Definition of Time in Modern Physics

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Time in modern physics is primarily viewed as a dimension, distinct from spatial dimensions, particularly in the context of relativity and theories like the standard model and string theory. In general relativity, both time and space dimensions can bend, while in non-relativistic quantum theory, time remains a numerical value rather than an operator. Classical physics treats time similarly, reinforcing its role as a measurable quantity. Despite the apparent complexity of time definitions across different theories, they can be unified into three main concepts, with older theories still relevant in specific contexts like chemistry. Time's relationship with physical phenomena, such as gravity and thermodynamics, highlights its elusive nature, evidenced by the progression of events rather than direct observation.
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I´d like to know what´s the exact definition of time in modern physics. Is it just a dimension, and nothing else?
 
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In relativity, and all relativistic theories like the standard model and string theory, time is one of the dimensions, but treated a little differently from the space dimensions (a change in the sign of some numbers). This is also true in general relativity, though there we find that the time dimension, as well as the space dimensions, can bend.

In non-relativistic quantum theory, which is still used, space position is a mathematical "operator" which chnges the value of a wave function, and corresponds to the physical operation of measuring a position. But time is not an operator for technical reasons, and reamains just a numerical value as in ordinary life - so many nanoseconds or whatever.

In classical physica, like ordinary physics 101, time is a number again, like we usually have it.

Having different time definitions seems confusing at first, and you wonder how unified all these different theories could be, with so many different "times". But you really have only three. All of relativistic quantum theory is consistent, and the older quantum theory is kept around because it works well at low speeds, for example in chemistry. Likewise the General Relativity theory works very well at astronomical distances, but even the GR theorists believe it will eventually be replaced with something that is valid at really short distances too.
 
Isn't time defined by the 2nd law of thermodynamics? The tendency to disorder is irreversible, so surely time must be linked to this, rather than any other aspect of Physics.
 
Well time isn't really a tangible thing physically, but it can be affected by physical things like gravity and velocity, electromagnatism, strong and weak nuclear force. Time is kind of hard to explain but we can witness it by the passing of events.

It's kind of like how the scientists are trying to find evidence of a graviton by it's absence after a particle collision. You won't actually see it, but you see evidence of it's existence.
 
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