IndisputableMonolith.Physics.QuantumMolecularDesignDepthC4
This module integrates molecular energy levels and quantum gate structures from Recognition Science to define quantum molecular design at depth C4. Researchers in RS-derived quantum chemistry would cite it when linking phi-ladder molecular states to J-cost-minimizing quantum operations. It is a definition module containing state class enumerations and a depth certificate with no internal proofs.
claimDefines molecular quantum state classes of cardinality 25 under configDim $D=5$ with phi-ladder ratios, together with a QuantumMolecularDepthCert for design at level C4, where five energy levels and five gate types each equal $D=5$ and Pauli elements number $2^D=8$.
background
The module imports MolecularPhysicsFromRS, which states five canonical molecular energy levels (electronic, vibrational, rotational, translational, spin) equal configDim $D=5$, each a phi-rung of recognition energy with adjacent ratios $\phi$. It also imports QuantumComputingDepthFromRS, which states five canonical quantum gate types equal $D=5$, with quantum computation as sequences of J-cost-minimizing recognition operations and eight single-qubit Pauli elements equal to $2^D=8$.
Sibling definitions in the module include molecularQuantumStateClasses, molecularQuantumStateClasses_25, twoPowerFour_lt_stateClasses, and QuantumMolecularDepthCert, which enumerate state classes and certify depth C4 by combining the two upstream settings.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the quantum molecular design depth C4 that feeds the Recognition Science framework for unified derivations, linking the phi-ladder structure and configDim $D=5$ from the forcing chain T5-T8 to molecular and quantum computation models.
scope and limits
- Does not derive explicit spectra or binding energies for named molecules.
- Does not implement gate sequences or numerical J-cost minimization.
- Does not address experimental measurement or decoherence effects.
- Does not extend beyond configDim $D=5$ or the phi-ladder ratios.