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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Discrete Wave Mechanics: Deriving the Schr¨odinger Equation and the Mass Limit of Quantum Superposition from Vacuum Lattice Sintering

Authors: Kulkarni, Raghu;

Discrete Wave Mechanics: Deriving the Schr¨odinger Equation and the Mass Limit of Quantum Superposition from Vacuum Lattice Sintering

Abstract

Standard Quantum Mechanics treats the complex wavefunction and its first-order time evo- lution as fundamental postulates. Expanding on the Selection-Stitch Model (SSM), we propose that these properties are emergent consequences of a discrete, crystallized vacuum. We define a “particle” as a stable K = 13 topological defect within a K = 12 Face-Centered Cubic (FCC) lattice. We model this vacuum as a Chiral Micropolar Continuum, where nodes possess both translational and rotational degrees of freedom. We explicitly derive the isotropic Laplacian from the 12 nearest-neighbor forces and introduce a novel Chiral Veloc- ity Coupling arising from the Berry connection of the defect’s topology. We demonstrate that this coupling naturally generates the complex unit i, the global U(1) symmetry, and the exact Schr¨odinger equation in the non-relativistic limit. Finally, using the geometrically renormalized lattice spacing (a ≈0.77lP ) derived in previous work, we predict a specific mass limit for quantum coherence at mmax ≈28µg. This distinguishing prediction identifies the physical mechanism for the transition from quantum superposition to classical gravity as a geometric resolution limit of the vacuum.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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