Simplicial Lattice Field Theory (Vol VIII): Emergent Gravity, Black Hole Entropy, Dark Matter, Dark Energy, and Cosmology from D4 Lattice Elasticity
Simplicial Lattice Field Theory (Vol VIII): Emergent Gravity, Black Hole Entropy, Dark Matter, Dark Energy, and Cosmology from D4 Lattice Elasticity
Gravity emerges from D4 lattice elasticity: the 1/r potential, Newton's constant, and PPN parameters are derived. Poincaré duality on S³ cancels the bulk vacuum energy exactly, resolving the cosmological constant problem. The dark matter ratio Ω_DM/Ω_b=173/32 and dark energy fraction Ω_Λ=2/3 follow from the Hodge decomposition. The Universal Fractal (d_KY=d_H=2) spans 44 hierarchical levels from the Planck length to the Hubble horizon.
simplicial lattice field theory, 24-cell, D4 root lattice, Hodge decomposition, discrete gauge theory, lattice gauge theory, fine-structure constant, Weinberg angle, Higgs mass, proton-electron mass ratio, CKM matrix, PMNS matrix, neutrino mixing, color confinement, baryon number, cosmological constant, dark matter, dark energy, holographic principle, Kaplan-Yorke dimension
simplicial lattice field theory, 24-cell, D4 root lattice, Hodge decomposition, discrete gauge theory, lattice gauge theory, fine-structure constant, Weinberg angle, Higgs mass, proton-electron mass ratio, CKM matrix, PMNS matrix, neutrino mixing, color confinement, baryon number, cosmological constant, dark matter, dark energy, holographic principle, Kaplan-Yorke dimension
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