IndisputableMonolith.NumberTheory.ProxyPhysicalizationBridge
This module completes the sensor-level bridge by establishing that a bounded T1-defect in the realizability proxy from the concrete Euler-ledger package implies PhysicallyExists for the sensor. Researchers linking number theory to the Recognition Science ontology would cite it to close the final gap between DefectSensor and physical existence. The module structure composes the DirectedEulerLedger and ZetaLedgerBridge imports to deliver the required implications.
claimIf the T1-defect of the realizability proxy is bounded, then the sensor satisfies PhysicallyExists.
background
The module operates in the NumberTheory domain. It imports DirectedEulerLedger, which packages finite concrete Euler ledgers into a directed system over finite prime supports and connects that system to ontology-side interfaces from UnifiedRH.lean. It also imports ZetaLedgerBridge, which closes the formalization gap between the abstract DefectSensor / PhysicallyExists framework and Mathlib's riemannZeta : ℂ → ℂ.
proof idea
This is a definition module, no proofs. The overall structure assembles the bridge via sibling declarations that encode the implication from bounded T1-defect to PhysicallyExists.
why it matters in Recognition Science
This module feeds the parent theorems establishing PhysicallyExists from number-theoretic conditions in the Recognition framework. It fills the remaining sensor-level bridge cited in its doc-comment, connecting the Euler-ledger ontology package to the DefectSensor interface from UnifiedRH.lean.
scope and limits
- Does not prove the Riemann hypothesis.
- Does not compute explicit numerical values for any T1-defect.
- Does not extend the bridge beyond finite prime supports.
- Does not address sensors outside the Euler-ledger ontology package.
depends on (2)
declarations in this module (13)
-
def
ProxyPhysicalizationBridge -
theorem
physicallyExists_of_ProxyPhysicalizationBridge -
def
ZeroInducedProxyPhysicalizationBridge -
theorem
rsPhysicalThesis_of_ZeroInducedProxyPhysicalizationBridge -
theorem
rh_from_ZeroInducedProxyPhysicalizationBridge -
theorem
proxyPhysicalizationBridge_iff_physicallyExists -
theorem
proxyPhysicalizationBridge_iff_charge_zero -
theorem
proxyPhysicalizationBridge_of_charge_zero -
theorem
not_proxyPhysicalizationBridge_of_charge_ne_zero -
theorem
zeroInducedBridge_iff_rsPhysicalThesis -
theorem
zeroInducedBridge_iff_no_strip_zeros -
theorem
zeroInducedBridge_of_rh -
theorem
zeroInducedBridge_iff_rh