HQIV Quantum Maxwell Calculator

1. Quantum Maxwell — degrees of freedom

Effective time derivative D/Dt = ∂/∂t′ + δ̇θ′ ∂/∂δθ′; constitutive ε(φ), μ(φ); φ = 2c²/Θ_local.

φ (auxiliary field, m/s² or same units as Λ²) Λ (scale, same units as √φ) E′ (normalized energy 0–1, sets δθ′) Update

2. Paper calculators

Calculator type Higgs mass (paper) Curvature imprint δ_E(m) Baryogenesis η (QCD window) so(8) Lie closure Apparent age t_app(z) Mass-induced redshift z_g Calculate Add to graph Add δ_E(m) curve (sweep m)

3. Graph (multiple instances)

Clear graph

4. Instances (each plots one series)

+ Add calculator instance

5. Lie closure visualiser

Iterative closure: 𝔤₂ + Δ → commutators until span stabilises at so(8).

Run Lie Closure

6. β-running engine (Table 1)

Modified β(g) = −b₀g³/(16π²)(1 + γ φ/Λ²) on the light-cone; lattice running to α_EM, sin²θ_W, α_s at M_Z.

Run β-running

7. Hypercharge Inspector

Y = ∑ c_k X_k with 28-basis from closure; target block diag(1/6,1/6,1/6,−1/2).

Compute Y from 28 basis