Geometric Quantization from Sphere Merging: The Density-Volume Principle across All Scales

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Main Author: Singh, Mandeep
Format: Recurso digital
Published: Zenodo 2026
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author Singh, Mandeep
author_facet Singh, Mandeep
contents <p>N identical spheres merging give W = 1/N² with discrete levels. The identity N² = D+1 singles out D = 3 as the only dimension where pair merge = confinement. Energy = density × volume gives E_n = 1/n², stable only for D = 3. Verified across 6 domains. Companion to Paper 2026p. Zero free parameters. Paper 2026q in the Speed Gap Framework series.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19554475
institution Zenodo
language
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Geometric Quantization from Sphere Merging: The Density-Volume Principle across All Scales
Singh, Mandeep
geometric quantization
Clausius-Mossotti relation
sphere merging
rydberg farmula
density-volume principle
speed gap framework
orbital emptiness
dimensional stability
nuclear binding energy
planck constant
<p>N identical spheres merging give W = 1/N² with discrete levels. The identity N² = D+1 singles out D = 3 as the only dimension where pair merge = confinement. Energy = density × volume gives E_n = 1/n², stable only for D = 3. Verified across 6 domains. Companion to Paper 2026p. Zero free parameters. Paper 2026q in the Speed Gap Framework series.</p>
title Geometric Quantization from Sphere Merging: The Density-Volume Principle across All Scales
topic geometric quantization
Clausius-Mossotti relation
sphere merging
rydberg farmula
density-volume principle
speed gap framework
orbital emptiness
dimensional stability
nuclear binding energy
planck constant
url https://doi.org/10.5281/zenodo.19554475