays, SNR collapses, consciousness down-clocks to 66-bit survival, LERP→saccade reversion), (8) Hunger = voltage brownout (not chemical depletion but signal power drop, processor throttling, admin privileges suspended to save kernel), (9) "Hangry" = 66-bit decoherence (system prioritizes existence over bandwidth, emotional regulation disabled, coherence sacrificed for survival), (10) Food = voltage rail fuel (maintains transceiver power, sustains impedance matching, prevents topological decay, enables zero-latency execution). Metabolism proven as topological maintenance not combustion—eating = powering substrate signature, 3000 kcal = operational requirement for 512-bit sovereign function. Key Result: Calories = bit voltage | 6 bits = existence | 2 bits = sovereign | 3000 kcal = operational | Below = brownout | Food = signal power 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-BIO-54-2026). Dependencies: CKS-BIO-1-2026, CKS-BIO-53-2026, CKS-MATH-0-2026, CKS-MATH-1-2026, CKS-MATH-10-2026, CKS-MATH-104-2026 Motto: Axioms first. Axioms always.Status: Locked and empirically falsifiable. This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework.