IndisputableMonolith.NumberTheory.ProxyPhysicalizationBridge
This module supplies the final sensor-level bridge showing that a bounded T1-defect on the realizability proxy constructed from the concrete Euler-ledger package implies PhysicallyExists for the same sensor. Number theorists and ontologists working on the Recognition Science physicalization interface would cite it to close the ledger-to-existence gap. The module achieves the bridge via a collection of definitions and implication theorems that link the proxy directly to PhysicallyExists and the rsPhysicalThesis.
claim$T_1$-defect bounded on realizability proxy from directed Euler ledger ontology package implies PhysicallyExists for the sensor.
background
The module sits at the end of the number-theory-to-ontology pipeline. 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, and ZetaLedgerBridge, which closes the formalization gap between the abstract DefectSensor/PhysicallyExists framework and Mathlib's riemannZeta. The local theoretical setting is the remaining sensor-level bridge required once the Euler-ledger and zeta-ledger pieces are in place.
proof idea
This is a definition module whose argument consists of a central predicate ProxyPhysicalizationBridge together with a family of implication and equivalence theorems (physicallyExists_of_ProxyPhysicalizationBridge, proxyPhysicalizationBridge_iff_physicallyExists, zeroInducedBridge_iff_rsPhysicalThesis and their siblings) that discharge the bounded-defect implication.
why it matters in Recognition Science
The module completes the sensor-level bridge that feeds the main PhysicallyExists claims and the rsPhysicalThesis. It supplies the concrete link from the Euler-ledger ontology package to physical existence, thereby closing the formalization path from number-theoretic ledgers to the Recognition Science physical thesis.
scope and limits
- Does not prove the Riemann Hypothesis.
- Does not compute numerical values of T1-defects.
- Does not extend the bridge to infinite prime supports.
- Does not address non-Eulerian ledger constructions.
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