IndisputableMonolith.RRF.Physics.ElectronMass.Defs
This module defines the lepton sector parameters for the electron mass in the Recognition framework, fixing the binary gauge at B = -22 and declaring the rung, yardstick, structural mass, residue, and predicted mass. Researchers computing masses from the phi-ladder and topological shifts would cite these definitions to obtain the electron prediction. It is a definition-only module containing no proofs.
claimLepton sector binary gauge $B = -22$. Electron structural mass $m_s = y_l · ϕ^{r-8 + g(Z)}$ where $y_l$ is the lepton yardstick, $r$ the electron rung, and $g(Z)$ the gap function on charge index $Z$. Predicted mass $m_e = m_s · (1 + ρ)$ at reference scale in MeV, with residue $ρ$.
background
The module sits in the RRF.Physics.ElectronMass namespace and supplies concrete parameter values for the electron as a lepton. It imports the RS time quantum τ₀ = 1 tick, the identity φ² = φ + 1, the alpha derivation from cubic-ledger vertex deficits, the topological shift δ = 2W + (W + E_total)/(4 E_passive) + α² + E_total α³, and the fermion Z-map with gap F(Z) = ln(1 + Z/φ)/ln(φ).
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module supplies the concrete definitions for electron mass on the phi-ladder, feeding structural mass and predicted mass into higher-level RRF calculations. It realizes the T9 topology refinements for the lepton sector using the anchor gap function and yardstick scaling, supporting mass predictions in the D = 3 framework.
scope and limits
- Does not derive the binary gauge B = -22 from the recognition equation.
- Does not extend definitions to muon or tau leptons.
- Does not compute numerical values of the predicted mass.
- Does not include quantum corrections beyond structural mass.
- Does not connect to the full unified forcing chain T0-T8.