Nigel wrote:

I use "absolute" in the sense that is commonly implied in the term "absolute quantity", where an absolute quantity is the measure of the absolute occurence of a variable, as in "so many volts, yards, kilos, etc.

Volts and yards, at least, are also not absolute measurements in the same sense that measurements of time are not absolute. Volts express the difference in electrical potential, and yards the physical separation, between two spatial points. But two points in space just define a spatial interval, precisely analogously to two points in time specifying a temporal interval (more below).

Whether or not one accepts that everything in the universe was initially collapsed into a singularity, even if we still haven't observed large parts of that "everything", it would seem that everything physical in that universe, including "space", fits my definition of "absolute". No matter how large or small, in one way or another, and in theory at least, it can be measured and quantified.

The properties of what we call "time", however, are unique and lie outside of that categorisation. Time as such, unlike everything else, is not a physical entity that would have been collapsed into that singularity but can only have come about as a consequence of the ongoing expansion of material out of it that followed the Big-Bang. I know I've laboured to death the point about measuring time intervals but that's because it's really all we have.

But that is no different than the other three dimensions of spacetime -- measuring intervals is all we have there, too. "One kilometer" is no different from "one second" in this regard -- in both cases, it is one unit *between* two places (we usually call places in time "events," but it's the same thing). If general relativity ("GR") is correct (and we have every reason to believe that it is), time is no different than space, although we perceive it quite differently. For example, in order to move about in the space dimensions we think we need to "do something," while we need to do nothing to move about in the usual way in the time dimension (and, indeed, have not figured out how to move differently in time or to stay in one place). But note that we are really hurtling through space at a good clip, without it being apparent to our natural senses -- and in comparison to this, we really haven't much power to move about in space, either. So, we could say that we have an initial velocity through both space and time when we are born, and our initial velocity through time is more apparent to our natural senses than our initial velocity through space -- but in reality, there is no difference between them.

When considering whether or not time exists, perhaps we should first ask exactly what we mean when we refer to "time", do events occur "within" time, for example, or is time merely a consequence of events occuring? If the latter then does time have any real existence other than as a convenience to describe sequentiality, is spacetime really an entity or just a mathematical convenience, etc etc?

In my view, these are all questions, not about time, but rather about our perception of time. At the end of the day, we have every reason to believe that GR is correct and, consequently, that spacetime is the fabric of the universe. Space and time are both altered, in complementary ways, by the great forces of the universe (gravity and acceleration -- time will tell whether the nuclear forces do so, as well, and there is some evidence to date that they may), implying that there is a conservation relationship that applies to the four dimensions collectively. But there is no difference in terms of the spatial dimensions being "absolute" and the temporal dimension not being "absolute" -- all of our measurements of the four spacetime dimensions are relative and "not absolute" in the sense you mean (although, as I've pointed out, by refering both back to the origin of this universe, which we have good reason to believe was a mathematical and physical point where this universe began, we could in principle at least have a master datum for all four dimensions, providing a form of absolutism).

The puzzle is why we perceive the spatial dimensions so differently from the temporal dimension. It is a fascinating question, but may not be fundamentally a question of the physics of spacetime.

Best regards,

Charles


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