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A Geometric Framework for Deconstructing Mass and Quantum Interference

Andrii Stafeiev

Published Mar 31, 2026• 0 citations
Publisher
DOI
10.5281/zenodo.19352030

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The contemporary model of (s,p,d,f) orbitals and electron shells is intrinsically rooted in a probabilistic quantum mechanical framework, governed by the Heisenberg Uncertainty Principle and the Schr¨odinger wave equation. This paper proposes a radical paradigm shift: the universe operates not on statistical probabilities but on an absolute, deterministic geometric framework capable of simultaneously defining position and momentum. Utilizing the Rough Operator Algebra (ROA) framework, this paper mathematically deconstructs four core pillars of quantum mechanics—the uncertainty principle, the Schr¨odinger equation, the orbital shell model, and the periodic table—and redefines them as macroscopic geometric projections driven by topological phase-locking and non-commutative symmetry breaking.
This paper explores the potential of dynamic geometry structures to revolutionize geometric reconstruction and decomposition, leveraging the power of quantum computation. We introduce a novel algorithm, "Dynamic Geometry Deconstruction & Quantum Computation," which utilizes dynamically adjusted geometric structures to achieve complex geometry reconstruction. Traditional methods often rely on static or fixed geometries, but this approach offers unprecedented flexibility and adaptability. The core mechanism involves the continuous evolution of geometric structures guided by quantum computations, allowing for the deconstruction and reconstruction of intricate geometric forms. The paper details the algorithm's design, its quantum computational components, and preliminary results demonstrating its efficacy in reconstructing complex geometric datasets. We discuss the benefits of this approach, particularly in handling non-standard geometries and achieving high-fidelity reconstructions.