Manuscript Oai290-A@1 · Oai290-A.tex · proposition · 7c6e104a

Proposition: Geometry-class exclusion is its own test

Geometry requires an additional certificate · lines 1909–1929 · proof included or linked

Oai290-A@1#prop:geometrytest

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Suppose a confidence region covers the true complete operational law with probability at least . Let include all laws permitted by the declared geometric model and its joint nuisance allowances. Reject that model only if

The probability of rejecting a true member of that declared class is at most . Nonempty intersection establishes consistency, not uniqueness or spacetime emergence.

Proof. If the model is true, its actual law belongs to . On the confidence-coverage event it also belongs to , preventing rejection.

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