# Physics

Last Updated by luke. Filed under gravitational theory, physicsWhere: ≡ defined as ≈ equivalent to f: frequency in Hertz λ:…

- Gravity ≡ a field (not a force) which causes distortions (i.e., curvatures and dilation) in spacetime.
- Corollary 1: Gravity is a wave with λ = v/f. Specifically, it is a low frequency (10
^{3}Hz), long wavelength (λ ≥ 10^{5}m) field that is observed at macroscale levels. (f ≈ 1KHz, λ ≈ 100-1000 km) - Corollary 2: Gravitational waves travel at the speed of light. Therefore λ
_{gravity}= c/f - Corollary 3: Gravitational waves behave similar to electromagnetic waves.
- Corollary 4: The closer ones moves to the point-source of the gravity field, the “strength” of the field (amplitude of the gravity wave) increases.
- Corollary 4b: Distortions (curves and expansion-dilation) in space and time increase (become more pronounced) as one moves closer to the point source of the gravitational wave
- Gμν=(8πG/c
^{4})×Tμν - Location of an arbitrary point called s in 2-d (x, y), 3-d (x, y, z), and 4-d (x, y, z, t):
- 2-d: s
^{2}= x^{2}+ y^{2} - 3-d: s
^{2}= x^{2}+ y^{2}+ z^{2} - 4-d: s
^{2}= x^{2}+ y^{2}+ z^{2}– c^{2}t^{2} - Past influences the present, and present influence the future (Minkowski lightcone)
- General Relativity tells us we live in a spacetime geometry. It applies to accelerating frames of reference.
- Special relativity applies to inertial, constant velocity, non-accelerating frames of reference
- Strong Nuclear Force: Within the nucleus of atoms (i.e., at subatomic, nanoscale levels) the force field that binds protons together within a nucleus (via neutrons) is multiple orders of magnitude “stronger” than gravitational fields.
- Corollary 1: spacetime distortions (and constraints) don’t exist at the subatomic level. At the subatomic level all effects of gravity are canceled out. Thus particle theory (i.e., quantum mechanics) takes over.

Where:

**≡**defined as**≈**equivalent to**f:**frequency in Hertz**λ:**wavelength**v:**velocity**c:**velocity of light = 2.998×10^{8}m/s**x, y, z:**arbitrary coordinates in 3-dimensional space**t:**time**Fμν:**electromagnetic field tensor, all the information about the electric and magnetic field**Tμν:**energy-stress tensor, describes the mass-energy, momentum, and stress density**Gμν:**Einstein tensor, curvature of space-time**(8πG/c**coupling of energy, momentum, stress and strain from matter to curvature^{4})Tμν:**8πG/c**matter-gravity coupling (coupling of energy-momentum) to curvature = 2.077×10^{4}:^{-43}1/Newton**G:**Newton’s Gravitational Constant = 6.674×10^{4}Newton⋅meter^{2}/kilogram^{2}