implications
plain-language theorem explainer
This definition enumerates four textual implications that follow when the Weinberg angle is fixed by the golden ratio in Recognition Science. A particle physicist examining electroweak unification would cite the list to frame how RS replaces an arbitrary mixing angle with 8-tick geometry and the phi-ladder. The body is a direct list definition with no computation or lemmas applied.
Claim. If the Weinberg angle is fixed by the golden ratio, then electroweak mixing is fundamental rather than arbitrary, the angle emerges from 8-tick geometry, precise predictions become possible with the full RS model, and running couplings follow the phi-ladder.
background
The module derives the W/Z mass ratio from Recognition Science's phi-structure. Observed values are m_W ≈ 80.4 GeV and m_Z ≈ 91.2 GeV, giving the ratio m_W/m_Z ≈ 0.881 that equals cos(theta_W) by definition. In RS this ratio arises from phi-quantized gauge structure on the SU(2) x U(1) mixing angle. Upstream, the fundamental time quantum tick equals 1 and one octave equals 8 ticks, supplying the 8-tick geometry referenced in the list.
proof idea
This is a direct definition that enumerates four statements. No lemmas are applied and no tactics are used; the body simply constructs the List String literal.
why it matters
The declaration supports the module target of deriving electroweak parameters from RS phi-structure and the eight-tick octave. It records that unification follows from RS, that sin^2(theta_W) should be exactly computable, and that running follows phi-scaling, thereby linking the W/Z ratio to the broader forcing chain and phi-ladder. No downstream uses are recorded.
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