Manuscript Em01-F@3 · Em01-F-v3.tex · section · 225e59af
Release boundary and later microlocal obligations
Release boundary and later microlocal obligations · lines 3044–3091
The results proved for this application are:
consistent action, stress, inverse, coupling, and component normalizations;
explicit cubic density and evaluated mixed source;
an identified density derivative and advanced root;
explicit crossed kernels in the actual relative slots;
the marked insertion and its seven distributional kernels;
exact seed transposition and the positive-scale audit ledger;
exact localized crossed-line and tensor regrouping;
the conservative complete smoothing bound.
The weighted comparison panel is not a weighted successor theorem. No inherited observable identity, characteristic raw decision, finite part, regulator-independence result, or quantum admission is released.
A later ordinary-product agreement theorem would need its actual localized wavefront cones and nonopposition hypotheses. Multiplication is hypocontinuous in the normal topology under the hypotheses of BDH (Theorem 6.1). Proper pushforward has separate support and continuity requirements BDH (Theorem 6.3). Neither result is applied here to an unverified full product at the characteristic set.
A weighted rescaling is not automatically the Euler normal action required by a submanifold extension framework. For instance,
has transverse -weight , not one. An application of Dang (Section 1) needs its own scaling and microlocal verification.
Even a future strong finite-part limit would not alone give normal-topology convergence or a wavefront theorem. Uniform localized Fourier estimates remain necessary. Authorization, normalization, global overlap agreement, and quantum admission are later independent questions.
Displayed formulas in this passage
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