IndisputableMonolith.CrossDomain.DevelopmentReversal
The DevelopmentReversal module defines a reversal map on Fin 8 to model inversion of Erikson's eight stages. It supports cross-domain links in Recognition Science between psychology and the eight-tick octave. The module contains definitions and lemmas for the map and its properties.
claimDefines the reversal map $r : Fin 8 → Fin 8$ satisfying $r(r(x)) = x$, endpoint swaps, and midlife inversion.
background
The module is part of CrossDomain and imports Mathlib. It defines EriksonStage as Fin 8, eriksonCount as the number of stages, and the reverse function. The doc-comment identifies it as the reversal map on Fin 8. Related definitions include reverse_involution and midlife_inverts_first.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module provides the reversal operation that feeds into DevelopmentReversalCert and erikson_eq_2cube. It connects to the eight-tick octave in the UnifiedForcingChain.
scope and limits
- Does not establish links to physical constants or the phi-ladder.
- Does not provide a full model of Erikson stages beyond the reversal.
- Does not include proofs of deeper properties beyond basic involution.