electroweak_8_tick
plain-language theorem explainer
Eight divided by two equals four in the electroweak boson count. Researchers deriving W and Z masses from the phi-ladder and eight-tick octave would cite this identity when partitioning degrees of freedom after symmetry breaking. The proof reduces to a direct native arithmetic check with no lemmas or hypotheses.
Claim. In the electroweak sector, eight ticks divided by two equals four bosons.
background
The module derives W and Z boson masses via the Higgs mechanism in Recognition Science, where the vacuum expectation value sits at a J-cost minimum on the phi-ladder and the weak mixing angle emerges from gauge embedding. The eight-tick octave (period 2^3) from the forcing chain supplies the discrete structure being partitioned here. The upstream has class defines spectral peaks at characteristic frequencies omega_k = omega_0 · phi^k, supplying the rung-ranking analogy used for electroweak scale placement.
proof idea
The proof is a one-line wrapper that applies native_decide to evaluate the arithmetic equality directly.
why it matters
The identity fills the T7 eight-tick octave step in the UnifiedForcingChain by halving the period into four effective boson states after electroweak symmetry breaking. It supports the module's mass predictions m_W ≈ 80.38 GeV and m_Z ≈ 91.19 GeV. No downstream theorems currently reference it.
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