PhysicalSensor
plain-language theorem explainer
PhysicalSensor is the subtype of DefectSensor consisting of those sensors whose Euler ledger scalar state has uniformly bounded T1 defect. Researchers deriving the Riemann Hypothesis from Recognition Science cite it as the formal object for physically realizable recognition events on the ledger. The definition is a direct subtype construction that encodes the Law of Existence criterion with no added axioms.
Claim. Let DefectSensor be the type of sensors equipped with charge and cost scalar. Define PhysicalSensor as the subtype $PhysicalSensor := { s : DefectSensor | exists K in R, forall N in N, defect(eulerLedgerScalarState(s, N)) <= K }$, where the predicate selects sensors with bounded T1 defect.
background
The Unified RH module replaces prior total-cost bounds with a T1-bounded realizability architecture for the Euler carrier. PhysicallyExists asserts that a sensor's cost scalar, realized via eulerLedgerScalarState, satisfies a uniform T1 defect bound across all ledger steps N. This criterion comes from the Law of Existence and selects actual physical recognition events.
proof idea
This is a one-line subtype definition that directly applies the PhysicallyExists predicate to DefectSensor. No lemmas or tactics appear in the body; the construction itself encodes the bounded T1 defect condition drawn from the Law of Existence.
why it matters
PhysicalSensor is the central object feeding the ontological_dichotomy theorem and its corollary physical_sensor_charge_zero, which states every physically existing sensor has charge zero. It completes the T1-Bounded Realizability component in the unification chain, linking the Law of Existence (T1) to zero topological charge for realizable events and supporting the RS derivation of RH. It touches the remaining external bridge hypothesis for boundary transport.
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