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voltan
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My question is: what does "manifest" Lorentz covariance means for a field theory, as opposed to simply Lorentz invariance.
Thanks for the replies!
Thanks for the replies!
voltan said:My question is: what does "manifest" Lorentz covariance means for a field theory, as opposed to simply Lorentz invariance.
Thanks for the replies!
Meir Achuz said:Maxwell's equations in 3-vector form are Lorentz invariant in that they are the same in any Lorentz system, but they are not 'manifestly' Lorentz invariant.
'Manifestly' Lorentz invariance means that the LI is obvious from the form of the equations.
Manifest Lorentz covariance is a fundamental principle in physics that states that the laws of physics should remain the same in all inertial reference frames. This means that the mathematical form of physical laws should not change when observed from different perspectives, as long as the relative motion between the reference frames is uniform.
Manifest Lorentz covariance is important because it is a fundamental principle of relativity and is necessary for our understanding of the universe. It allows us to make accurate predictions and calculations in physics, and has been confirmed by numerous experiments and observations.
Manifest Lorentz covariance is a key component of Einstein's theory of relativity. It is the mathematical expression of the principle of relativity, which states that the laws of physics should be the same for all observers in uniform motion.
Some examples of physical laws that exhibit Manifest Lorentz covariance include the equations of motion in classical mechanics, Maxwell's equations of electromagnetism, and the Schrödinger equation in quantum mechanics.
Manifest Lorentz covariance has been verified in all experiments and observations to date, and there are no known exceptions. However, it is possible that it may not hold in extreme conditions, such as in the presence of a singularity or in the early universe. This is an area of ongoing research in physics.