note, the problem of time in physics ellucidates to the timelessness of relativity. In this post, I will show how if relativity is taken seriously, then we have a problem concerning energy which is a direct consequence of Noether's Theorem. I offer two possible solutions.
Energy is related to Time and Space
Bernoulli's equation is a representation of the law of "the conservation of energy" which is related by Noether's Theorem to the geometry of time - this basically means that it does not matter when you might conduct an experiment, there is a symmetry of a systems action which should imply a conservation law each time.
No Time Must Imply no Energy
And so for now, we must understand energy in the context of time. The absense of energy therefor, would imply the absence of time and vice versa; but why is this important?
Well, I have a proposal to make. Because Einstein's equations generate a motion in time that is a symmetry of the theory and thus not a true time evolution at all, we seem to be left with a timeless model. The universe would then be timeless.
Yet, if this is true and the universe is truely timeless, then surely this would mean that energy is devoid in our universe as well?
The counterintuitive facts just keep on trucking from the soil of Relativity, but this is one fact I must state. The innability of finding a time evolution for the universe would result in a faulty premise concerning whether it has an energy.
Fred Alan Wolf asked the question in his book Parallel Universes
''How can the universe have an energy?''
He further makes his point clear by saying that for the universe to have a defined energy someone would need to be sitting outside the universe to actually observe the energy. There is a way out of his problem and the paradox of timelessness and energy which I proposed above.
The whole universe, can only be observed by two possible ways: that is by someone either sitting outside the universe, or by someone who is sitting in the infinite future. Usually both examples are considered impractical [1] because they seem to purport to unphysical concepts.
I however, can see merit in the idea that something in our future has defined a total energy for the universe and by doing so, we may be able to recover the present moment; though it will not let us create the past and future, no amount of nip and tuck will rectify the problem that the past and future are simply illusions of the mind.
Enter the Transactional Interpretation (TI). In a seperate post mentioned how the TI could allow for signals to be sent back from the future to our past and shaping the past as we know it. This is not wild speculation but is a corner stone understanding of physics in general, through what is called Wheeler's Delayed Choice Experiment. In this experiment, which for the sake of getting to the point quickly will be oversimplified. The ability to make an observation on a system which may have traversed multiple paths due to the wave function will collapse into a single path - but what we are really doing when we observe the system is we are effectively creating a defined past for that object (mind I am using past as a calculational tool).
So a particle might travel the universe, take every possible path, arrive here on earth to be observed by a scientist to send quantum information backwards (the negative time wave solution of the TI) to the past history of the particle and define attributes which were but a smear of possibilities... Now, before we loose track, I will quickly get to the point. This is perhaps what is happening in our universe and why thinking about an observer in the infinite future is important. You can't have an observer sit outside space, nothing can exist outside of the universe, not even an observer.
Well, it turns out you don't even need an infinite future. To solve this, you need a boundary, or rather a symmetry in time. The very last instant of the universes existence will be were an observer would need to sit to view all the energy of the universe. By doing so, they would define whether the universe began with an energy or not. Who is this observer? Is it a form of intelligence? I don't know, all I know is that there is a problem if timelessness exists and that is that energy automatically ceases to exist, yet to solve this is by saying something intelligent is located in the very last instant of the universe which is sending signals back in time in the form of quantum waves (the kind you find in the transactional interpretation) so that the early universe could have some kind of defined volume of energy and perhaps maybe squeezing in the present time.
I am not completely against the idea of a present time existing outside in the universe defining objects, I just think it should be noted that the past and future certainly do not.
There could be something more sinister to realize perhaps, that maybe the universe is not a conserved case of energy. This statement however just seems to hard to believe ... or does it? The universe is now receeding faster than light which seems to indicate that our universe is using energy at a faster rate. In doing so, it might be conjectured that on the crux of things, the universe is not conserving energy like a ground state atom and thus will quantum leap sometime in the future. Odd to think of a universe quantum leaping, but this has been the literature in quantum cosmology.
Usually when we talk about a system not conserving it's energy, we talk about the system not having a symmetry. A symmetry would let a langrangian density be $$\delta L = 0$$. That is a conserved energy from symmetry, but if you add something into the equation that break's this symmetry then you no longer have a conserved quantity. So maybe, just maybe Noether's Theorem is not applicable to the universe because it does not retain the symmetry allowed to express the system as a conserved quantity.
What do you think, can you think of any other solutions to this problem I raise today?
Energy is related to Time and Space
Bernoulli's equation is a representation of the law of "the conservation of energy" which is related by Noether's Theorem to the geometry of time - this basically means that it does not matter when you might conduct an experiment, there is a symmetry of a systems action which should imply a conservation law each time.
No Time Must Imply no Energy
And so for now, we must understand energy in the context of time. The absense of energy therefor, would imply the absence of time and vice versa; but why is this important?
Well, I have a proposal to make. Because Einstein's equations generate a motion in time that is a symmetry of the theory and thus not a true time evolution at all, we seem to be left with a timeless model. The universe would then be timeless.
Yet, if this is true and the universe is truely timeless, then surely this would mean that energy is devoid in our universe as well?
The counterintuitive facts just keep on trucking from the soil of Relativity, but this is one fact I must state. The innability of finding a time evolution for the universe would result in a faulty premise concerning whether it has an energy.
Fred Alan Wolf asked the question in his book Parallel Universes
''How can the universe have an energy?''
He further makes his point clear by saying that for the universe to have a defined energy someone would need to be sitting outside the universe to actually observe the energy. There is a way out of his problem and the paradox of timelessness and energy which I proposed above.
The whole universe, can only be observed by two possible ways: that is by someone either sitting outside the universe, or by someone who is sitting in the infinite future. Usually both examples are considered impractical [1] because they seem to purport to unphysical concepts.
I however, can see merit in the idea that something in our future has defined a total energy for the universe and by doing so, we may be able to recover the present moment; though it will not let us create the past and future, no amount of nip and tuck will rectify the problem that the past and future are simply illusions of the mind.
Enter the Transactional Interpretation (TI). In a seperate post mentioned how the TI could allow for signals to be sent back from the future to our past and shaping the past as we know it. This is not wild speculation but is a corner stone understanding of physics in general, through what is called Wheeler's Delayed Choice Experiment. In this experiment, which for the sake of getting to the point quickly will be oversimplified. The ability to make an observation on a system which may have traversed multiple paths due to the wave function will collapse into a single path - but what we are really doing when we observe the system is we are effectively creating a defined past for that object (mind I am using past as a calculational tool).
So a particle might travel the universe, take every possible path, arrive here on earth to be observed by a scientist to send quantum information backwards (the negative time wave solution of the TI) to the past history of the particle and define attributes which were but a smear of possibilities... Now, before we loose track, I will quickly get to the point. This is perhaps what is happening in our universe and why thinking about an observer in the infinite future is important. You can't have an observer sit outside space, nothing can exist outside of the universe, not even an observer.
Well, it turns out you don't even need an infinite future. To solve this, you need a boundary, or rather a symmetry in time. The very last instant of the universes existence will be were an observer would need to sit to view all the energy of the universe. By doing so, they would define whether the universe began with an energy or not. Who is this observer? Is it a form of intelligence? I don't know, all I know is that there is a problem if timelessness exists and that is that energy automatically ceases to exist, yet to solve this is by saying something intelligent is located in the very last instant of the universe which is sending signals back in time in the form of quantum waves (the kind you find in the transactional interpretation) so that the early universe could have some kind of defined volume of energy and perhaps maybe squeezing in the present time.
I am not completely against the idea of a present time existing outside in the universe defining objects, I just think it should be noted that the past and future certainly do not.
There could be something more sinister to realize perhaps, that maybe the universe is not a conserved case of energy. This statement however just seems to hard to believe ... or does it? The universe is now receeding faster than light which seems to indicate that our universe is using energy at a faster rate. In doing so, it might be conjectured that on the crux of things, the universe is not conserving energy like a ground state atom and thus will quantum leap sometime in the future. Odd to think of a universe quantum leaping, but this has been the literature in quantum cosmology.
Usually when we talk about a system not conserving it's energy, we talk about the system not having a symmetry. A symmetry would let a langrangian density be $$\delta L = 0$$. That is a conserved energy from symmetry, but if you add something into the equation that break's this symmetry then you no longer have a conserved quantity. So maybe, just maybe Noether's Theorem is not applicable to the universe because it does not retain the symmetry allowed to express the system as a conserved quantity.
What do you think, can you think of any other solutions to this problem I raise today?
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