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September 8, 2026Quantum ReportsOpen Access

Dark Matter as Incomplete Crystallization: A Geometric Construction on the Octahedral Void of the FCC Vacuum Lattice

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Authors

RKRaghu Kulkarni

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Overview

Theoretical modeling identifies octahedral vacuum lattice defects as dark matter candidates, predicting a 1.719 GeV particle mass and a 1.591 GeV annihilation line.

Key Points

  • To investigate whether octahedral interstitial voids within an FCC vacuum lattice can geometrically explain dark matter properties, mass, and annihilation signatures in the Selection-Stitch Model.
  • Analyzed the symmetry and bonded subgraph (complete tripartite graph K2,2,2) of octahedral voids in a K=12 FCC vacuum lattice.
  • Calculated structural states using a third-order closed inclusion–exclusion expansion bounded by the six vertices of the octahedron.
  • Applied the standing-information postulate to derive particle mass and annihilation pathways calibrated solely to proton mass without cosmological fitting.
  • Geometric counting yielded a structural count of C_DM = 3364, corresponding to a predicted dark matter mass of m_DM = 1.719 GeV.
  • Structural symmetry demonstrated that the defect is self-conjugate with no first-order electric dipole, suppressing electromagnetic coupling.
  • Interface geometry restricted defect annihilation to produce a gamma-ray line at E_gamma = 1.591 GeV, matching an observed 1.578 ± 0.048 GeV gamma-ray line within 0.3σ.

Cite This Study

Raghu Kulkarni (2026) studied this question.

synapsesocial.com/papers/6a9fd72a58e84d0ff5b45a4ehttps://doi.org/10.3390/quantum8030089
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