Time-Scalar Field Theory Derivation of π via Transdimensional Identity
Year: 2025
Type: article
Abstract: We extend Time-Scalar Field Theory (TSFT), as introduced in the seminal work Zebra Poker: The Ultimate Unification of Physics [1], to derive the mathematical constant π through the Transdimensional Identity. Building on Ramanujan’s modular forms and hypergeometric series [2, 3], we show that TSFT’s scalar-time phase-closure across Θ-layers enforces an elliptic integral identity, yielding ultra-fast algorithms for π computation, including the Gauss–Legendre quadratic iteration, Borwein quartic iteration, and Chudnovsky series. This unifies geometric constants with TSFT’s conserved energy-flux framework, achieving record convergence rates without additional parameters.
Author: Farrell, Jordan Gabriel
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7117378234
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