module module moderate

`IndisputableMonolith.Physics.AnchorPolicy`

The AnchorPolicy module defines the logarithmic golden ratio and gap functions to anchor fermion masses within the Recognition Science framework. It would be referenced by researchers calculating mass residues from experimental data at the anchor scale. The module supplies definitions for the gap map, canonical charge bands for electrons and quarks, and stability conditions at the anchor without intricate proofs.

claimThe module introduces the logarithm of the golden ratio $ln phi$, the gap function $F(Z) = ln(1 + Z / phi) / ln phi$, canonical anchors for the electron and up and down quarks, and the display identity axiom at the anchor scale.

background

The module forms part of the physics extension in Recognition Science. It depends on the fundamental time quantum tau_0 = 1 tick defined in Constants. RGTransport provides the formalization of renormalization group transport for the empirical mass residue. RSBridge.Anchor contributes the bridge definitions including the Fermion species, the charge-indexed Z, the gap function F, and the mass at the anchor scale.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

AnchorPolicy is used by the ResidueData module to verify residue certificates through the display identity axiom at the anchor. It bridges the phi-ladder mass formula to Standard Model particles and contributes to the chain leading to the fine structure constant interval and the determination of three spatial dimensions.

scope and limits

Does not derive the golden ratio properties from first principles.
Does not implement the full RG transport equations.
Does not enumerate all Standard Model fermions.
Does not include proofs of the stability bounds.

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

IndisputableMonolith.RSBridge.ResidueData module_import

depends on (3)

Lean names referenced from this declaration's body.

IndisputableMonolith.Constants module_import
IndisputableMonolith.Physics.RGTransport module_import
IndisputableMonolith.RSBridge.Anchor module_import

declarations in this module (19)

def lnphi L55
def F L59
theorem F_eq_gap L62
structure AnchorSpec L71
def canonicalAnchor L90
def canonicalZBands L103
theorem Z_electron L106
theorem Z_up L107
theorem Z_down L108
theorem f_residue L123
theorem stationary_at_anchor L145
theorem stability_bound_at_anchor L172
theorem display_identity_at_anchor L202
structure YukawaSpurion L213
def trivialYukawaSpurion L220
theorem mfv_compatible_at_anchor L235
def display_identity_at_anchor_hypothesis L257
theorem family_ratio_from_display L265
theorem muon_electron_ratio L274