by

Ciro Santilli (@cirosantilli, 37)

Four-momentum

Table of contents
- Relativistic energy Four-momentum
  - Energy-momentum relation Relativistic energy
  - Mass-energy equivalence Relativistic energy
- Spacetime interval Four-momentum
  - Proper time Spacetime interval

Relativistic energy

 0  0 

Energy-momentum relation

 0  0 

Mass-energy equivalence ( $E = m c^{2}$ )

 1  0 

Spacetime interval

 0  0 

In the Galilean transformation, there are two separate invariants that two inertial frame of reference always agree on between two separate events:

time
length, given by the Pythagorean theorem

However, in special relativity, neither of those are invariant separately, since space and time are mixed up together.

Instead, there is a new unified invariant: the spacetime-interval, given by:

c Δ t^{2} - (Δ x^{2} + Δ y^{2} + Δ z^{2})

Note that this distance can be zero for two events separated.

Proper time

 0  0 

 Ancestors (8)

 View article source

 Discussion (0)

+ New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic + Create my own version