Lost: Imaginary Time!

Sorry, I admit - I'm a LOSTEE! And I was absolutely intrigued at the concept of "Imaginary Time" mentioned by Faraday last night.

Being relatively ignorant to science, I googled it and found that it's a genuine theoretical concept introduced (or at least popularized) by Stephen Hawking in A Brief History of Time. I read his The Theory of Everything years ago, but don't remember if the idea of imaginary time was discussed at all. It was over my head.

I found this fascinating information on Wikipedia:

Imaginary time is difficult to visualize. If we imagine "regular time" as a horizontal line running between "past" in one direction and "future" in the other, then imaginary time would run perpendicular to this line as the imaginary numbers run perpendicular to the real numbers in the complex plane. However, imaginary time is not imaginary in the sense that it is unreal or made-up — it simply runs in a direction different from the type of time we experience. In essence, imaginary time is a way of looking at the time dimension as if it were a dimension of space: you can move forward and backward along imaginary time, just like you can move right and left in space.

The concept is useful in cosmology because it can help smooth out gravitational singularities in models of the universe (see Hartle-Hawking state). Singularities pose a problem for physicists because these are areas where known physical laws do not apply. The Big Bang, for example, appears as a singularity in "regular time." But when visualized with imaginary time, the singularity is removed and the Big Bang functions like any other point in spacetime.
Is your mind blown yet?

One might think this means that imaginary numbers are just a mathematical game having nothing to do with the real world. From the viewpoint of positivist philosophy, however, one cannot determine what is real. All one can do is find which mathematical models describe the universe we live in. It turns out that a mathematical model involving imaginary time predicts not only effects we have already observed but also effects we have not been able to measure yet nevertheless believe in for other reasons. So what is real and what is imaginary? Is the distinction just in our minds?
- Stephen Hawking
I'm really going to cry when this series is finished.

1 comment:

Eruesso said...

Me too. Big man tears.

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