On 1/31/2014 11:05 PM, LizR wrote:
There seems to be a bit of confusion about this idea. Some people on the list seem to abhor the idea of a block universe, but when they attack the concept, they invariably go for straw men, making statements like "change can't happen in a block universe" (which are obviously nonsense, or Einstein et al would hardly have entertained the idea in the first place).

So, I'd like to maybe clarify what the idea means, and give them a proper target if they still want to demolish it.

A block universe is simply one in which time is treated as a dimension. So Newtonian physics, for example, specified a block universe, in which it was believed (e.g. by Laplace) that in principle the past and future could be computed from the state of the present. The Victorians made much of time being the fourth dimension, probably most famously in Wells' "The Time Machine". This was the Newtonian concept of a block universe, and was generally treated quite fatalistically (Wells didn't indicate that history could be changed, for example).

Then special relativity came along and unified space and time into space-time. The reason SR gives rise to a block universe is the relativity of simultaneity. You can slice up space-time in various ways which allow two observers to see the same events occurring in a different order. Hence there is no way to define a "hyperplane of simultaneity" that can be agreed upon by all observers as being a present moment. This indicates that space-time is a four-dimensional arena in which events are embedded. Indeed, I have never heard of an alternative explanation of the relativity of simultaneity that gets around this result - if it's correct, space-time is a block universe, that is to say, time is "just" another dimension.

I think you are reading too much into special relativity. What makes SR different is that only spacetime interval is meaningful, whereas for Newton both duration and distance were separately invariant. Sometimes you can work problems just in terms of the 4-intervals and 4-momenta and not introduce any coordinate system. The coordinates (t,x,y,z) that give a block-time picture are in principle dispensable (and they can even be misleading when t is identified as "the real time"). It's like giving locations on Earth latitude and longitude coordinates instead of citing a string of transit measurements and triangulations to give the relative location of two things. The latter is too messy to calculate with. But notice, that is exactly what GPS does. It locates every GPS receiver in spacetime in terms of 4-space triangulation relative to known orbital events. Then the receiver converts that to lat and long for our convenience.

So I would say that treating time as a dimension is a good way of looking at things, but it's not *forced* on us by SR.

Brent

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