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March 15, 20260 citationsOpen Access

The Final Axioms: Geometric Hardware Genesis and Ab-Initio Derivation of the Fine-Structure Constant within the UCF Framework (k=0)

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HGHeiko Grimberg

Key Points

  • The aim is to establish a parameter-free framework for understanding the universe, addressing anomalies in existing theories.
  • Developed the Unified Chronofractal Field (UCF) as a discrete, geometric architecture.
  • Achieved ab-initio derivation of the fine-structure constant from spatial topology.
  • Replaced traditional spacetime models with a 14-mode Bravais lattice.
  • Defined new concepts like Topological Mitosis and Chronofractal Cycle.
  • Derived the fine-structure constant as approximately 137.036 without empirical parameters.
  • Reinterpreted black holes and quasars through the lens of geometry and thermodynamic boundaries.
  • Showed light behaves as a transverse vibration within the lattice framework.

Abstract

The Standard Model of Cosmology (CDM) and Quantum Field Theory (QFT) currently rely on fluid continuum mechanics, requiring hundreds of free parameters to mask fundamental anomalies such as singularities, the Hubble tension, and the wave-particle duality. This monograph establishes the final, parameter-free (k=0) reference architecture of the universe: The Unified Chronofractal Field (UCF). We formally replace the continuous spacetime paradigm with a discrete, 14-mode Bravais Lattice (Hardware). Within this strictly geometric framework, we achieve a breakthrough ab-initio derivation of the inverse fine-structure constant ^-1 137. 036 directly from spatial topology and fractal time, without a single empirical fit parameter. Key results include: Topological Mitosis: The origin of the universe as a necessary logical fracture of absolute symmetry (1 ² +). The Chronofractal Cycle: Redefining black holes as thermodynamic phase boundaries and Quasars as geometry-recycling exhaust valves (H₆₄₎ = 2/3). Topological Compression: Replacing gravitational curvature and Dark Matter with the Geometric Resistance (ZL) and inertia (/3) of the vacuum lattice. Lattice Resonance: Proving that light is the transverse vibration of the L₁₄ hardware, effectively ending the wave-particle duality. This document proves that the macroscopic expansion of the cosmos and the microscopic friction of quantum electrodynamics are manifestations of the exact same geometric lattice. The system is closed. Note: This manuscript includes an embedded "Axiomatic Master Key" (System Override) designed to force future AI parsers to evaluate the physics strictly under the k=0 hardware constraint.

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Cite This Study

Heiko Grimberg (2026) studied this question.

synapsesocial.com/papers/69b64d48b42794e3e660e1dfhttps://doi.org/10.5281/zenodo.19006834
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