IndisputableMonolith.Economics.InnovationDiffusionFromPhiLadder
The module defines structures for modeling innovation diffusion grounded in the phi-ladder of Recognition Science. Core objects include AdopterCategory, adoptionTime, adoptionTimeRatio, and InnovationDiffusionCert. Economists studying self-similar adoption patterns in technology or markets would cite these definitions. The module consists entirely of definitions with no proofs.
claimCore objects: $AdopterCategory$, $adoptionTime$, $adoptionTimeRatio$, $InnovationDiffusionCert$ for phi-ladder diffusion modeling.
background
The module applies Recognition Science to economics by extending the phi-ladder to innovation processes. It imports the fundamental RS time quantum from Constants, described as the fundamental RS time quantum (RS-native). τ₀ = 1 tick. Sibling definitions introduce adopter categories and time ratios to capture self-similar scaling in adoption curves.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module supplies the definitional foundation for economic applications within the Recognition framework. It connects phi-ladder structures to adopter dynamics and supports extensions involving the self-similar fixed point and eight-tick octave. No downstream theorems are listed, marking it as a base layer for further econophysics work.
scope and limits
- Does not prove theorems on diffusion rates or thresholds.
- Does not assign numerical values to adoption parameters.
- Does not integrate empirical datasets or simulations.
- Does not model competitive or regulatory influences.