IndisputableMonolith.Chemistry.RNATargetedCompounds
Models discrete RNA conformational states as points on the φ-rung ladder and records their Recognition cost. Chemists and biophysicists working in the RS chemistry layer cite it for monotone cost bounds and the zero-cost ground state. The module packages definitions plus short monotonicity and minimality lemmas, closed by a certificate wrapper.
claimAn RNA conformational state is a discrete index $r$ on the $\varphi$-rung ladder. The associated Recognition cost $C(r)$ is monotone in the rung, vanishes at a distinguished zero state, and that zero state is a global cost minimum. A certificate packages these facts for downstream chemistry claims about RNA-targeted compounds.
background
Recognition Science places molecular and conformational degrees of freedom on the same $\varphi$-ladder used for masses and coupling constants. The cost functional is the unique $J$-cost forced by the Recognition Composition Law (T5): $J(x)=(x+x^{-1})/2-1$. Imports pull in RS-native constants (including the tick $\tau_0$) and the Cost module that supplies $J$ and related inequalities.
This chemistry module treats an RNA conformation as a discrete rung index rather than a continuous dihedral coordinate. The local objects are a state type, a map from rung to state, and the induced cost. The theoretical setting is discrete conformational thermodynamics under the RS cost, not continuum MD or empirical force fields.
proof idea
Definition-heavy module with short supporting lemmas. States and the rung map are introduced directly. Monotonicity of cost along the rung, vanishing of cost at the zero state, and minimality of that zero state are proved by applying Cost-module inequalities to the discrete index. A certificate structure aggregates the lemmas into a single named bundle for import by later chemistry results.
why it matters in Recognition Science
Gives the chemistry layer a discrete, cost-graded model of RNA conformations compatible with the global $\varphi$-ladder and $J$-cost. Downstream pages can cite the certificate when arguing selectivity or binding preference for RNA-targeted compounds without leaving the RS unit system. No external used-by edges are recorded yet; the module is an entry point for later compound-level claims rather than a leaf of the forcing chain (T0–T8).
scope and limits
- Does not derive continuum RNA folding free energies or secondary-structure algorithms.
- Does not identify specific drug molecules or binding poses.
- Does not prove biological activity; only discrete cost inequalities on rung indices.
- Does not connect to experimental melting curves or kinetic rates.
- Does not alter fundamental constants or the forcing chain T0–T8.