Causal chain
From the arithmetic chain to the derived symmetry s = 1/2, then to the 43 Standard Model observables. Nodes distinguish theorems, bridges, derivations, and validations. Click a node to open its page.
Hover a node for its description, click to open its page.
The critical path
The chain starts from the dynamical field closed by T0, then L0 fixes the gap law and T1 imposes the zero diagonal that forces s = 1/2. L0 fixes the distribution, T2 and GFT express conservation, T6 makes trigonometry emerge, and T5 closes the fixed point.
The bifurcation
At μ* = 15, the system splits into two branches. The q⁺ branch yields couplings (vertex, leptons, α_EM); the q⁻ branch yields geometry (propagator, quarks, CKM).
input theorem bridge derivation verified