sdgt_nu1
plain-language theorem explainer
The theorem asserts that the SDGT rung for the first neutrino species evaluates to zero. Researchers verifying lepton assignments in the Recognition Science mass ladder cite this result to confirm the neutrino sector sits at baseline. The proof reduces immediately to reflexivity on the rung constructor definition.
Claim. The sector-dependent torsion rung for the first neutrino species is zero: $SDGT(nu_1) = 0$.
background
SDGT denotes the sector-dependent torsion rung in the mass ladder. The upstream constructor derives lepton rungs from an ell_baseline term plus a generation-dependent tau_sdgt correction, while quark rungs remain hypotheses drawn from PDG data. The surrounding module establishes that the rung constructor reproduces the charged lepton table.
proof idea
The proof is a one-line wrapper that applies reflexivity to the definition of the SDGT rung constructor for the neutrino species.
why it matters
This result confirms the neutrino SDGT rung remains zero, consistent with derived lepton assignments on the phi-ladder. It supports the mass formula yardstick times phi to the power of rung offset and closes the neutrino case within the lepton verification module. No downstream uses appear, leaving mass implications for the full spectrum open.
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