IndisputableMonolith.Foundation.QRFT.HiggsPotentialFromRecognitionVacuum
Module defines the Higgs potential as the J-cost on the ratio of the Higgs field to its vacuum expectation value. Researchers deriving the Standard Model from Recognition Science cite this construction. The module organizes definitions and basic properties of the potential.
claimThe Higgs potential is $V(phi) = J(phi / v)$, where $J(x) = (x + x^{-1})/2 - 1$ and $v$ is the vacuum expectation value.
background
This module sits in the Foundation.QRFT portion of Recognition Science. It imports Constants, which defines the fundamental RS time quantum tau_0 = 1 tick, and Cost to access the J-cost function. The setting identifies the Higgs potential directly with the recognition cost on field ratios, with the vacuum at the point of zero potential.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
This module provides the Higgs potential that feeds into HiggsPotentialCert and the uniqueness and non-negativity results. It fills the step connecting the recognition vacuum to the Higgs sector in the QRFT framework, consistent with the J-uniqueness and phi-ladder from the forcing chain.
scope and limits
- Does not compute the Higgs boson mass.
- Does not derive gauge couplings.
- Does not address renormalization group flow.
- Does not connect to gravity or other forces.