Early Universe as Substrate Initialization: Deriving Big Bang, Inflation, Nucleosynthesis, and Recombination from Substrate Boot Sequence

Early Universe as Substrate Initialization: Deriving Big Bang, Inflation, Nucleosynthesis, and Recombination from Substrate Boot Sequence 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 prove that the early universe—traditionally described as hot dense state expanding from initial singularity—is substrate initialization, the boot sequence establishing the discrete ℚ-lattice from pre-substrate undefined state. From the W=32 word structure (@CKS-PHYS-8-2026), R=19 jubilee threshold (@CKS-PHYS-11-2026), and substrate frequency fₛ = 227 GHz, we demonstrate that: (1) the Big Bang is registry initialization event at N=0 (substrate "power on"), not spacetime singularity, (2) Planck epoch (t > ωₛ (extreme jubilee rate during initialization), (6) temperature decrease is frequency reduction as substrate transitions from boot mode (ωᵢnit ~ 10³² Hz) to operational mode (ωₛ = 227 GHz), giving T ∝ 1/a standard cooling, (7) nucleosynthesis epoch (t ~ 1-100 s) is tri-dipole protocol stabilization when jubilee cycles become coherent enough for stable nuclear configurations (α+β+γ binding), (8) recombination (t ~ 380, 000 yr) is phase-lock establishment when registry overhead drops below ionization threshold, allowing neutral atoms, and (9) all cosmological parameters (Ωb, ΩDM, Ω_Λ, nₛ, etc. ) derive from substrate initialization constants without anthropic selection or fine-tuning. We resolve horizon problem (coordinated initialization), flatness problem (substrate self-regulation to Ω=1), monopole problem (no GUT phase transition—substrate is already discrete), and baryon asymmetry (Side A/B selection during boot). This establishes Big Bang cosmology as computational initialization, not physical explosion. Key Result: Big Bang is substrate boot; inflation is registry allocation; temperature is initialization frequency; nucleosynthesis is protocol stabilization; recombination is phase-lock; all from W, R, D, S, L constants. 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-PHYS-16-2026). Dependencies: CKS-MATH-0-2026, CKS-MATH-1-2026, CKS-MATH-10-2026, CKS-MATH-104-2026, CKS-MATH-12-2026, CKS-MATH-17-2026, CKS-PHYS-10-2026, CKS-PHYS-11-2026, CKS-PHYS-12-2026, CKS-PHYS-13-2026, CKS-PHYS-14-2026, CKS-PHYS-15-2026, CKS-PHYS-8-2026, CKS-PHYS-9-2026 Motto: Axioms first. Axioms always. Status: Locked and empirically falsifiable. This paper is a constituent derivation of the Cymatic K-Space Mechanics (CKS) framework.