Numerical closure of paper Step 4(B) at one fixed operator slot #
The physical proof of Step 4(B) keeps the complete fixed-slot source signed, extracts the one high projected covariance, and repeats Steps 2--3. Its natural endpoint is therefore one inserted primitive majorant multiplied by the endpoint and central-frequency decays. This file names that endpoint and performs only the common scalar conversion.
def
Anderson4D.SmoothCutoff.R324PaperFixedSlotWeightedMajorantBound
(rho : SmoothCutoff)
(primitiveConstant supportConstant : ℝ)
:
Paper Step 4(B)'s physical producer boundary for a single fixed operator slot. The norm is outside the complete signed slot series; no contraction, pairing, route, or Fourier-configuration norm occurs here.
Equations
- One or more equations did not get rendered due to their size.
Instances For
theorem
Anderson4D.SmoothCutoff.R324PaperFixedSlotWeightedMajorantBound.toOperatorSlotCollapseBound
{rho : SmoothCutoff}
{primitiveConstant supportConstant : ℝ}
(hprimitive : 0 < primitiveConstant)
(hsupport : 0 < supportConstant)
(h : rho.R324PaperFixedSlotWeightedMajorantBound primitiveConstant supportConstant)
:
∃ (K : ℝ), 0 < K ∧ rho.R324RefinedQuadOperatorSlotCollapseBound K
The complete weighted-majorant producer at one fixed slot implies the literal operator-slot collapse bound used by the Step 4 capstone.