Manuscript IX-D@3 · IX-D-v3.tex · section · 3ad4586e

D3: the constructed scalar and the causal separation

D3: the constructed scalar and the causal separation · lines 1236–1258

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The map is not proposed as a time-ordered construction satisfying . Its failure is the explicit witness that a causal axiom cannot be inferred from the free ones. The lemma neither changes the old products nor proves an obstruction to a future causal extension.

Observation operations remain numerical:

The inherited descendant estimate has test-order loss . It does not identify observation differentiation with configuration differentiation or open new functional slots.

Assigning a causal cutoff to would still require new product, descent, admission, and overlap proofs. No such assignment is made here.

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