Published February 18, 2026 | Version v3
Working paper Open

Real-Time Visualization of Multi-Electron Atoms: Oxygen's Complete 8-Electron Orbital Structure via NM-SRN v2.0 AGI QSC

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Abstract

We present the first real-time interactive visualization of a complete multi-electron atomic system, demonstrating simultaneous rendering of all eight electrons in oxygen (O, Z=8) with O(1) constant-time computational complexity. Using the Neural-Matrix Synaptic Resonance Network (NM-SRN v2.0 AGI QSC) architecture, we achieve visualization of overlapping 1s², 2s², and 2p⁴ orbitals at interactive frame rates (58 FPS) with 500,000 particles on consumer hardware. The system calculates ionization energies with 0.015% error compared to experimental values (13.62 eV calculated vs. 13.618 eV experimental), provides real-time radial probability distributions for all three orbital types, and maintains complete computational provenance through RFC3339 timestamped logging with UUID session tracking. Unlike traditional multi-electron visualization approaches requiring extensive pre-computation or approximate methods, our framework enables exploration of arbitrary electron configurations with zero latency for parameter updates. The characteristic "layered cloud" appearance arising from orbital superposition—colloquially described as "marshmallow jelly" by researchers—provides intuitive visual understanding of multi-electron quantum structure. This work establishes that the many-body quantum visualization problem, previously considered computationally intractable for real-time applications, can be solved definitively through appropriate architectural approaches.

Keywords: Multi-electron atoms, oxygen, orbital visualization, quantum mechanics, real-time rendering, many-body problem, definitive computing, Hartree-Fock approximation

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