Emergent 4D Spacetime and Standard Model from 5D Holographic Tensor Networks: An Ab Initio Topological Approach (Эмерджентное 4D пространство-время и Стандартная модель из 5D голографических тензорных сетей: топологический подход ab initio)

This repository contains a parameter-free, ab initio theoretical framework and accompanying computational simulations modeling the Universe as a 4D domain wall boundary of a 5D holographic bulk. The architecture is constructed using a strictly 6-valent tensor network geometry. By enforcing topological rigor and large-N limits, we derive fundamental physical constants and phenomena without manual parameter fitting (p-hacking). Key findings presented in this preprint include: An exact analytical derivation of the Muon g-2 anomaly using the trefoil knot topological invariant (c=3). The derivation of the Cosmic Microwave Background (CMB) spectral index (ns≈0.965) through 6-valent site percolation criticality (pc=0.2). The natural generation of the fine-structure constant hierarchy (≈1/137) via Wilson loop topological areas in the discrete holographic lattice. The framework inherently satisfies the Nielsen-Ninomiya theorem by localizing chiral fermions on the 4D boundary. The attached Python scripts computationally validate these topological invariants, establishing a mathematically consistent, falsifiable paradigm for quantum gravity, cosmology, and particle physics.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-24
DOI
https://doi.org/10.5281/zenodo.21522163
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Emergent 4D Spacetime and Standard Model from 5D Holographic Tensor Networks: An Ab Initio Topological Approach (Эмерджентное 4D пространство-время и Стандартная модель из 5D голографических тензорных сетей: топологический подход ab initio)

Evgeniy Agafonov
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Emergent 4D Spacetime and Standard Model from 5D Holographic Tensor Networks: An Ab Initio Topological Approach (Эмерджентное 4D пространство-время и Стандартная модель из 5D голографических тензорных сетей: топологический подход ab initio)

Evgeniy Agafonov
preprint en

Abstract

This repository contains a parameter-free, ab initio theoretical framework and accompanying computational simulations modeling the Universe as a 4D domain wall boundary of a 5D holographic bulk. The architecture is constructed using a strictly 6-valent tensor network geometry. By enforcing topological rigor and large-N limits, we derive fundamental physical constants and phenomena without manual parameter fitting (p-hacking). Key findings presented in this preprint include: An exact analytical derivation of the Muon g-2 anomaly using the trefoil knot topological invariant (c=3). The derivation of the Cosmic Microwave Background (CMB) spectral index (ns≈0.965) through 6-valent site percolation criticality (pc=0.2). The natural generation of the fine-structure constant hierarchy (≈1/137) via Wilson loop topological areas in the discrete holographic lattice. The framework inherently satisfies the Nielsen-Ninomiya theorem by localizing chiral fermions on the 4D boundary. The attached Python scripts computationally validate these topological invariants, establishing a mathematically consistent, falsifiable paradigm for quantum gravity, cosmology, and particle physics.

Zenodo (CERN European Organization for Nuclear Research)
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Noncommutative and Quantum Gravity Theories
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