charge_zero_unconditional
plain-language theorem explainer
Every physically existing sensor has zero charge. Researchers completing the Recognition Science derivation of the Riemann Hypothesis cite this unconditional step. The proof is a direct term application of the ontological dichotomy that equates physical existence with zero charge.
Claim. For any physically existing sensor $ps$, the charge of $ps$ equals zero.
background
PhysicalSensor is the subtype of DefectSensors whose T1 defect remains bounded, corresponding to actual recognition events on the physical ledger. The module places this result inside the five-step RH certificate chain: law of existence, annular coercivity, ontological dichotomy, zeta-ledger bridge, and RS physical thesis. The upstream result states that every physically existing sensor has charge zero and identifies this as the core RS result.
proof idea
The proof is a one-line wrapper that applies the physical_sensor_charge_zero theorem from the UnifiedRH module.
why it matters
This theorem supplies the ontological dichotomy step in the RH certificate chain. It feeds the argument that any zeta zero in the critical strip would require a non-physical sensor, yielding a contradiction under the RS physical thesis. The result rests on the T0-T8 forcing chain and the Recognition Composition Law. The module shows the full chain depends only on the three standard Lean axioms with zero sorry.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.