IndisputableMonolith.Acoustics.UltrasoundTherapyFromJCost
This module applies the J-cost band template to acoustics by defining ultrasound modalities and their therapy certificates. Researchers extending Recognition Science to medical acoustics would cite it when building domain-specific certs in the master chain. The module structures its content as a sequence of definitions that instantiate the six-clause J-cost-on-ratio template from CanonicalJBand.
claimLet $J$ be the J-cost function. The module defines UltrasoundModality as an acoustic ratio application satisfying $J(1)=0$ and $J(x)≥0$ for $x>0$, together with UltrasoundTherapyCert as the corresponding certificate object and ultrasoundModalityCount as its enumeration.
background
The module imports CanonicalJBand, whose doc-comment states that the six-clause J-cost-on-ratio template is used across the master cert chain for B-tier whole-science openings and Plan v7 domain certs. Each such cert proves matched-zero: J(1)=0 and nonneg: J(x)≥0 for x>0. It introduces domain objects for acoustics, specifically ultrasound therapy derived from J-cost ratios. The local theoretical setting is the Recognition Science application of the J-function to acoustic phenomena within the forcing chain and RCL framework.
proof idea
This is a definition module, no proofs. It defines UltrasoundModality, ultrasoundModalityCount, UltrasoundTherapyCert, and ultrasoundTherapyCert by direct instantiation of the CanonicalJBand template clauses to the acoustics domain.
why it matters in Recognition Science
The module contributes to the master cert chain by supplying the acoustics-domain instantiation for ultrasound therapy. It feeds the parent B-tier whole-science openings and Plan v7 domain certs referenced in the CanonicalJBand doc-comment. It touches the application of T5 J-uniqueness to practical acoustic ratios.
scope and limits
- Does not derive specific ultrasound frequencies or intensities.
- Does not establish empirical clinical outcomes for therapy.
- Does not prove connections to other physical domains.
- Does not claim completeness of the modality enumeration.