time¶
- https://writings.stephenwolfram.com/2024/10/on-the-nature-of-time/
- attempts to define & compute
- coordinate
- computational step count
buddhism¶
- impermanence is temporal
computations¶
Time
Classical Mechanics
- Time as a Parameter: In classical mechanics, time is often treated as an independent parameter, flowing uniformly and independently of the system's state.
Special Relativity
- Time Dilation: $$ t' = \frac{t}{\sqrt{1 - \frac{v2}{c2}}} $$
- Time as a Fourth Dimension: In special relativity, time is combined with the three spatial dimensions to form a four-dimensional spacetime continuum.
General Relativity
- Time as a Dynamic Quantity: In general relativity, the concept of time is more complex. The presence of mass and energy can warp spacetime, affecting the flow of time.
- Gravitational Time Dilation: Time passes more slowly in a stronger gravitational field.
Quantum Mechanics
- Time Evolution Operator: $$ |\Psi(t)\rangle = e^{-i\hat{H}t/\hbar}|\Psi(0)\rangle $$
- Time-Independent Schrödinger Equation: $$ \hat{H}|\Psi\rangle = E|\Psi\rangle $$