CLEAR ONYX · REVIEW BUILD 0.4.2
Gauge & Matter Laboratory
Color Meaning Memory Motion
The Standard Model | QCD
Finite model reader. This laboratory shows each selected state space evolving under its declared update law. Brightness reads local magnitude, hue reads phase, filaments read transport, and the compass names a three-coordinate model read.
INSPECT THE MODEL CLASSES, EQUATIONS, AND BOUNDARY
U(1) flux ring
Uℓ = eⁱᴬℓ; ∏loop Uℓ = eⁱΦ
Gauge-covariant, unitary transport on a closed finite graph. The receipts test local covariance, 2π large-gauge covariance after its required seed twist, and a nonzero half-flux response. The displayed holonomy is a declared reader coordinate.
SU(3) colour links
ψₓ → Gₓψₓ; U₍ₓ,μ₎ → GₓU₍ₓ,μ₎G†₍ₓ+μ₎
Finite non-Abelian link transport. General non-diagonal SU(3) covariance, plaquette and 2×1 Wilson-loop traces, and an evolved colour-singlet determinant are finite checks. RGB maps basis populations for the reader.
Massive Dirac
H(k) = kₓσₓ + kᵧσᵧ + mσ_z
Exact spectral evolution of a 2+1D packet. The receipt checks both branches, charge conjugation, norm, and the 2E mixed-branch beat.
Complex φ⁴ vortex pair
∂t²φ − c²∇²φ + λ(|φ|²−v²)φ = 0
A visible vortex–antivortex seed makes phase winding readable from the first frame. The receipt measures its initial winding and a time-local plaquette count, U(1) action, charge, and both lattice frequencies. The pair is allowed to annihilate.
Two-flavour oscillation
P(α→β) = sin²(2θ) sin²(Δm²L/4E)
The two-lobe display is a state-reader projection. The closed form belongs only to the unpulsed pure-α preparation; a pulsed state reports measured Pβ.
Visual studies
OPEN · check not admitted
Hydrogen, lithium, helium, water, and real 1D φ⁴ remain visible while their independent dynamic receipts are completed. They do not contribute PASS evidence.