PCF Framework
The Precedent-Current-Forthcoming (PCF) Framework identifies the primitive structure of the complex plane, bridging absolute geometry and string theory with the distribution of prime numbers.
This portal provides technical summaries and the Lean 4 formal verification suite for the framework's core constructions.
Research
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Simultaneous Identities of the Golden Ratio and Euler's Identity
Formal verification in Lean 4 that the golden ratio φ satisfies twelve identities across five canonical structures, specialised to the 52 known Mersenne prime exponents.
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The Crystalline Worldsheet
A string theoretical framework based on φ and π for the de Sitter observer problem.
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Odd Zeta Values from the PCF Torus
Demonstrating that the odd values ζ(2k+1) are structurally determined by the golden ratio φ and π.
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The Hilbert-Pólya Operator and the Primitive Structure of the Complex Plane
Construction of a Hermitian operator H_PCF whose spectrum approximates the non-trivial zeros of the Riemann ζ function.