IndisputableMonolith.Sport.RecordProgressionFit
This module defines the reference gap-to-asymptote for sporting events as 1 in RS-native units and supplies supporting gap functions. Researchers fitting athletic record curves to the Recognition Science phi-ladder would cite it. The module is purely definitional and imports only the base time quantum from Constants.
claimThe module introduces the reference gap-to-asymptote $g_\text{ref}=1$ (RS-native) together with gapAt, consecutive_gap_ratio and RecordProgressionCert for any event.
background
The module sits in the Sport domain and imports IndisputableMonolith.Constants, whose sole documented content is the fundamental RS time quantum $\tau_0=1$ tick. It defines referenceGap as the fixed gap-to-asymptote value of 1 and then builds gapAt, gapAt_pos', consecutive_gap_ratio and the certification object RecordProgressionCert on top of that constant. These objects adapt the gap(Z) construction from the mass formula to performance records approaching an asymptote.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the base reference value and gap machinery that the sibling declarations (RecordProgressionCert, gapAt_strictly_decreasing, etc.) rely on. It extends the gap concept already present in the main Recognition Science mass formula to the Sport domain, providing the starting point for any later record-progression theorems.
scope and limits
- Does not contain measured athletic data.
- Does not prove convergence rates for real records.
- Does not link the gap value to specific physical constants beyond the imported $\tau_0$.
- Does not address multi-event interactions.