I guess only good can come of posting this which I am about to do... It is part of a chapter of a book I have been writing, this chapter is named ''what is time?''
What is Time?
"The distinction between past, present, and future is only a stubbornly persistent illusion" - Albert Einstein
So we now arrive at a question that is important because it will have a lot to do with consciousness which I will attempt to tackle in it's own chapter after this one. Time is something we all usually tend to agree exists. It is part of how the world is allowed to evolve over some length of time. Time seems to encompass every physical event, so maybe it should not be too hard to imagine why time has been a serious question for early man. One example would be the Mayan Civilization who were obsessed with the idea of time.
And even to today, time seems to be a very important question because on the whole of things, we really don't know too much about time, other than what physicists have prescribed into their theorems. Then, knowing this it seems that time is calculational tool we use to catalogue events over a series of moments. Time in the much deeper sense is something we feel flow inexorably from our past and into our future and we are somehow sandwiched in the middle.
Well time has had some serious new dresses to wear when quantum theory came about. It had something to say about some universal flow of time; such as, it didn't exist! It also said that time was not really a river. It also had some strange counterintuitive things to say about the past and future as well, so much that they were really illusions, most probably created by the human mind. We shall discuss these new concepts soon.
The biggest accomplishment of relativity in a mathematical sense (created by Einstein's teacher, Minkowski) was probably the realization that space and time where in fact a single object. That time turned out to be an imaginary dimension of space, that the whole spacetime metric we call the 'vacuum' was really composed of four spatial dimensions. This was huge because it gave time a physical appearance as well. Space was known as a bubbling sheet of particles, which became a dynamical aspect of what a vacuum was really all about, so if time truely was a dimension of space, then time must be just as physical as the vacuum.
It ultimately made sense to do this, because in the end of the day it did still require that to travel a distance in space meant to move through time as well. An interesting note was that we were to move through time, time does not move through us, hence why there is no flow. Also, if space was geometrical then it meant that time could not be linear either.
One of relativities biggest contributions was it's theoretical idea that time and space had some distant origin in our pasts. Known as the big bang, since time is primal, part of the dimensional set-up of the vacuum, then if time just began we can assume that space just began as well, including matter, energy, gas and plasma. The beginning of time was a wonderful insight that was created by the equations of General Relativity (the study of our universe in terms of gravity and curvature). However, like with so many beginning's, will there be an end?
This has been a question that we will explore at the end of this chapter. For now, I am going to explain what get's physicists ticking when we talk about time.
Timelessness
Now I come to a subject that most physicists tend to be quiet about, apart from a few maveriks. Time becomes part of the odd unanswered questions of quantum mechanics, but while quantum mechanics describes time in a certain way, General Relativity has something else to say about the nature of time entirely. This was so prominent at the time, it was eventually named the ''time problem'' of quantum mechanics and Relativity.
The way we apply time is not how you apply time to theory like quantum mechanics. Quantum mechanics tends to treat time like starts and stops instead of any linear feature (a progressive evolution of a single frame of reference. Instead, you can have loads of little fragments of time, just mometary fleeting flashes of existence. In our existences, in reference to the world of perception (what we see and sense) including the perception of time is very linear sometimes. In fact, the time we feel is one which tends to flow from some past and into some future.
This is called the psychological arrow of time. There are in fact several arrows of time in physics, but we shall only cover this one as that would take up a lot of space to describe them. The psychological arrow of time can be thought of as the
illusion brought about by having the ability to catalogue information in a linear process. This is not a loose speculation, but a matter of observation, since the brain is ''aware'' of a past if it will have the ability to catalogue events and remember them in a certain order. In doing so, it will attach a meaning to it, which we call time. It also means that we attach a ''flow'' to time as well, so maybe it is not surprising then to find out that there really is no flow to time either in physics. [1]
I say it is an illusion however, but in quantum mechanics, there is no such things as a past or future. (If one finds that claim slightly hard to believe, the explanation of time in General Relativity is even bolder). Einstein was famous for stating that the past and future were illusions.
However, his theory would emit the appearance of time completely from the equations! This model came to be known as the timeless theories. In fact, timelessness was a Cosmological theory and used a global wave function (a wave function of the universe) in an equation called the Wheeler-deWitt Equation. Since it uses a global wave function, one can maybe hyothesize that if there was a time derivative in the equation, it would therefore relate to a global time as well. It might be interesting to note that there seems to be no such thing as a global time in relativity, but there is some evidence that the impossibility of finding a global time [2] may actually imply a singularity in spacetime, according to E. Minguzzi (cited).
What makes this interesting, (before we cover the Wheeler-deWitt equation) is that it is generally considered that the presence of a singularity is a sign of the breakdown of our theory, as I am sure I mentioned before in our second chapter. If theories which omit the global existence of time lead to singularities, then we must consider that they may have some kind of time description to avoid the singularity problem.
The Wheeler-deWitt equation has the form
$$\hat{H}|\psi> = 0$$
On the right, we would usually see $$i \hbar \partial_t \psi$$ but there is none because it does not apply. Whilst it is true we can use clocks as measuring devices, that requires the description of local time. Indeed, there are many who believe that time is strictly a local phenomenon, such as Prof. Lee Smolin has criticized the timeless theories:
''All that is real is real in a moment, which is a succession of moments. Anything that is true is true of the present moment. Not only is time real, but everything that is real is situated in time. Nothing exists timelessly.''
However, while Prof. Smolin may be technically correct, there does not seem to be any indication why time is necesserily real and he seems to be making the large assumption that anything to exist requires the description of time; but maybe Smolin was meaning something else? Maybe someone who takes Relativity very seriously and says that time is a dimension of space, then there is the question that time is actually something we have attached to the world outside based on our experiences. We do afterall, only experience the outside world by taking in two dimensional images which are transported to our brains through a series of complex bio-chemical disturbances all the way to the brain, where the information is further analyzed and somehow recast into the three dimensional phenomenon called ''perception''.
Observation's are real time events and so they cannot be described in imaginary terms however. Observations may cover a wide-range of interactions however, from a human being tentively watching an atom in the lab, to individual particles observing each other.
The world we see is not quite the world at large, yet the world we see is governed by logical changes which require the notion of some kind of time which the outside world may not be part of. After all, as far as we can tell, time is a subjective phenomenon which governs our perception in the way we sense a moment pass by. This subjective relationship might be deep enough to suggest it has something inherent to do with consciousness itself rather than thinking time is a real world phenomenon it's own right.
Another point that should be made, is that our sense of time is itself attached to the perception of a past and a future. The brain is the perfect instrument which manages to retain unthinkable amounts of information which it catalogues and places it as our past. The information is usually well documented in the nueral networks, that if one remembered an event, the sense of the information is ''ordered'' when it is being thought about. It is like we are re-living the experience all over again, but in a new present time frame.
This is the thing. We do no such thing as going back in time when remembering an event, we are simply recreating that event inside of our minds to the standards of how we remembered it in the past. Time is stuck inside the sphere of the present, always. The future is some unknown time yet to occur, but the past doesn't exist either because it remains as an experience, not a true physical artefact of the world any longer.
The Wheeler-deWitt equation then requires a new solution to understand why it seems to be predicting why the universe at large is timeless. If consciousness is treated as the only system which can experience local time, then if timelessness ceases to exists in the global sense, then time would still remain part of the subjective experience, which would kind of bring a new importance on the human individual for once.
Consciousness is a local phenomenon to our frame of references and we can all generally agree on the same time,
this is called Asymoptotic time, so it is as if our brains are designed to generally keep in tune with our surroundings, the people we interact with. It is also governed by day's and nights, where internal biological clocks determine when we sleep, even eat and drink. We can actually tamper with the gene responsible for the perception of time called the Suprachiasmatic Nucleus. So already, we can see there is some genetic, physical interpretation for the experience of time. One might use this as evidence for the case of believing that time is really just a subjective phenomenon and not a real world case.
Whatever the solution to the cosmological problem of time is, it does not stop one obvious fact that seem's to be staring us in the face. That is that consciousness not only requires the subjective experience of time to be allowed to work, but consciousness also requires the distinction of a past and future. As Fred Alan Wolf put it one time, ''a mind without a past is no mind at all.'' [3] So the state of mind is heavily dependant on the structure of how we experience time, the symmetry of past and future which our collective subconscious feels inexorably woven into.
One interesting question which still get's raised today, is the question of whether backward causality phenomenon exist in nature. These objects can be described as something moving backward in time. In the formulation of quantum field theory and the idea of antiparticles, they could be modelled as though the were moving back in time because all of the parameters where just as would be found in a time-reversed object. Usually however, today atleast, physicists do not take this as a true physical representation of reality. However, there is a theory suggested by prof. John Cramer called the
Transactional Interpretation.
The way the transactional interpretation treats the wave function is the idea of a positive time wave and a negative time wave are able to move from the future to the past and from the past to the future. The wave moving forward in time is an advanced and moving back the retarded wave functions; and as you may guess, the waves are solutions of different quantum information packets which upon the absolute square amplitude they will define real existing things.
The emmiter could be an electron, radiating a photon, which is caused by producing a field. The field is time-symmetric under the Wheeler-Feynman description which and as John Cramer describes it ”time-symmetric combination of a retarded field which propagates into the future and an advanced field which propagates into the past.”
He considers a net field which consists of a retarded plane wave form F1
$$F_1 = e^{i(kr - \omega t)}$$
for t1 ≥ 1. Here, t1 is the instant of emission. The advanced solution G1 is simply
$$G_1 = e^{-i(kr - \omega t)}$$
for t1 ≤ 1. The idea is that the the absorbing electron responding to the incident of the retarded field F1 in such a way it will gain energy, recoil, and produce a new retarded field F2=-F1 which exactly cancels the incident field F1. The net field after such a transaction is zero.
$$F_{net} = (F_1 + F_2) = 0$$
Applying this to a universe can be beneficial. It can help explain how the early universe came into existence, because the future implied it through probability. The future of our universe can shape the early universe in such a way that it can define parts of the universe which are smeared by possibilities and out of which only one true history can survive. So there is the chance that the wave function in our universe is sending information back to points in our universes history where the early universe is just being formed.
There are some retrocausal implications as well, but some of these can be avoided using
reinterpretation rules. None of this however fixes the
problem of time in quantum mechanics but if we were to assume that somehow the problem of time arises from a dodgy theory then quantum physics may allow such a theory like the Transactional Interpretation which allows quantum wave's to undulate time in a symmetric fashion, both in the positive and negative time directions.
If time did exist, then the universe would be self-contained in respect to it. Self-contained time just means that universe experiences it's own unique time. One consequence of quantum mechanics that some physicists look into is parallel universe theory. In these universes, the meaning of self-contained time becomes important. To have so many universes, it would not make sense to say they were all ticking off the same proverbial clock. Time has been argued however to make more sense in a parallel universe picture.
So, as we have seen, time is not linear and it is not necesserily a real quantity. Nor does it necesserily have to exist outside of perception. It may be purely a subjective phenomenon. We have also seen that time may not even exist in the universe at large and how time is a series of starts and stops in quantum mechanics so there was no flow to time either. Now we are going to ask if there is a symmetry in time which physicists call the ''Collapse.''
The Specious Present
The Specious Present is the phenomenon of local perception, the tagging of the evolution of events associated always to the present moment. Indeed, it seems evident that we human beings are inexorably stuck in this drift we call present time, but the strange illusion of past and future still persists in the psychology of the human being. It is psychological because of the identification it has been classed under. The psychological arrow of time purports to the linear nature of time in the subjective psyche, in other words, we can feel a past before us, and expect a future to happen. It creates the strange concept that somehow thoughts and feelings exist beyond the observer.
How does time not flow, we move from the past, present to future, right?
No.
Time cannot move us, it has no flow. If time is a real thing, and not a subjective phenomenon then surely we move through time, not the other way around?
There are two main reasons why time does not have an arrow, a directionality or a flow. Serious reasons no less:
1) To define some definate arrow from the past into the future, there needs to be a point in where everything came from to define some direction in space. Direction does not exist in space. Equally there is no center to the universe according to current understanding, every point on the spacetime map would be the center to the universe.
2) Time does not have a flow according to current physics belief.
The last concept I found out was used in a strong arguement against the arrow of time:
http://www.motionmountain.net/download.html
"Time is a concept introduced specially to describe the flow of events around us; it does not itself flow, it describes flow. Time does not advance. Time is neither linear nor cyclic. The idea that time flows is as hindering to understanding nature as is the idea that mirrors Page 71 exchange right and left. The misleading use of the expression ‘flow of time’, propagated first by some flawed Ref. 36 Greek thinkers and then again by Newton, continues. Aristotle (384/3–322 bce), careful to think logically, pointed out its misconception, and many did so after him. Nevertheless, expressions such as ‘time reversal’, the ‘irreversibility of time’, and the much-abused ‘time’s arrow’ are still common. Just read a popular science magazine chosen at random.''
Finally, how can time move us from past, present to future, when by definition the present time is all there is? We don't exist in the past, nor do we exist in the future, we are always stuck in the present moment.
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.