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module module high

IndisputableMonolith.Physics.MolecularPhysicsFromRS

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This module defines the molecular physics objects derived from Recognition Science, centering on five discrete energy levels crossed with binary polarization to produce a total of ten states. Researchers working on quantum molecular design cite it for the state enumeration that supports later addressing-depth arguments. The module consists of definitions and direct counts anchored in the imported constants, with no complex derivations.

claimThe total number of molecular states is $5$ energy levels times $2$ polarization states, equaling $10$.

background

Recognition Science anchors all quantities to the fundamental time quantum supplied by the Constants module, where the RS-native tick equals one. The present module imports this base and introduces sibling definitions that construct the molecular energy spectrum: MolecularEnergyLevel labels the discrete rungs, molecularEnergyCount enumerates them, energyAtRung evaluates the energy at a given rung, and energyRatio compares adjacent levels. Polarization enters as an independent binary factor, so the product of energy count and polarization multiplicity yields the total state number.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the five-level energy count and total-state figure that the downstream QuantumMolecularDesignDepthC4 module uses to establish that twenty-five prepared state classes fit inside a five-bit address space. It thereby completes the molecular-physics foundation required for the C4 claim that five two-qubit layers suffice to index all RS-preparable molecular classes.

scope and limits

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (8)