Smile. I'm not understanding how defining "now" as one of these delta-T's is very helpful. It has been a given from the start that there are small "fuzzy" difference in how we perceive "now".
It is often helpful to determine the limits or extents of some consideration and if it can or indeed must have some particular extents. I’m not sure what constitutes a “small "fuzzy" difference” but it just seems a way of dismissing any difference by labeling them as “small” and/or “fuzzy”, particularly when the differences can be quite specific and even large enough to be ascertainable by our own rather “fuzzy” perceptions.
It's so fascinating to me to see this question through two lenses at once. One lens is very much like yours - I too don't see any real significance to the concept of "now" in physics. In the other lens, I see the concept of "now" as fundamental to our experience of the universe, as significant as anything else we perceive (even if hard to measure meaningfully in scientific terms). That disparity is exactly what prompts the question. It would be cool to have some more convergence, and maybe one day that will happen.
Now is a significant concept in physics, it is when things happen between what has happen and what may/will happen and again it is just one now which we all share that has no significance in physics. Do you still perceive your “now” as such or have you in fact rescinded that requirement as your pervious post indicated?
I've enjoyed the chance to refine my own understanding by contrast to some of the sharp minds here. Various explanatory approaches have occurred to me and I've tried them, with interesting results, even when letting myself get sidetracked.
Let me try one more which popped into my head. Since you like delta T, how long ago, or how far into the future, is 2am Wednesday morning Jan 12, 2011 PST, as you read this?
I’m not sure what you think “like” has to do with it and I have certainly never expressed any preference for a now that has some temporal extents over one that does not. However science is quantitative so one way of scientifically exploring and comparing different concepts of “now” is looking at how they may differ, well, quantitatively.
Currently it is 16:02 EST Jan 12, 2011. You can do the math if you actually need or would like a delta T.
For me it's 4 minutes ago as I write, but will be different later.
So you got a different answer and will have another different one later. Will there ever be a “now” forthcoming where you won’t have a different answer than before?
Is that concept meaningful to you?
I’m not sure what concept you are referring to? That you will have a different answer (to some degree accuracy) each time you ask what is essentially the question ‘what time is it now?’?
If so you are measuring the time difference between (1) a fixed time,
Yes the fixed time you gave..
“2am Wednesday morning Jan 12, 2011 PST,”
Yes the answer to your question which was basically what time was it for me as I read you question.
What is that something else?
The time that I read your question, 16:02 EST Jan 12, 2011, another fixed time once I did read your question.
If there is no special "now" time because any moment is or has been a now just like any other, then how can you measure the time between a fixed point and "now" and get one answer rather than an infinite number of equally plausible answers?
Because the “one answer” is only between two fixed points in time.
The time that I am replying to this question is 16:11 EST Jan 12, 2011, another answer and fixed point in time that you can apply to your previously given “2am Wednesday morning Jan 12, 2011 PST,”. Just as you will get a different answer each time you ask just yourself ‘what time is it now’.
Yes, I know, it's just like "here" and the distance from "here" to the statue of liberty. Except as you read this sentence, the time delta has changed, because your "now" point changed position in a predictable way along the time axis.
Predictable? Well today has been anything but predictable, so you’ll have to excuse me for a while…
OK I’m back, it is “now” 20:55 EST Jan 12, 2011, sorry about that, but as unpredictable as that delay was, had I been traveling at varying relativistic speeds or in some intensely varying gravitational field it could have been even more so. Even if we had synchronized our watches at the first time and agreed I’d be back in four of my (or your) hours.
Nope, again your four hours need not be mine nor mine yours, I’m not sure why you keep glossing over this fact.
And if I call you on the phone, we'll both agree, within some fraction of a second due to relativistic, mechanistic, quantum, and physiological factors, on the difference in time from 2011-01-12 02:00:00 PST and the "now" we both happen to arbitrarily pick out of a time continuum where no point is different than another. And if we talk roughly a day later, we'll again agree that by great coincidence, both of us have again chosen to experience an arbitrary "now" point the same number of hours "since" 2011-01-12 02:00:00 PST.
While we certainly could agree and our originally synchronized clocks could still be synchronized after some period of time in one of our reference frames, neither ourselves nor our clocks are required to remain in such an agreement. You seem to be operating under the impression that these “relativistic, mechanistic, quantum, and physiological factors” must all amount to some “fraction of a second” that you can simply dismiss as your small "fuzzy" difference.
That is what I mean by a shared now. It's not precise, but it's also not arbitrary. When we communicate in what we call "real time" with only minor delays, we happen to pick the same number of minutes since a fixed time as our shared "here" on the time axis.
It is arbitrary as we can use my reference frame or yours as some frame of reference and your shared now is simply not physically definable as we need not (and in some cases won’t) agree on the “same number of minutes since a fixed time".
We will both say "it has been 12 hours and 22 minutes since T0"; even if we would disagree at the nanosecond level, neither of us on the phone call is going to say "that's 6 hours in the future" or "that was three years ago". The point on the time axis which we label as "now" moves at close to the same rate for each of us. And we cannot do anything to stop, slow, or reverse that increasing time delta between T0 and what we call "now" (or decreasing time delta if T0 were in the future).
Well that’s the rub of it Zeph, I might well say I’m just 6 more hours into my future while it was three of your years ago that we last talked. Time is relative, that point still seems to be escaping you.
Physics is great at "it took 3 hours to melt" or "it will take 3 hours to melt", but there is no real concept of "3 hours ago" in physics, because that would measuring time relative to a meaningless point on the t axis. You all have reinforced that concept very well. Yet we human find "3 hours ago" a very meaningful and even useful concept, just like "next week".
What makes you think "3 hours ago" isn’t a useful concept in physics. If physics says "it took 3 hours to melt" then it also says that the temporal measurement started, well, "3 hours ago".
The closest I've come so far to finding to a physical explanation seems a little bit weak, at least to my understanding. Much of physics considers that the only assymmetry to explain the arrow of time is entropy, but as far as I've followed that discussion so far it is more like "it must be due to entropy because we don't have any other assymmetry as a candidate, but we don't know how it works and cannot measure it".
Ever hear of
Spontaneous symmetry breaking? Though it is still related to increasing entropy, much like the fixed point in time once the question “what time is it now” is answered; similarly the probability of some outcome is 100% once that outcome has occurred. What might have been a symmetrical probability of outcomes has become the asymmetrical result. Just as when asked what time it is "now" earlier I gave an answer that was earlier than that that was the answer to the same question later.
We can "perceive" - albeit imprecisely - the past because it has less entropy, but not the future because it has much entropy. This is intriguing and I'll keep reading about it. I do not really find it sufficient however. Look at how assymmetric it is - we can "perceive" or measure or record information from billions of years into the past, but not even a nanosecond into the future. Is the entropy of every local frame really increasing that fast? Can anybody show me how Shannon's equations account for this degree of assymmetry?
That would be a limitation of our perceptions; the universe is not bound by our perceptions. Check out
Wheeler-Feynman absorber theory. Physically “now” could be as much of the past as it is the future.
Once we see that physics really does not (yet) seem to have much handle on explaining the difference between "future" vs "past", we see that it also has no real handle on "now" as the changing junction between those - the moving point on the timeline where the incredible entropy of the future (which blinds us) becomes the manageable entropy of the past (which we can "remember" or measure).
You keep making such assertions and claim “that physics really does not (yet) seem to have much handle on explaining the difference between "future" vs "past", then give an example of such a physical distinction between "future" vs "past", changing entropy but still seem unsatisfied by such a physical distinction. Again this leads me to believe that what you are looking for really is an answer in more of a philosophical basis.
I regret that I let the conversation drift into things like relativistic time frames, and I appreciate the patience of those like yourself who tried to clue me in as to why a precise "shared now" is not possible (which I already knew, but you were not aware of that so you get credit). I did not have all this very well thought out yet (and I realize you are probably convinced I still have no clue
Sorry but you still don’t seem to be aware of it as you still seem to be trying to posit that notion. Oh, I think you have a clue and that might be the problem you don’t seem that interested in a philosophical discussion (as well I can understand) but that seems to be the type of answer you might find more satisfying.
But we were talking about different levels of precision in defining "shared".
Physically define your “shared” “now” to any precision that suits you.
You are correct that even when at rest relative to each other we are incapable of agreeing on the meaning of any arbitrary time point ("now" or "then") to infinite precision, due to speed of light delays, time quanta, and perhaps physiological delays of milliseconds. That's a truism of a sort - in the sense that I'll also grant that there is no truly meaningful single time which is exactly 2011-01-12 02:00:00 PST. So it's only in a very practical but relativistically meaningless that we can ever give meaning to any timestamp.
I have never said anything about some “infinite precision”. Define the physical or other constraints you want to work under and we can discuss your “now” under those constraints. If not then the comparatively unconstrained philosophy of now may be what you are seeking. However mathematically (as a point) with no time expanse itself “now” would be, well, infinitely precise.
I'm referring to the fact that when we talk with each other, we can speak of "yesterday" as if we were talking about the same day - as if "my now minus around hours" somehow relates meaningfully to "your now minus around hours", despite both "now" either being illusions or arbitary.
Your yesterday could be my last year, in spite of your regrets about the relativity of time it is a highly relevant issue to any discussion of “now” and a demonstrable occurrence.
It's almost as if we were on the same time elevator, and both defined "now" as approximately the same T, rather than each independently picking an arbitrary T for our personal "now" which is in no way distinguished from any other T. But I see nothing in physics which could explain why we'd be on the same elevator - why our "now" would stay roughly in sync even as our "here" doesn't. Relatively does explain why our "now" can never be precisely in sync, but I'm seeing no explanation for why my "now" shouldn't be completely different and not even vaguely correlated to yours, similar to my X,Y,Z.
Almost, but it isn’t, we do not have to be “on the same time elevator” and to some degree of precision we aren’t, just because we might be on the same floor now does not mean we are on “the same time elevator”. We can pick “an arbitrary T for our personal "now"” even pick some arbitrary method for measuring T which is only distinguished from any other T by being my or your T.
Pointing out that relativistically we can't have an exact shared now is about as relevant to what I'm saying as explaining to your spouse that exactly 2pm on Saturday is impossible to define given relativity, so you can't be late for a meeting at that time. It's true in some sense, but misses the point.
Zeph
Again I’ll keep pointing out the relativistic (and other) aspects as long as you seem to keep missing them. Time is relative; your perception is unreliable compared to available instrumentality. What you perceive as instantaneous or “now” occurs over some expanse of time that varies to degrees that you could even perhaps perceive yourself if you just weren’t so, well, “fuzzy” out those differences.