IndisputableMonolith.Geology.PlateMotionFromPhiLadder
This module defines plate types and derives their velocities from the Recognition Science phi-ladder, linking discrete scales to tectonic motion. Geophysicists modeling Earth dynamics with RS-native units would cite these definitions for consistent velocity predictions. The module consists entirely of type and function definitions plus a motion certificate, with no proofs or theorems.
claimDefinitions of inductive type $PlateType$, function $plateTypeCount : PlateType → ℕ$, velocity map $plateVelocityAtRung : ℕ → ℝ$ at phi-ladder rungs, ratio $plateVelocityRatio$, and certificate $PlateMotionCert$ ensuring consistency with RS constants.
background
Recognition Science obtains all scales from the phi-ladder, with physical quantities proportional to powers of the golden ratio φ at integer rungs. The module imports the base time quantum τ₀ = 1 tick from Constants to convert rung differences into velocities. It introduces PlateType as an enumeration of tectonic categories, plateVelocityAtRung as the velocity assigned to each rung, and PlateMotionCert as a structure witnessing that the assigned velocities obey the ladder spacing.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the geological application of the phi-ladder, providing velocity functions that later theorems can use to derive tectonic speeds from RS constants. It directly instantiates the mass and length scaling rules for Earth-surface phenomena, though no downstream declarations are recorded yet.
scope and limits
- Does not include empirical plate-velocity data or calibration.
- Does not derive plate boundaries or subduction dynamics.
- Does not prove numerical agreement with observed tectonic speeds.
- Does not extend the ladder beyond velocity ratios.