Unified Wave Cosmological Model (UWCM): Universal Mass Scale from Electron to Universe. Generalization of the Geometric Basis of UWCM through the Hierarchy of Connection Density.

Q: What does this research mean for the field?

A generalized mass quantization formula based on a discrete hierarchy of connection densities provides a unified explanation for the mass spectrum of objects from electrons to galaxy clusters without the need for dark matter. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.CHALLENGES_CONSENSUS.

Gleb Slavutskiy

doi:10.5281/zenodo.22041982

August 22, 2026Open Access

Unified Wave Cosmological Model (UWCM): Universal Mass Scale from Electron to Universe. Generalization of the Geometric Basis of UWCM through the Hierarchy of Connection Density.

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Key Points

To generalize the universal mass quantization formula in the Unified Wave Cosmological Model to account for mass hierarchies across all physical scales from fundamental particles to galaxy clusters.
Derived a generalized scaling relationship incorporating a discrete connection density parameter, delta equals 159 times 10^(n-2), based on binary graph topology.
Evaluated empirical mass distributions across electrons, nucleons, molecules, white dwarfs, stars, and galaxy clusters against discrete topological hierarchy levels.
Established a discrete scale where integer levels correspond to distinct structural classes, including white dwarfs (delta = 0.158), planets, stars, and galaxies (delta = 1.59), and nuclei and molecules (delta = 159).
Demonstrated that the mutual primality of 2^7 and 31 provides dynamic stability to matter by suppressing cross-scale quantum tunneling.
Identified delta = 1.59 as a fundamental invariant arising from golden ratio resonance and graph topology that accounts for cosmic mass spectra without dark matter particles.

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Implication

Theoretical analysis reveals a discrete connection density hierarchy across physical scales from electrons to galaxy clusters, suggesting a universal mass quantization law without dark matter.

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Gleb Slavutskiy (2026) studied this question.

synapsesocial.com/papers/6a8c00c1bca056c88e6dfb39 https://doi.org/10.5281/zenodo.22041982

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Unified Wave Cosmological Model (UWCM): Universal Mass Scale from Electron to Universe. Generalization of the Geometric Basis of UWCM through the Hierarchy of Connection Density.

Key Points

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Implication

Abstract

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Unified Wave Cosmological Model (UWCM): Universal Mass Scale from Electron to Universe. Generalization of the Geometric Basis of UWCM through the Hierarchy of Connection Density.

Key Points

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