Ok, although the rest is highly philosophical, I feel called to respond here...
raj_vad said:
As it has been said in this forum, you may end up with Philosophy forum. However, I wish Vanesh to consider the following point (maybe from Philosophy):
If you say that the only thing that your senses percieve exist then it would mean that percetions you had in dreams are part of history. It is true that I <saw> myself killing the president of a nation in my dream. There is no doubt about my having perceived this. But next morning I woke up watching the person I killed in my dream as walking in live television broadcast. So my perception during dream has a diffrent kind of logic and must not be mixed up in the logic of my wake up state. This leads me to believing that my perception alone are not my guide to Truth. Perception may be deceptive.
Brrr, funny what people read in what I write! Two days ago I was reading "Philosophy for dummies", and it struck me that what I wanted to say, is in fact close to what Plato said - he said it in a much better way, btw, a clever guy, that Plato

, with his "men in a cave" story.
Just for the record: I was FIGHTING the idea that all we ever have to consider is what our senses perceive (which is the positivist viewpoint), and tried to make the point that the rumors of death of the hypothesis of a real, objective world which is described by physical theories are a bit premature, but that on the other hand, it could be that what we perceive is only indirectly related to what is "really out there". Dreams and so on being an example, but it could also be that being awake suffers from that property. I'm only taking that POV because it makes it easier for me to visualise the formalism of quantum theory, that's all. Not because I'm on crack.
There is no doubt that definition of energy as it appears in the textbooks of physics is indeed tricky. Is it the property of matter to be affected by energy? But these days we talk of energy densities to be behaving like masses and that mass is a form of energy (relativity). So it follows that there is only one entity namely energy in the space-time.
The viewpoint I have on the issue is that there is a mathematical structure that is the perfect description of nature (call it, the perfect laws of physics). In how much our current theories come close to that structure, I don't know, but the best we can do is to assume they are a good approximation. What we perceive is some kind of destillate from that perfect structure. This is VERY, VERY Plato-like, in fact.
So "what" is supposed to be out there ? Consider it, according to the theory you're using, to be the mathematical structure of the theory. In Newton's mechanics, there are "matter points" in an Euclidean space, with numbers (mass, charge...) attached to it, as a function of a parameter, which we call "time".
In classical field theory, it are vector (and other) fields on a 4-d manifold: sections of the cotangent bundle of spacetime and some dynamical prescription.
In quantum theory, it is the ray in Hilbert space, constructed using whatever degrees of freedom we think there should be (field modes, particles, strings, wobbles, beables...) and a unitary operator standing for "time evolution" or something of the kind which gives us the dynamics.
In what way these things "are really out there" is of course purely a matter of metaphysical speculation, but my point is, was, and will be, that as long as we can do that, that it is a good idea to do so, because it devellops intuition of "how nature behaves" and hence how one should crank the handles of the theory under study.
What is "energy" ? Well, it is a quantity that is derived from (part of) the structure, and that quantity has a lot of interesting properties, as related to the structure. Often, it is a conserved quantity. Often, it is related to a symmetry, called "time translation invariance". As such, "energy" is not really "materially there". It's a NUMBER that we calculate from the "state of the world", or from the "state of a piece of the world - the system under study".
We have to realize that the problem of existence can not be solved by perception alone. For that matter I can not be sure of existence of myself. Or about the existence of the world arond me. That is why des cartes argued that, it may be true that (while he was woken up) I may be dreaming all the time. Or maybe that the world around me may not exist but its existence may be just an effect caused by a devil in my mind. However, it is true that I am <now> thinking all these things. So I am sure that I am thinking about the perception. This thinking must not be untru or this thinking can not be denied. And as I am sure tht I am thinking therefore I am sure of the existence of myself. If I don't exist then these thinking can not exist (in vacuum). So existence of myself is certain. Cogito ergo sum.
Amen.
When I am awake my obervation of the world around me has a certain logic and a certain mathmatics. When I dream sometimes 2+2 is not 4. So as there is a certain logic in the behaviour of objects around me, I believe that they have a property of existence. My perception is corroborated by the perception of the others as they communicate to me. As far as I am concerned it is my definition of existence. I know that this is incomplete. But this is how I knowthat science works.
yes.