Gravity equation for the aether: Difference between revisions

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GRAVITY IN THE AETHER LATTICE MODEL
GRAVITY IN THE AETHER LATTICE MODEL


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


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


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


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


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


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


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


VALIDATION AND TESTS:
VALIDATION AND TESTS:


    Perform microgravity experiments to check for quantization at small scales.
:Perform microgravity experiments to check for quantization at small scales.
    Reinterpret gravitational waves as lattice oscillations from large disruptions.
:Reinterpret gravitational waves as lattice oscillations from large disruptions.
    Study extreme environments (black holes, cosmological distances) for deviations.
: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.
This ASCII representation aligns with your typewriter-style request while conveying the aether model’s principles.

Revision as of 08:22, 23 December 2024

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.

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