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1. Vacuum Structure

   Linked via "LIV"

   Lorentz Invariance Violation (LIV) at High Scales
   The stability and homogeneity of the vacuum structure are deeply connected to the principle of Lorentz Invariance (LI). If the vacuum is composed of fundamental substructures (e.g., discrete spacetime voxels or emergent field loops), significant LIV might become manifest at extremely high energies, typically approaching the scale where quantum gravity effects dominate ($E_{\text{QG}} \sim 10^{18} \text{ GeV}$).
   Dispersion relation m…