IndisputableMonolith.Sociology.CivilizationCyclesFromPhiLadder
The module defines civilizational stages and cycle durations scaled by the phi ladder in Recognition Science. Sociologists modeling long-term societal patterns would cite these objects to express cycle lengths in RS-native units. It consists of type and function definitions plus a certification object, with no proofs inside the module.
claimCivilizationalStage is an enumerated type of discrete levels indexed by rungs on the phi ladder. cycleDuration maps each stage to a duration in base time units τ₀. cycleDurationRatio returns the scaling factor φ^k for integer rung difference k. CivilizationCyclesCert is a certificate asserting that the durations obey the self-similar ratio property of the ladder.
background
Recognition Science fixes the base time quantum τ₀ = 1 tick in the upstream Constants module. The phi ladder supplies successive scales by multiplication with the golden ratio φ, the self-similar fixed point. This sociology module extends the ladder to discrete civilizational stages, defining their count, durations, and ratios directly from the same scaling rule.
proof idea
This is a definition module, no proofs. It declares the stage type, the duration and ratio functions, and the certification object that later theorems will inhabit.
why it matters in Recognition Science
The module supplies the sociological extension of the phi ladder, connecting T6 (phi as self-similar fixed point) and the phi-ladder mass formula to cycle modeling. It prepares the ground for downstream claims about universal scaling in social systems, though no used-by edges are recorded yet.
scope and limits
- Does not derive numerical dates for historical events.
- Does not incorporate external empirical data or validation.
- Does not model perturbations from non-phi factors.
- Does not prove the physical existence of cycles, only their formal structure.