Pith. sign in
def

row_hartree_over_rest

definition
show as:
module
IndisputableMonolith.Constants.HartreeRydbergScoreCard
domain
Constants
line
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plain-language theorem explainer

The definition supplies the dimensionless Hartree to electron-rest-energy ratio as the square of the fine-structure constant. Atomic physicists verifying RS predictions for atomic energy scales against CODATA would cite this row when assembling the scorecard. It is introduced by a direct one-line assignment that pulls alpha from the upstream Alpha module.

Claim. $E_h/(m_e c^2)=α^2$

background

The HartreeRydbergScoreCard module records three unit-free ratios from atomic physics: Hartree energy over rest energy (P1-C04), Rydberg energy over rest energy (P1-C02), and Bohr radius over reduced Compton wavelength (P1-C03). All three are expressed using the RS-certified inverse fine-structure constant alphaInv restricted to the interval (137.030, 137.039). The upstream alpha definition supplies alpha := 1/alphaInv, so the Hartree ratio collapses to alpha squared.

proof idea

The declaration is a one-line definition that directly sets the Hartree ratio equal to alpha squared, drawing alpha from the imported Alpha module.

why it matters

It supplies the hartree_closed field inside the HartreeRydbergScoreCardCert structure that bundles the closed expressions and interval bounds for the full scorecard. The definition fills the P1-C04 slot in the physical derivation plan and sits downstream of the alpha definition while feeding the bracket theorems that place the ratio inside (5.32e-5, 5.33e-5).

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