billa12 said:
What does behoove mean? I looked it up and can't seem to understand how it fits into the sentences.
"Behooves us" means "benefits or befits us to do." I guess it means it gives us hooves or something! You were probably looking at the "it is our duty to do" element, I was stressing more the beneficial element, like it is our duty to do physics in such a way as to benefit humanity.
What is a worldline, are you referring to string theory?
A worldline is the track of a particle through spacetime, so it carries the aspect of "existent time" that you were talking about-- the worldline exists at all times and at all the places it visits, it is a set of events that does not need time to "sweep out" in successive order. It is a geometric construct.
What does "experimental outcome (like in quantum mechanics)" mean?
In quantum mechanics, time is not an observable, nor does it sweep out from one moment to the next, it is simply a way to index an observation-- we say the probability of outcome A at time t is p(A,t). So to predict an observation, we reference what the clock reads-- but we don't care if there were any times before or after that, it's just a way of labeling which observation we are trying to predict. Note that is not at all how time is treated in relativity, where it has a geometric meaning that requires all times to exist to define the meaning of the spacetime manifold whose geometric properties are under consideration. Being geometric, time is treated on a similar footing with space, but in quantum mechanics, posiition is an observable and time is a way of indexing what position measurement is being referred to.
Is time just movement so only the present exists and an object is not connected to its past in other words it is 2 different objects?
That question is probably deeper than either relativity or quantum mechanics, but those theories do give a different flavor to how they inspire answers to that philosophical question. I would say that QM inspires an answer more along the lines that the object has no continuous existence in time-- we say a particle can go through two slits without having to go through one or the other or even both, it is simply indeterminate which slit it went through. But relativity inspires an answer more along the lines that the object does have a continuous existence at all times along its world line, indeed the whole concept of a "world line" suggests that a particle is a one-dimensional entity, rather than a zero-dimensional entity. String theory takes the dimensionality even farther, but I'm not any kind of expert on that.
My point is simply that physics is not a monolithic structure that provides answers to questions like that-- it is a body of useful theories, and we choose what theory we want in what situation and for what purpose. Different theories inspire different answers to the various philosophical questions one might hope physics would answer-- and that's exactly why physics doesn't really answer philosophical questions, rather it shows that questions like that (that combine philosophy and science) probably don't have unique answers in the first place. But they are still good questions to ask-- not because they have a single answer, but because their multiple answers are an informative way to understand the various theories of physics.