IndisputableMonolith.Physics.QuantumTunnelingFromJCost
The module applies the six-clause J-cost template to certify quantum tunneling. Foundational physicists deriving quantum effects from recognition cost would cite it. The module structures its content around the reusable template from the imported CanonicalJBand to define the regime and its certificate.
claimThe J-cost on ratios yields the tunneling regime with the certificate that $J(1)=0$ and $J(x)\geq 0$ for $x>0$.
background
This module operates in the Recognition Science framework deriving physics from the J functional equation. It imports CanonicalJBand, whose doc-comment states the six-clause J-cost-on-ratio template is used across the master cert chain. Each domain cert proves matched-zero: J(1) = 0 and nonneg: J(x) ≥ 0 for x > 0. The module introduces the tunneling regime, regime count, and quantum tunneling certificate as siblings.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module contributes the quantum tunneling domain certification to the master cert chain. It supports the B-tier whole-science openings and the Plan v7 forty-something domain certs, as described in the upstream CanonicalJBand doc-comment: 'The six-clause J-cost-on-ratio template is used across the master cert chain (B-tier whole-science openings, the Plan v7 forty-something domain certs).'
scope and limits
- Does not derive explicit tunneling probabilities or amplitudes.
- Does not address specific barrier potentials or experimental parameters.