Damru Geometry: From Sphere Fractions to Quark Charges, Confinement, and Binding Margins
Abstract
We show that the volume fraction f = ξ³ of a uniform sphere produces quark charge magnitudes (1/3, 2/3) as positions dividing the sphere into three equal volumes. A neck rule assigns charge signs, yielding proton charge +1 and neutron charge 0 without free parameters. The cosmic exponents p = e^(-3/4) and (1-p) map symmetrically about the neck with margins of 0.0276 — six times smaller than quark margins (0.167). Inside the nucleus, three equal volumes parallel three colour charges; eight redistribution patterns match eight gluons. Verification against published data: the geometric Neck (0.667 fm) matches the maximum confining pressure from Burkert et al. (Nature, 2018) at 0.641 fm to 3.9%, and the Cornell potential wavefunction peak at 0.696 fm to 4.3%. Three independent methods converge on the same radial region (0.668 ± 4%). Code: github.com/singhmandy25-gif/speed-gap-framework/damru-verification/
Fields of Study & Subjects
Astrophysics and Cosmic Phenomena
Particle physics theoretical and experimental studies
Quantum Chromodynamics and Particle Interactions
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 29 March 2026
- Document type
- Preprint