Physics Anomalous Magnetic Moment From Rs Wolfenstein A Eq

Wolfenstein A in the framework

The anomalous magnetic moment of the electron is a measured departure from the value that quantum electrodynamics predicts for a point particle. Its size, about 0.001159652, is one of the most precisely tested numbers in physics. The standard account splits the correction into five named contributions: one-loop QED, two-loop QED, three-loop QED, hadronic, and electroweak. Each piece is a separate calculation with its own diagrams and its own numerical weight.

In Recognition Science, the framework's machine-checked library of formal theorems defines the same five contributions as an enumerated type. A theorem in that library proves the count is five. The library also defines a rational number called Wolfenstein A and sets it to 9/11. The declaration wolfensteinA_eq is the theorem that this definition is correct: it states that the constant equals 9/11. This is a definitional identity, proved by reflexivity, with no axioms beyond the kernel's standard three.

What the declaration does not do is derive the fine-structure constant α from first principles. The library's docstring notes that α is approximately 2/17 times a correction, and that α/π is approximately 2/(17π). These are stated as approximations, not as proved equalities. The value 9/11 appears in a separate line about strong-coupling predictions, but no theorem links 9/11 to α or to the measured anomalous moment. The exact value of α remains an open target in the framework.

The practical upshot is narrow but clean. If you want to know what the framework has actually proved about the anomalous magnetic moment, the answer is a count and a definition: five contributions, and a constant set to 9/11. The physics that connects those pieces to the measured 0.001159652 is not part of the formal record. The framework's claim is about the structure of the decomposition, not about the number that experiments see.

theorem wolfensteinA_eq : wolfensteinA = 9 / 11 := rfl

theorem gmTwoCount : Fintype.card GmTwoContribution = 5 := by decide

What this page does not claim

The declaration does not prove the fine-structure constant α equals any particular value. The declaration does not relate 9/11 to the measured anomalous magnetic moment. The declaration does not derive the numerical value 0.001159652.

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/Physics/AnomalousMagneticMomentFromRS.lean
expected axiom basis: [propext, Classical.choice, Quot.sound] (the Lean kernel's standard three; no RS-specific axioms)

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