pith. sign in
def

electron_rung

definition
show as:
module
IndisputableMonolith.RRF.Physics.ElectronMass.Defs
domain
RRF
line
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plain-language theorem explainer

Electron rung is fixed at the integer 2 as the baseline index on the phi-ladder for the first-generation lepton. Workers deriving lepton masses or proving the sector is geometry-derived cite this constant when unfolding the structural-mass expression. The declaration is a direct constant assignment with no reduction or tactic steps.

Claim. The electron rung is the integer $r_e := 2$, serving as the baseline rung index for the generation-1 lepton on the Recognition Science phi-ladder.

background

Recognition Science places lepton masses on a phi-ladder whose yardstick is scaled by powers of phi raised to (rung - 8). The electron rung is defined to equal 2 so that it matches the baseline generation-1 lepton. This module isolates the core electron-mass definitions to break import cycles within the T9 block.

proof idea

The declaration is a direct definition that assigns the integer 2.

why it matters

The value feeds the structural-mass definition m_struct = lepton_yardstick * phi^(r - 8) and the theorem lepton_sector_is_derived that shows all lepton constants follow from cube geometry. It supplies the rung anchor required by the eight-tick octave and the mass formula yardstick * phi^(rung - 8 + gap(Z)).

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