IndisputableMonolith.Physics.ElectronMass
Module ElectronMass supplies hypothesis-driven bounds on the electron residue using structural mass in (10856, 10858) and observed mass 0.510998950, yielding residue in (-20.7063, -20.7058). Researchers deriving lepton masses or computing gravitational couplings cite it for the T9 step. The module structures content by importing core definitions and necessity results from sibling submodules without internal proofs.
claimGiven structural mass in $(10856, 10858)$ and observed electron mass $m_e = 0.510998950$, the electron residue lies in $(-20.7063, -20.7058)$.
background
The module occupies the T9 position in the Recognition Science derivation chain for lepton sector constants. It imports from ElectronMass.Defs, whose doc states that lepton constants are derived from cube geometry rather than chosen arbitrarily, and from ElectronMass.Necessity, whose doc states that the electron mass formula is forced from T8 ledger quantization together with earlier geometric constants. Key objects include electron_residue (the signed difference between predicted and observed mass on the phi-ladder) and structural_mass (the base scale entering the mass formula yardstick times phi to a rung power).
proof idea
This is a definition module, no proofs. It imports the full set of definitions from ElectronMass.Defs and the forcing argument from ElectronMass.Necessity, then states the numerical residue bounds directly as a hypothesis interface.
why it matters in Recognition Science
The module supplies the electron mass reference required by AlphaGScoreCard for the dimensionless gravitational coupling alpha_G = G m_e^2 / (hbar c). It also anchors the deep-ladder neutrino scale in NeutrinoSector and the quarter-ladder quark masses in QuarkMasses. It completes the T9 link from T8 ledger quantization to concrete lepton constants in the overall forcing chain.
scope and limits
- Does not derive electron mass without the structural-mass hypothesis interval.
- Does not compute residue from first principles alone.
- Does not extend the bounds to mu or tau leptons.
- Does not incorporate higher-order phi-ladder corrections.