What question did this study set out to answer?

The central aim is to explore atomic electron shells as Lagrangian equilibrium points within the context of Push-theory. The work proposes that chemical structures derive from nuclear physics principles.

March 25, 2026Open Access

Atomic Shells as Lagrangian Equilibrium Points

Key Points

The central aim is to explore atomic electron shells as Lagrangian equilibrium points within the context of Push-theory. The work proposes that chemical structures derive from nuclear physics principles.
Integrative theoretical framework based on Push-theory principles.
Analysis of pressure gradients within atomic structures.
Identification of chemistries via nuclear topology without additional axioms.
Discrete atomic shells correspond to Lagrangian equilibrium points in the ZPE-flux field.
Covalent bonds act as shared saddle points between adjacent baryonic cores.
The framework derives the periodic table structure from nuclear principles, establishing a geometric foundation for chemistry.

Abstract

A Mechanical Bridge Between Nuclear Physics and Chemistry in Push-Theory This paper identifies atomic electron shells as Lagrangian equilibrium points in the ZPE-flux field of Push-theory (SOTW). The discrete shells of an atom arise where the inward pressure gradient of the baryonic Venturi-suction (the 8-Möbius proton) is exactly balanced by the outward pressure gradient of the ambient ZPE-Matrix wind. The n² progression of shell radii (0.53 Å, 2.12 Å, 4.77 Å...) corresponds to the stable harmonic standing-wave nodes produced by the 8-Möbius core in the surrounding ZPE-flux. Covalent chemical bonds are identified as shared Lagrangian saddle points between two adjacent baryonic cores, where the tetrahedral electron flux-pump occupies a stable resonance zone between two Venturi fields. This framework derives the entire architecture of the periodic table and molecular geometry from nuclear topology alone, establishing that all of chemistry is a necessary geometric consequence of nuclear physics. No additional axioms, force carriers, or free parameters are required beyond those already present in the three axioms of Push-theory.

Atomic Shells as Lagrangian Equilibrium Points

Key Points

Abstract

Cite This Study