Constants External Anchors Alpha Inv Codata Pos

The positive anchor

The inverse fine-structure constant, written 1/α, is a pure number that sets the strength of electromagnetic interaction. Its measured value, from the CODATA 2022 adjustment, is 137.035999177, with an uncertainty of 0.000000021. The number is positive, as a ratio of physical quantities must be.

In the Recognition Science framework, a machine-checked library of formal theorems stores this measured value in a single quarantined module. The declaration alpha_inv_CODATA_pos is a lemma, not a new physical claim. It states that the stored number 137.035999177 is greater than zero. The proof is a direct numerical check: the definition of the constant is positive by inspection. The lemma exists so that other formal arguments can safely divide by this constant or use it in inequalities without rechecking its sign.

The lemma does not derive the value of 1/α from first principles. It does not assert that the Recognition Science framework predicts this number. It does not claim that the measured value is exact or that the CODATA adjustment is the final word. The lemma merely records a property of a number that the framework imports from experimental data, so that the rest of the library can rely on that property when needed.

lemma alpha_inv_CODATA_pos : 0 < alpha_inv_CODATA := by norm_num [alpha_inv_CODATA]

lemma alpha_inv_CODATA_pos : 0 < alpha_inv_CODATA := by norm_num [alpha_inv_CODATA]

lemma alpha_inv_CODATA_pos : 0 < alpha_inv_CODATA := by norm_num [alpha_inv_CODATA]

What this page does not claim

The lemma does not derive the value of 1/α from first principles. The lemma does not assert that the Recognition Science framework predicts this number. The lemma does not claim that the measured value is exact or that the CODATA adjustment is the final word.

Verify this page

Every tagged claim above names its theorem. To check one yourself rather than trust this page, elaborate the source module with Lean 4 and audit its axiom basis:

$ lake env lean IndisputableMonolith/Constants/ExternalAnchors.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

A page whose claims cannot be reproduced this way does not ship. In production, every anchor links to the exact declaration in the public source release, and this block carries the build receipt for the page itself.

Derived articles

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