Document Code: MATH-INIT-R01
Filed under: Bureau of Symbolic Mechanics / Applied Containment
Mathematics
Status: Active Draft
We begin with the proposed foundational relation for the proton radius:
r_p ∝ 1 / (κ · B · R_c)
Where:
- r_p: Proton radius
- κ (kappa): Containment elasticity constant
- B: Braid tightness factor (field entanglement density)
- R_c: Referential coherence field (ambient symbolic resistance to compression)
To account for microstructure complexity, we introduce a correction factor β derived from braid topology:
r_p ∝ 1 / (κ · B · R_c) · β
Where β adjusts for the internal symbolic-tensional resonance generated by braid crossings, evaluated by symbolic curvature indices (SCI).
1. Derive κ from known Planck containment structures using resonance durations.
2. Calibrate B using observed entanglement in proton gluon field structures.
3. Model R_c as an inverse function of information leakage across vacuum boundaries.
4. β to be estimated by harmonic analysis of braid graphs (starting with 3-strand, moving to 5-strand minimal tension).
— Draft prepared by Symbolic Mechanics Subunit, MPSoL.