IndisputableMonolith.Sport.RecordProgressionFit
This module supplies definitions for reference gaps and record progression certificates in the sport domain of Recognition Science. It models how athletic records approach an asymptote using the RS-native gap of 1. Applied mathematicians or sports data analysts would cite these for empirical fits to the phi-ladder. The module is purely definitional with no proofs.
claimThe module defines referenceGap as the RS-native gap-to-asymptote equal to 1 for any event, together with gapAt, consecutive_gap_ratio, gapAt_strictly_decreasing, and RecordProgressionCert for certifying progression fits.
background
The module imports IndisputableMonolith.Constants, whose doc-comment states that τ₀ is the fundamental RS time quantum with τ₀ = 1 tick. It introduces sibling definitions referenceGap, gapAt, gapAt_pos', gapAt_succ_ratio, consecutive_gap_ratio, gapAt_strictly_decreasing, RecordProgressionCert and recordProgressionCert. These operate in the sport domain to quantify gaps between successive records and their approach to an asymptote in RS-native units.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module populates the sport domain and supplies the reference gap used by downstream record-progression certificates. It extends the forcing chain (T0-T8) and Recognition Composition Law into empirical athletic data by providing the yardstick for phi-ladder gaps in the sport setting.
scope and limits
- Does not import or reference any record data sets.
- Does not prove that gaps converge under the J-function.
- Does not connect to the mass formula or alpha band.
- Does not discharge any hypothesis_interface from Constants.