RJW Proofs in Geometry.

The RJW Force-Line Framework derives the observable universe from five geometric axioms and two fundamental particles:

 the True Quark and the Electron, bothmodeled as vibrational force lines in five-dimensional space. This document presentsnine symbolic proofs, each derived algebraically using SymPy with zero free parameters adjusted after the fact. Results include the helix-lag velocity formula, mass fromgeometry, neutrino visibility, the Weber htrue correction (resolving three experimentaldiscrepancies with one constant), the geometric origin of the fine structure constant,the force hierarchy, state-change energy conservation, the hard-wall nature of c, and atopological proof of the Yang-Mills mass gap.Authors Note:  As is my habit and as i my own custom.  I thank you for reading and hope you see a value of elegance in my work and works.  From July 19, 2025 till now this is my ride to over 130 papers in that time.  Some are probably tired of hearing from a amiture like me.  Yet i struggle on.  But remember, the door is open for colaboration and for questions as long as you want truth.  Take care and God bless your path to Elegance.  RJW