What question did this study set out to answer?

To propose a new atomic model integrating geometric aspects for describing atomic elements, particularly focusing on hydrogen deformation.

July 5, 2026Open Access

A Mirror-Depth Atomic Model for Periodic-Table Closure: BASIC5 Geometry, Discrete A/B Origin Bounds, Readout Firewall, and Energy-Distance Scale Separation

Key Points

To propose a new atomic model integrating geometric aspects for describing atomic elements, particularly focusing on hydrogen deformation.
Developed a theoretical framework detailing a single-circumference element-wave grammar.
Included reproducibility package with manuscript, source code, and audit documentation.
Clarified the 12-seat shell-board logic and boundaries for element definitions.
Introduced charge-radius symmetric locking for atomic particles.
Established clear distinctions in deformation regimes for hydrogen and other elements.
Provided an extensive reproducibility package supporting theoretical claims.

Abstract

First public release of a CRGE/JS-SH standalone manuscript and reproducibility package proposing a single-circumference element-wave grammar for prime hydrogen deformation, charge-radius symmetric locking, 118-element mass/ionization ledgers, spike-pit shell topology, and the native 12-seat board. This record contains Version 12 of a standalone theoretical manuscript and reproducibility package for the CRGE/JS-SH element-wave framework. The work proposes a single-circumference upstream geometric grammar for element mass, ionization, prime hydrogen deformation, charge-radius symmetric locking, and higher-shell spike-pit topology. The manuscript treats hydrogen-1 as a smooth prime cap/dimple deformation of an undeformed 5: 5 neutral shell, rather than as a conventional multi-particle assembly. The electron readout is assigned to the outward convex cap or outer antinode, the proton readout to the inward concave dimple or pit bottom, and the neutron/neutral readout to the zero-amplitude node surface at Rₙ = R₀. The geometric center is explicitly not identified with the neutron. This version also adds a native 12-seat shell-board clarification. The integers 12, 144 = 12², 1/144, 9/12, and 12 (12+3) =180 are treated as predeclared shell-seat, square microseat, projected occupation, and cap/dimple microseat quantities, not as post-hoc numerical fitting knobs. The d=1 hydrogen case is separated from the d>1 shell-extension regime: d=1 is the equality throat Rₑ = Rₙ = Rₚ = R₀, while d>1 gives Rₚ < Rₙ < Rₑ. The package includes the full manuscript PDF and TEX source, reproducibility code, output logs, tables, selected figure assets, build report, manifest, and SHA256 checksum file. The code audits include figure-symbol consistency, spike-pit topology locking, native 12-seat board logic, and reviewer-boundary clarification. The manuscript maintains explicit claim boundaries: the framework is presented as a discrete origin-layer grammar and internal audit structure, not as a completed replacement for QCD, electroweak theory, general relativity, or an internally closed derivation of absolute MeV/amu units. ============================== UPDATE CRGEElementWaveV12Manuscript CRGEElementWaveV13SUBMISSIONREADYManuscript CRGEElementWaveV24MIRRORDEPTHATOMICMODELManuscript

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