madness said:
Are you implying that time does not physically exist without a thermodynamic gradient? I would prefer the view that time is something mentally constructed, that needs a thermodynamic gradient in order to function the way it does.
When you speak of time as a mental construct, I think you’re referring to our moment-by-moment experience of things happening. As distinct from the time-continuum pictured in physics, on which one would map a thermodynamic gradient.
Because the time-continuum is so fundamental in physics, there’s a strong tendency to assume that’s the only aspect of time that’s relevant. In order to push the “happening” aspect of time out of physics, it’s often treated as something our minds do, somehow, independently of the physical world. Looked at in a broader scientific context I think this makes no sense at all – but it serves the purpose of letting physicists treat time as something simple.
But the “happening” aspect of time is hard to dismiss in Quantum theory. And even in Relativity, there’s an important difference between the time-continuum and the proper time of any observer. To illustrate:
Mu naught said:
I've thought of time in the following way in the past. To simplify things a bit, imagine a two dimensional universe as simply a flat plane, you can call it the standard (x,y) plane.
Imagining time as a dimension, then time would constitute the z axis, or we could label it the 't' axis for simplicity. Now, if you think of this (x,y) plane as representing space, and the t axis representing time, then the flow of time, or arrow of time, is represented by this plane moving along the t axis in one direction.
Here we’re looking at the universe as if we could stand outside of space and time and observe it globally, like an object we can set on our desks and observe from all angles. Time is then pictured as another dimension of space – and as our calendars and historical time-lines attest, the is a very useful way to think about time.
However, this familiar picture misrepresents the way space and time are combined to make spacetime in Relativity. In this picture – assuming a “flat” spacetime – the “distance” between two events in spacetime would be the square root of x2+y2+t2, whereas in Relativity the invariant interval is the square root of x2+y2
minus t2. That is, we’re in Minkowski’s spacetime, not Newton’s.
The structure of Relativistic spacetime is very difficult to picture “from the outside”... but it’s not hard to see “from inside” – i.e. from my own point of view as an observer. What the minus-sign means is just that my present moment now contains events that are happening right around me, as well as distant events that happened some time ago. When I look at a star, my “now” includes an event on the surface of that star that's as distant from me in time as it is in space. Because of the minus-sign, the space-distance and time-distance offset each other.
There’s nothing “subjective” about this situation – we’re talking about the physical structure of spacetime, not a “mental construction”. But Relativity tells us that distant observers do not share the same “now” – the present moment each of us lives in is an essentially
local aspect of the structure of time. So even though for some purposes it makes sense to map the universe on a time-line, as if it were all “moving forward in time” as a single entity, that’s not how physical time actually operates. The physical context of my “now” is made up of events that just happened right around me, and the events “on my past light-cone” that are equidistant in space and time. Likewise what happens here and now is relevant only to what can happen close by and to possible events “on my future light-cone.”
So the physical structure of happening, in our world, is not at all like an x,y plane “moving” along the z-axis. It’s more like a complex web of events influencing other events nearby and far away. There is definitely still a “direction” of time, in a Relativistic universe – no event ever influences an event in the past. But the time of each observer is physically distinct from that of other observers.
My point is that even in Relativity – where we can still imagine what happens in the world in a classically deterministic way – the temporal structure of happening is complex. The global time-continuum is only one aspect of the physical structure of time. What we observe in our own local present moments reflects a different aspect of physical time, not something mysteriously created by our minds.