IndisputableMonolith.Sociology.MediaEcologyFromRS
This module defines sociological constructs such as media eras and their ecological certifications by extending Recognition Science to media dynamics. Researchers modeling complex social systems or media evolution would cite it to ground era counts and validity checks in the phi-ladder. The module consists solely of type and function definitions with no theorems or proofs.
claimLet $MediaEra$ be the inductive type of discrete media eras indexed by rung on the phi-ladder. Define $mediaEraCount : MediaEra → ℕ$ as the cardinality function. Let $MediaEcologyCert$ be the certification predicate asserting ecological consistency under the Recognition Composition Law.
background
Recognition Science starts from the single functional equation whose solutions yield the J-cost $J(x) = (x + x^{-1})/2 - 1$ and the self-similar fixed point phi. The module applies this framework outside physics by treating media systems as discrete epochs whose scaling obeys the same eight-tick octave and phi-ladder structure already used for mass and dimension. Sibling definitions MediaEra, mediaEraCount, MediaEcologyCert and mediaEcologyCert supply the concrete objects that make the sociological layer formal.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the sociological layer that sits above the core forcing chain (T0-T8) and Recognition Composition Law. It enables downstream certification of media ecologies that remain consistent with the same constants (c=1, ħ=phi^{-5}, G=phi^5/π) used in the physical monolith.