consequences
plain-language theorem explainer
Gauge invariance derived from ledger redundancy yields conservation of electric charge under U(1), color charge under SU(3), and weak isospin under SU(2), while identifying the photon, gluons, and W/Z bosons as gauge fields. Researchers tracing QFT symmetries to information redundancy cite this list when linking Noether currents to primitive distinctions. The definition is a direct enumeration of four descriptive strings with no computation or lemmas.
Claim. Gauge invariance implies conservation of electric charge from the U(1) symmetry, conservation of color charge from the SU(3) symmetry, conservation of weak isospin from the SU(2) symmetry, and the interpretation of the photon, gluons, and W/Z bosons as the associated gauge fields.
background
In the QFT-008 module gauge invariance arises from ledger redundancy: distinct ledger representations encode the same physical state, so the freedom to select among equivalents constitutes the gauge symmetry. This rests on RS-native units with tau0 equal to one tick, ell0 one voxel, and c set to 1, together with the primitive distinction theorem reducing seven axioms to four structural conditions plus three definitional facts. Upstream results include the simplicial ledger continuum bridge equating Laplacian actions to edge lengths from psi and the mechanism design structure ensuring collision-free empirical programs.
proof idea
This declaration is a direct definition that enumerates four string descriptions of gauge invariance consequences. No lemmas or tactics are applied; the body simply lists the items that correspond to conserved currents, massless gauge bosons, force carriers, and renormalizability.
why it matters
This definition supplies the explicit consequences that downstream results in classical cost computations and dimension forcing theorems rely upon when connecting gauge redundancy to physical conservation laws. It fills the QFT-008 paper proposition on deriving gauge symmetry from information redundancy and links to the eight-tick octave and D=3 forcing in the unified chain. It touches the open question of how the specific groups SU(2) x U(1) x SU(3) emerge uniquely from the recognition composition law.
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