- #1
xiaomaclever
- 13
- 0
Generally we say GR is local Lorentz invariant. Does it mean the action or field equation?
Why not Poincare invariant? Thanks!
Why not Poincare invariant? Thanks!
Lorentz or Poincare invariance refers to the fundamental principle in physics that the laws of nature should be the same for all observers who are moving at a constant velocity relative to one another. This principle is a cornerstone of Einstein's theory of relativity and has been experimentally verified to hold true in all inertial frames of reference.
Lorentz or Poincare invariance is closely related to the speed of light, as the speed of light is considered to be the same for all observers regardless of their relative motion. This means that the laws of physics, including the principles of Lorentz and Poincare invariance, must hold true regardless of an observer's speed.
Lorentz or Poincare invariance is a fundamental concept in modern physics, as it forms the basis for Einstein's theory of relativity and plays a crucial role in many areas of physics, such as quantum field theory, particle physics, and cosmology. It also allows for the consistent integration of space and time in the theory of special relativity.
While Lorentz or Poincare invariance has been experimentally verified to hold true, there are some theories, such as string theory, that propose the possibility of small violations. However, these violations have not been observed and are not currently supported by strong evidence.
While the concept of Lorentz or Poincare invariance may seem abstract, it has practical applications in various technologies, such as GPS systems, particle accelerators, and nuclear reactors. These technologies rely on precise measurements and calculations that take into account the principles of invariance to function accurately.