Topological Invariance and Nodal Phase-Lock: A Discrete Foundation for Leptonic Phases and Hadronic Slopes

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Autore principale: Naidu, Pulikesh
Natura: Recurso digital
Lingua:inglese
Pubblicazione: Zenodo 2026
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author Naidu, Pulikesh
author_facet Naidu, Pulikesh
contents <p>This paper presents a formal audit of the CERN TOTEM elastic scattering data, identifying a high-precision match between the observed nuclear slope (B) and the PNI framework. We demonstrate that the slope of <strong>19.96 +/- 0.04 GeV^-2</strong> is not a phenomenological variable, but a direct derivation from a 7,200-state discrete lattice (K) and its fundamental refractive index (n_Upsilon ≈ 1.0822).</p> <p><strong>Key Contributions:</strong></p> <ul> <li> <p><strong>Empirical Verification:</strong> Direct first-principles derivation of the <strong>19.958 GeV^-2</strong> slope, matching LHC measurements at sqrt(s) = 8 and 13 TeV.</p> </li> <li> <p><strong>Barkhausen Jitter Prediction:</strong> A specific call for Fourier analysis of dσ/dt residuals to detect the 1.0822 lattice harmonic—the "hum" of a quantized vacuum.</p> </li> <li> <p><strong>Gravitational Extension:</strong> Application of the Nodal Saturation Limit to predict a <strong>-0.116 phase-inverted reflection coefficient</strong> for gravitational wave echoes, providing a macroscopic test for the framework.</p> </li> <li> <p><strong>Unification:</strong> Connects the hadronic "elasticity" of the proton to the "reflectivity" of saturated informational boundaries (Black Holes) through a singular, topological constant.</p> </li> </ul>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_18807829
institution Zenodo
language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Topological Invariance and Nodal Phase-Lock: A Discrete Foundation for Leptonic Phases and Hadronic Slopes
Naidu, Pulikesh
TOTEM
Elastic Scattering
Nuclear Slope B
19.96 GeV-2
CERN LHC
PNI Framework
1.0822
Nodal Saturation
Gravitational Wave Echoes
Barkhausen Noise
Discrete Spacetime
7200-state Register
<p>This paper presents a formal audit of the CERN TOTEM elastic scattering data, identifying a high-precision match between the observed nuclear slope (B) and the PNI framework. We demonstrate that the slope of <strong>19.96 +/- 0.04 GeV^-2</strong> is not a phenomenological variable, but a direct derivation from a 7,200-state discrete lattice (K) and its fundamental refractive index (n_Upsilon ≈ 1.0822).</p> <p><strong>Key Contributions:</strong></p> <ul> <li> <p><strong>Empirical Verification:</strong> Direct first-principles derivation of the <strong>19.958 GeV^-2</strong> slope, matching LHC measurements at sqrt(s) = 8 and 13 TeV.</p> </li> <li> <p><strong>Barkhausen Jitter Prediction:</strong> A specific call for Fourier analysis of dσ/dt residuals to detect the 1.0822 lattice harmonic—the "hum" of a quantized vacuum.</p> </li> <li> <p><strong>Gravitational Extension:</strong> Application of the Nodal Saturation Limit to predict a <strong>-0.116 phase-inverted reflection coefficient</strong> for gravitational wave echoes, providing a macroscopic test for the framework.</p> </li> <li> <p><strong>Unification:</strong> Connects the hadronic "elasticity" of the proton to the "reflectivity" of saturated informational boundaries (Black Holes) through a singular, topological constant.</p> </li> </ul>
title Topological Invariance and Nodal Phase-Lock: A Discrete Foundation for Leptonic Phases and Hadronic Slopes
topic TOTEM
Elastic Scattering
Nuclear Slope B
19.96 GeV-2
CERN LHC
PNI Framework
1.0822
Nodal Saturation
Gravitational Wave Echoes
Barkhausen Noise
Discrete Spacetime
7200-state Register
url https://doi.org/10.5281/zenodo.18807829