Lecture
Why does time pass?
The EconomistJohn Archibald Wheeler, Albert Einstein, Hermann Minkowski, Arthur Eddington, Ludwig Boltzmann
Philosophical vs. Physical Perspectives:
- Human experience views time as a perpetual present moving unidirectionally into the future.
- Physicist John Archibald Wheeler defined time as that which prevents all events from occurring simultaneously.
- Many experts consider the fundamental question of "why" time passes to be a matter of philosophy rather than pure physics, as the concept of "happening" is inherently temporal.
Einstein's Special Theory of Relativity (1905):
- Demonstrated that time is relative to the observer's speed; it passes at different rates depending on motion.
- Albert Einstein showed that high velocities mix space and time, making the distinction between them relative to the measurer.
- Time dilation occurs for travelers moving near the speed of light, causing time to slow down for them relative to stationary observers.
Development of General Relativity (1915):
- Hermann Minkowski first proposed that space and time form a single four-dimensional continuum called spacetime.
- Einstein initially dismissed the spacetime concept as purely mathematical but later adopted it to incorporate gravity.
- General Relativity posits that massive objects warp spacetime, creating the curvature experienced as gravity.
- Proximity to massive bodies (e.g., black holes, Earth, Sun) slows the passage of time; this effect is proportional to gravitational pull.
Practical Verification of Relativistic Time Dilation:
- GPS satellite systems must account for relativistic time dilation to maintain accuracy.
- Without corrections for gravity and velocity effects, GPS would generate significant positional errors.
The Arrow of Time and Entropy:
- Fundamental physical laws (including Einstein's equations) are time-symmetric and work equally well if time runs forward or backward.
- The observed unidirectionality of time is defined by Arthur Eddington as the "arrow of time."
- This arrow is driven by the Second Law of Thermodynamics: entropy (disorder) increases over time.
- Statistical probability dictates that systems evolve from order to disorder (e.g., a building decaying), making the reverse process highly unlikely.
Time Travel Possibilities and Constraints:
- Travel to the future is theoretically possible via relativity; for example, spending one hour near a black hole could result in seven years passing on Earth.
- Einstein's equations theoretically allow for wormholes (shortcuts in spacetime), but practical implementation faces two major hurdles:
- The immense mass and energy required to create a wormhole.
- The inability to keep a wormhole open long enough to traverse it without it collapsing.
- Current consensus suggests wormholes are likely forbidden by the laws of nature, despite not being explicitly ruled out by equations.
- While theory does not strictly forbid backward time travel, practical and physical evidence suggests the arrow of time cannot be reversed.