The Californer - CMAC Institute Announces Machine-Verified Derivation of Fundamental Physics and Constant Alpha

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SAN DIEGO - Californer -- The CMAC Institute Announces Machine-Verified Derivation of Fundamental Physics from Information-Theoretic Substrate

PALO ALTO, CA — January 22, 2026 — The CMAC Institute, an independent research organization, today announced the formal verification of the Coherence-Metastability-Adjacency-Contraction (CMAC) framework. This novel theoretical model derives the fundamental laws of physics—including Special Relativity and the Fine Structure Constant—not as geometric postulates, but as emergent consequences of a discrete, budget-constrained stochastic substrate.

Bridging the Gap Between Information and Physics

The CMAC framework replaces traditional axioms with a Bandwidth Mandate ($B=1$). This mandate dictates that every event in the "vacuum foam" possesses a fixed, finite capacity for state-updates. As an object moves through the substrate (spatial flux), its internal update capacity (proper time) is strictly diminished. This resource-allocation identity recovers the Lorentz factor ($\gamma$) with a numerical residual of $10^{-5}$, establishing Relativity as a zero-sum game of information processing.

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The 12:1 Knot and the Fine Structure Constant

Extending beyond kinematics, CMAC identifies elementary particles like the electron as topological stability resonances within the substrate. Specifically, the 12:1 Torus Knot (Dodeca-Loop) has been identified as a global tension minimum. This geometric invariant yields a derived Fine Structure Constant of $\alpha^{-1} \approx 137.038$, matching experimental data with 0.001% precision.

Hardened by Formal Verification

To ensure the mathematical rigidity of these results, the foundational logic of CMAC has been machine-checked using the Lean 4 interactive theorem prover. This formal audit ensures that the emergent laws are mathematically inevitable consequences of the substrate's axioms, providing a level of rigor rare for independent theoretical research.

"CMAC represents a shift from describing what the universe does to understanding the resource constraints that force it to behave that way," said Nanak Love, Lead Researcher at The CMAC Institute. "By using formal verification, we can judge the framework on its verifiable internal consistency rather than institutional credentials."

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About The CMAC Institute

The CMAC Institute is an independent research initiative focused on the computational synthesis of fundamental physical laws.

Technical notes and reproducibility bundles (including Figure 1 and Figure 2 data) are available for domain-expert audit at the institute's repository: https://cmacinstitute.org/public-reproducibility/