Why should the action be Lorentz invariant?

In summary, Lorentz invariance is a fundamental principle of special relativity that states the laws of physics should remain the same for all observers in uniform motion. It is supported by a significant amount of experimental evidence and is closely tied to the concept of spacetime, allowing for a consistent understanding of time and space. While there are some theories that suggest it may be violated in extreme conditions, Lorentz invariance remains a crucial component of modern physics and has greatly impacted our understanding of the universe.
  • #1
pellman
684
5
Why should the action be Lorentz invariant? Every time I come across this it is assumed by the author without qualification. As too obvious to explain maybe? Ain't obvious to me.
 
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  • #3
i get it now. Thanks.
 

FAQ: Why should the action be Lorentz invariant?

Why is Lorentz invariance important in physics?

Lorentz invariance is important in physics because it is a fundamental principle of special relativity. It states that the laws of physics should remain the same for all observers in uniform motion, regardless of their relative velocities. This allows for a consistent and unified understanding of space and time, and is essential for many modern theories and experiments in physics.

What evidence supports the idea of Lorentz invariance?

There is a significant amount of experimental evidence that supports Lorentz invariance. For example, the famous Michelson-Morley experiment in 1887 showed that the speed of light is constant and independent of the observer's frame of reference. This is a key tenet of Lorentz invariance. Additionally, many other experiments in particle physics, cosmology, and gravitational waves have consistently confirmed the principle of Lorentz invariance.

How does Lorentz invariance relate to the concept of spacetime?

Lorentz invariance is closely tied to the concept of spacetime, which combines the three dimensions of space with the dimension of time. The principle of Lorentz invariance ensures that the laws of physics remain the same in all frames of reference, regardless of their relative motion. This allows for the consistent use of spacetime as a unified framework for understanding the universe.

Can Lorentz invariance be violated?

While Lorentz invariance has been extensively tested and confirmed, there are some theories that suggest it may be violated in certain extreme conditions, such as at the Planck scale or in the presence of very strong gravitational fields. However, these violations have not yet been observed, and Lorentz invariance remains a fundamental principle in modern physics.

How does Lorentz invariance impact our understanding of time and space?

Lorentz invariance is essential for our understanding of time and space. It allows us to reconcile the seemingly different concepts of time and space, and to understand them as interconnected dimensions in the fabric of spacetime. Lorentz invariance also helps to explain the observed phenomena of time dilation and length contraction, which have been confirmed through experiments and are integral to modern theories such as special relativity.

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