space¶
- is there such a thing or is space filled with particles too small to observe
space and buddhism¶
- shunyata is sort of spacial
- vs impermanence which is temporal
Space Computations¶
Classical Mechanics
- Kepler's Laws of Planetary Motion
- Newton's Law of Universal Gravitation: $$ F = G \frac{m_1 m_2}{r^2} $$
- Orbital Mechanics:
- Orbital Velocity: $$ v = \sqrt{\frac{GM}{r}} $$
- Orbital Period: $$ T^2 = \frac{4\pi2}{GM}r3 $$
Special Relativity
- Lorentz Transformations
- Time Dilation
- Length Contraction
General Relativity
- Einstein Field Equations: $$ R_{\mu\nu} - \frac{1}{2}Rg_{\mu\nu} = \frac{8\pi G}{c^4}T_{\mu\nu} $$
- Geodesic Equation
- Black Hole Solutions (Schwarzschild, Kerr, etc.)
Cosmology
- Friedmann Equations: $$ \left(\frac{\dot{a}}{a}\right)^2 + \frac{k}{a^2} = \frac{8\pi G}{3}\rho $$ $$ \frac{\ddot{a}}{a} = -\frac{4\pi G}{3}(\rho + 3p) $$
- Hubble's Law: $$ v = H_0d $$
These equations are fundamental to understanding the behavior of celestial bodies, the expansion of the universe, and the nature of gravity.