IndisputableMonolith.Chemistry.PhotoelectronSpectroscopy
Recognition Science packaging of X-ray photoelectron spectroscopy (XPS) observables. Introduces a domain cost on binding-energy data, a positive canonical threshold, and an XPSBindingCert structure that packages certificate witnesses. Chemists or RS auditors matching predicted binding ladders to measured XPS peaks would cite it. The module is largely definitional: evaluation, nonnegativity, and positivity lemmas around Cost and Constants.
claimThe module defines a domain cost $C$ on photoelectron binding data, proves $C \ge 0$ and an evaluation identity at a reference point, fixes a canonical threshold $\tau > 0$, and packages an XPS binding certificate (with an inhabited default witness) tying those facts together.
background
Photoelectron spectroscopy (PES/XPS) measures electron binding energies by ejecting core or valence electrons with monochromatic photons and recording kinetic energies via $E_b = h\nu - E_k - \phi$. In Recognition Science the same observables are expressed in the native cost language of the monolith rather than as free empirical parameters.
The module imports Constants (RS-native units, including the fundamental tick $\tau_0$) and Cost (the J-cost calculus). Sibling definitions introduce domainCost with an evaluation identity and nonnegativity, a strictly positive canonicalThreshold, and the certificate type XPSBindingCert together with a default inhabited witness. The local setting is chemistry-side bookkeeping: bind measured peak positions to the cost/threshold interface used elsewhere in the framework.
proof idea
Definition-and-certificate module, not a deep derivation. The domain cost is introduced with a one-point evaluation lemma and a nonnegativity proof against the imported Cost layer. The canonical threshold is a positive constant (positivity lemma). XPSBindingCert packages those facts; a default certificate and an inhabited instance supply a usable witness. No forcing-chain or RCL argument is carried here; structure is definitional scaffolding on top of Constants and Cost.
why it matters in Recognition Science
Supplies the chemistry-side certificate interface for XPS binding comparisons inside the RS monolith. No downstream used_by edges are recorded, so this is presently a leaf packaging layer rather than a step in the T0–T8 forcing chain. It translates laboratory binding energies into the J-cost and threshold language shared with the rest of the framework, so later mass-ladder or spectroscopy results can cite a uniform certificate shape instead of ad-hoc inequalities. Does not itself close any open forcing or alpha-band obligation.
scope and limits
- Does not derive XPS cross-sections or lineshapes from first principles.
- Does not prove numerical match to NIST or other binding-energy tables.
- Does not invoke eight-tick octave, D=3, or RCL identities.
- Does not model Auger cascades, charging shifts, or work-function corrections.
- Does not claim a unique physical identification of domainCost with laboratory $E_b$.