What question did this study set out to answer?

The aim is to present an effective informational interpretation of the hydrogen atom's properties and relationships between energy, scale, and entropy.

June 14, 2026Open Access

A Coulomb Invariant of the Hydrogen Atom and an Effective Entropic Scale Proportional to πα

View Full Paper

Ask AI

Bookmark

The aim is to present an effective informational interpretation of the hydrogen atom's properties and relationships between energy, scale, and entropy.
Combined Bohr energy and radial scalings with standard quantum-mechanical degeneracy of hydrogen levels.
Analyzed the product of Bohr radial scale and binding energy to derive the Coulomb invariant.
Introduced an effective entropy-like dimensionless scale derived from electromagnetic binding energy.
The Coulomb invariant R_n|E_n| is shown to be independent of n, equating to pi alpha hbar c / 2.
A coarse-grained entropy S_n^{eff} is defined as k_B ln(2n^2), reflecting quantum label multiplicity.
The relationship between quantum number n, spatial scale, and binding energy consolidates informational capacity.

Discussion

No takes yet. Share an insight, caveat, or question.

Implication

This work demonstrates an effective entropic scale in hydrogen atoms by analyzing binding energy and quantum degeneracy.

Cite This Study

Ricardo Adonis Caraccioli Abrego (2026) studied this question.

synapsesocial.com/papers/6a2e46dbb1cc60ccdea8b7e5 https://doi.org/10.5281/zenodo.20672866

View Full Paper

Ask AI

Bookmark

A Coulomb Invariant of the Hydrogen Atom and an Effective Entropic Scale Proportional to πα

Key Points

Discussion

Implication

Cite This Study

A Coulomb Invariant of the Hydrogen Atom and an Effective Entropic Scale Proportional to πα

Key Points

Discussion

Implication

Cite This Study

Also Consider

Also Consider