Gravity equation for the aether

GRAVITY IN THE AETHER LATTICE MODEL

   CONCEPT:
       Gravity arises because the lattice, which forms the fabric of space, seeks its lowest energy state.
       Mass is represented as discontinuities in the lattice, which distort the surrounding structure.
       The lattice tension pulls discontinuities (masses) together to restore equilibrium.

   INVERSE-SQUARE RELATIONSHIP:
       The distortion spreads outward in all directions (spherically).
       The force between masses diminishes with the square of the distance, just like in Newtonian gravity.

   FORMULA:
   F=Ga⋅m1m2r2
   F=Ga​⋅r2m1​m2​​

   Where:
       F = Gravitational force
       m_1, m_2 = Masses (proportional to their lattice distortions)
       r = Distance between masses
       G_a = Aether gravitational constant, dependent on lattice density and rigidity.

   LATTICE CONSTANT:
       G_a is determined by:
       Ga∝1lattice density⋅lattice rigidity
       Ga​∝lattice density⋅lattice rigidity1​

   DISTINCTIVE FEATURES:
       The lattice model suggests that gravity may show quantization effects at very small scales.
       Deviations from classical gravity might occur near extremely massive objects or in quantum systems.

   TENSOR EXTENSION:
       A lattice distortion field could follow:
       Rmu,nu−(1/2)gmu,nuR=(8piGa/c4)Tmu,nu
       Rm​u,nu−(1/2)gm​u,nuR=(8piGa​/c4)Tm​u,nu
       Here, R_mu,nu represents the curvature of the lattice caused by mass-energy (T_mu,nu).

VALIDATION AND TESTS:

   Perform microgravity experiments to check for quantization at small scales.
   Reinterpret gravitational waves as lattice oscillations from large disruptions.
   Study extreme environments (black holes, cosmological distances) for deviations.

This ASCII representation aligns with your typewriter-style request while conveying the aether model’s principles.