Encyclopedia Verification Verification Neutrino Reference Index Check

ARTICLE 3 claims 3 theorems

Verification Neutrino Reference Index Check

A machine-checked file that catches a simple arithmetic error in a published neutrino formula, showing the computed index is about 7.92, not 85.5.

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An arithmetic check

The verification neutrino reference index check is a small, machine-checked file inside the Recognition Science library. Its job is purely arithmetic: it takes the numbers from a published equation and verifies what they actually multiply to. The equation in question, Eq. (3.25) of the article 2601.12194v1, claims a neutrino reference index of about 85.5, computed as 7 times 1 over 0.515 times 0.583.

The file reduces that exact expression to a rational number. The result is 4081 divided by 515, which is approximately 7.924, not 85.5. A second theorem confirms the value lies strictly between 7.92 and 7.93. A third theorem states plainly that the expression does not equal 85.5. All three are proved by recognition, the framework's term for a discrete record of events, but here the recognition is simply exact arithmetic on rational numbers.

The module does not derive physics. It does not model neutrinos, masses, or couplings. It only checks that a specific calculation in a specific article is arithmetically correct as written. The discrepancy between 7.92 and 85.5 is a factor of about 10.8, far too large to be a rounding effect. The file's plain-language conclusion is that the published number does not follow from the formula printed next to it.

This kind of check matters because a single arithmetic slip in a published equation can propagate into later work that cites the result. The machine-checked file settles the question of what the formula evaluates to, without relying on hand calculation or trust in a screenshot. Anyone reading the article can now see, in one line, that the stated 85.5 is not what the expression produces.

THEOREM nν_value · IndisputableMonolith/Verification/NeutrinoReferenceIndexCheck.lean

Lean source not resolved on this build host. The module path in the line above is the public reference.

THEOREM nν_bounds · IndisputableMonolith/Verification/NeutrinoReferenceIndexCheck.lean

Lean source not resolved on this build host. The module path in the line above is the public reference.

THEOREM nν_ne_85_5 · IndisputableMonolith/Verification/NeutrinoReferenceIndexCheck.lean

Lean source not resolved on this build host. The module path in the line above is the public reference.

What this page does not claim

This module does not derive or model any neutrino physics. The check does not identify where the article's arithmetic went wrong, only that the printed result does not match the formula.

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/Verification/NeutrinoReferenceIndexCheck.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

This page is generated by a question-recursion engine: the questions its answers raise become the next pages. The current agenda, with open targets marked red:

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