Originally posted by CP5670
Ah I see, but why is time referred to as a fourth dimension then? From what you said, it doesn't really seem like a real dimension at all, but rather a physical limit like c, except that it varies with gravity fields. I think that the currently accepted theory says that the value of t at a gravitational singularity is always equal to ¥, which would leave a hole in space and therefore get rid of the time limit at that point.
Tau is a dimension because it forms a metric that can be used to localise any phenomenon in a regular geometric space. It is, in short, a fourth coordinate. Two events in the life of a moving particle can be localised by spatial and temporal coordinates, IE: Event A took place HERE at THIS time and event B took place THERE at THAT time. Relationships, both physical and mathematical, can be deduced from the numbers involved.
Mapping mathematical logic onto the real world is the entire purpose of the calculus. In that context, all functions, in all forms, relate change over time and change over space. What is the classic y=mx+b linear function, if not a relation of linear movement over time?
On a more physical note, tau only has its bottom limit at the planck time because of simple exclusion. Anything BEFORE the planck time is both unobservable and unable to have any effect on anything AFTER the plank time. Before the planck time, time could have run in a loop, taking 180 degree turns on every loop, but it doesn't matter. There is a disconnect.
On an unrelated note, does the second thermodynamics law (the entropy law) imply that at some point in time everything in the universe will turn into heat energy with uniform distribution?
'Entropy increases' does pretty much imply a heat death, at which a local variation of only a fraction of a Kelvin difference is observable between any two arbitrary regions of space. This enforces a condition of near perfect uniformity. Of course, that assumes an open- or flat-model universe. A closed universe, naturally, begins to contract and the heat death is reversed. Rather than an eternal chill, the whole thing shrinks until all mass/energy exists as superfluid plasma.