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February 19, 20260 citationsOpen Access

Technical Defense: Topological Phase-Lock and Nodal Criticality: A Discrete 4D Lattice Boltzmann Formalism for the Resolution of Cosmological Singularities

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PNPulikesh Naidu

Key Points

  • The aim is to formalize the defense of the PNI Equation and resolve cosmological singularities.
  • Utilized a 7,200-state discrete 4D manifold.
  • Applied the Lattice Boltzmann Method to analyze vacuum jitter.
  • Examined emergent properties from self-organized criticality.
  • Identified update limit Vn = 0.7314 and refractive index nΥ ≈ 1.0822.
  • Resolved the Big Bang singularity as a topological 'Bounce'.
  • Connected findings to Shannon capacity saturation.

Abstract

This document formalizes the mechanical defense of the PNI Equation (PNI). We demonstrate that the update limit Vn = 0.7314 and the refractive index nΥ ≈ 1.0822 are emergent properties of self-organized criticality in a 7,200-state discrete 4D manifold. By applying the Lattice Boltzmann Method (LBM) to vacuum jitter (ˆγp), we resolve the Big Bang singularity as a topological "Bounce" driven by Shannon capacity saturation.

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Cite This Study

Pulikesh Naidu (2026) studied this question.

synapsesocial.com/papers/6996a818ecb39a600b3ee81ahttps://doi.org/10.5281/zenodo.18663490
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