Manuscript VII-H@1 · VII-H.tex · section · d20d2a9f

Final theorem and interpretation

Final theorem and interpretation · lines 1780–1808

For this benchmark the programme is therefore realized as

R^{\circ} = \frac{ℏ}{4 π ^{3}} Θ (t) δ^{'} (t^{2} - ∣ x ∣^{2}), R_{μ} = \frac{ℏ}{64 π ^{3}} □^{2} [1_{{t > 0, s > 0}} lo g (μ^{2} s)], R^{P} - R^{Q} = ℏ (c_{P} - c_{Q}) δ_{0}, F_{*} (0) = 0, ⟨ R^{P}, F_{*} ⟩ = - \frac{ℏ t _{0}}{2 π ^{2}} \neq = 0.

The surviving signal is not obtained by choosing a preferred normalization. It is obtained by classifying the entire permitted difference space and testing outside it.

For a later interacting or gravitational model, the same quotient logic becomes available only after its response and its complete physically matched ambiguity have been constructed. Neither a finite graph coefficient, a selected extension, a classical shell identity, nor a finite readout model substitutes for those tasks.

Displayed formulas in this passage

unlabeled · line 1783
$R^{\circ} = \frac{ℏ}{4 π ^{3}} Θ (t) δ^{'} (t^{2} - ∣ x ∣^{2}), R_{μ} = \frac{ℏ}{64 π ^{3}} □^{2} [1_{{t > 0, s > 0}} lo g (μ^{2} s)], R^{P} - R^{Q} = ℏ (c_{P} - c_{Q}) δ_{0}, F_{*} (0) = 0, ⟨ R^{P}, F_{*} ⟩ = - \frac{ℏ t _{0}}{2 π ^{2}} \neq = 0.$

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theorem: Theorem: VII-H release