IndisputableMonolith.Relativity.Analysis
Relativity.Analysis aggregates rigorous asymptotic tools for use in Recognition Science relativity derivations. It supplies Filter-based Landau notation and limit handling to replace informal error bounds. Researchers deriving relativistic limits or expansions would import this module. The module achieves its purpose by importing the Landau and Limits submodules which define the O(g) predicates and Mathlib integration.
claimThe module supplies asymptotic classes $f \in O(g)$ realized as Filter predicates together with limit machinery for relativistic analysis.
background
This module provides the asymptotic analysis layer for the Relativity domain in Recognition Science. It imports two submodules whose doc-comments define the setting: Landau implements $f \in O(g)$ as a proper Filter predicate with arithmetic operations and supplies lemmas for manipulating asymptotic expressions; Limits integrates with Mathlib's asymptotics library to furnish rigorous $O(\cdot)$ and $o(\cdot)$ notation and replaces placeholder error bounds with Filter-based definitions.
proof idea
This is a definition module, no proofs. The module structures its content solely by importing the Landau and Limits submodules to expose their Filter predicates and asymptotic lemmas to downstream relativity code.
why it matters in Recognition Science
This module supplies the asymptotic infrastructure required by relativity theorems in the Recognition framework. It enables precise handling of limits and big-O notation in derivations and feeds into parent results that depend on rigorous error control within the Relativity domain.
scope and limits
- Does not contain physical equations or models.
- Does not prove any relativistic theorems.
- Does not implement numerical asymptotics.
- Does not extend beyond Filter-based O and o notation.