Admissibility frontier · Edition 3

Expanded claim page · assertion 1 of 2

What c, L and Y mean

EstablishedAuditor

Follows from declared assumptions and has an inspectable certificate. checks assumptions, certificates, counterexamples and stopping rules.

Exact assertion

In the Standard-Model algebra \(\mathfrak{su}(3)_c\oplus\mathfrak{su}(2)_L\oplus\mathfrak{u}(1)_Y\), c labels colour, the three-way charge carried by quarks; L labels the weak interaction acting on left-handed doublets; and Y is hypercharge, the bookkeeping quantity which combines with weak isospin to give electric charge. These labels are directions in an internal measuring system, not ordinary colours, locations or heights.

What this commits us to

The stated conclusion follows inside the declared model. Reusing it elsewhere requires carrying the same object definitions, assumptions and typing.

Logical anatomy

Scope

Chapter “The Standard-Model seam”, section “What c, L and Y mean”. This is assertion 1 of 2 in that section.

Evidence posture

Audit the declared carrier, assumptions and certificate. The result is exact only within that written scope.

Research move

checks assumptions, certificates, counterexamples and stopping rules.

Verification route

  1. Recover the declared objects and assumptions from the controlling documents.
  2. Check the calculation, construction, obstruction or stopping rule on those same objects.
  3. Compare the source conclusion with the exact assertion above; do not strengthen its verbs or enlarge its domain.
  4. Apply the status rule and retain every named external dependency.

What would move or defeat this claim

Locate a mismatched definition, an omitted assumption, a failed certificate step or a counterexample on the declared carrier.

Source map

Controlling documents