λEnter Calculus CompanionRegistered manuscripts, kept distinct

Manuscript VI@1 · VI.tex · figure · b5b60afb

Two maps and their compatibility

The problem and the corrected logical order › One proposed construction, two different maps · lines 195–222

VI@1#fig:VI-two-maps

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metric / coordinatescalarswitching defectconditional quantumsupport / uncompleted
Classical descent through order κ²: proved
JT\mathcal J_T
XγX_\gamma
YγY_\gamma
ϕ∘Yγ\phi\circ Y_\gamma
Of\mathcal O_f
not supplied automatically by retarded inverses
Specified unchanged-free-input identification
(h,ϕ0)(h,\phi_0)
−GRQghϕ0-G_{\mathrm R}\mathsf Q_{gh}\phi_0
−GRQghϕ0−Xw[h]ϕ0-G_{\mathrm R}\mathsf Q_{gh}\phi_0-X_{w[h]}\phi_0

Required logical order, uncompleted:

switch-compatible gauge realization
renormalized products
complete response catalogue
certificate

Two maps and their compatibility problem. The geometric construction acts on solution jets and descends under the named formal gauge group. The specified switched assignment acts on unchanged free scalar inputs and does not automatically implement that coefficient action. Gauge compatibility must be addressed before a quantum response separator is interpreted as gauge invariant.

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