alpha_CODATA
This definition records the CODATA 2022 measured value of the fine structure constant for calibration against Recognition Science derivations. Experimental physicists and theorists checking numerical predictions would reference it to anchor comparisons. The entry is introduced by a direct real-number assignment without internal derivation.
claimThe fine structure constant equals $7.2973525643 × 10^{-3}$.
background
The ExternalAnchors module serves as the sole location for empirical calibration data entering from outside the Recognition Science framework. Its policy isolates these values so that the cost-first core, built on the Recognition Composition Law, never imports measured constants. This separation keeps pure derivations independent while permitting later quantitative checks.
proof idea
The definition directly assigns the decimal value 7.2973525643e-3 to the real number. No lemmas or tactics are invoked; it is a literal constant declaration.
why it matters in Recognition Science
This anchor supplies the experimental value of the fine structure constant, allowing direct comparison with the framework prediction that its reciprocal lies between 137.030 and 137.039. It fills the role of an external reference point in the constants domain without affecting the core forcing chain from T0 to T8. No parent theorems depend on it yet.
scope and limits
- Does not compute the constant from the Recognition Composition Law.
- Does not incorporate the stated uncertainty of 1.5 × 10^{-10}.
- Does not permit import into the pure cost derivation modules.
- Does not claim agreement with any RS-native formula.
formal statement (Lean)
118@[simp]
119noncomputable def alpha_CODATA : ℝ := 7.2973525643e-3
proof body
Definition body.
120
121/-- **EXTERNAL ANCHOR**: Fine structure constant uncertainty (1σ). -/