- #1

Jack

- 108

- 0

Also could someone please explain, as simply as possible, the concept of imaginery time?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Jack
- Start date

- #1

Jack

- 108

- 0

Also could someone please explain, as simply as possible, the concept of imaginery time?

- #2

chroot

Staff Emeritus

Science Advisor

Gold Member

- 10,275

- 40

The idea of multiple histories is best summed up by the Feynman path integral formulation of quantum mechanics. This technique basically says the following:

Set up two walls, with one hole in each. Fire some particles at the first wall; some of the particles come through, and some of those come all the way through the hole in the second wall, too.

There are a large number of possible trajectories between the first and second holes; all of the particles that emerge from the second hole followed one of those trajectories. The Feynman path integral formulation says that

As far as imaginary time, it's just the extension of the real time coordinate to the complex plane. Quantum mechanics is based on complex quantities, but it is stipulated that the final results of all computations must be real (after all, we believe that all physical quantities are real). Imaginary time is, in my opinion, just mental masturbation: it probably means nothing, but it leads to some interesting stuff. Physicists worry about whether or not a model produces verifiable results; even if you use weird cogs in your machine, your machine is valuable if it works. I don't know if Hawking's complex time models actually produce any falsifiable predictions -- but I don't usually worry much about what he says.

- Warren

- #3

E8

- 26

- 0

- #4

Jack

- 108

- 0

Originally posted by E8

I do not feel that he explains stuff well enough and I don't really like him much because he does seem a bit arrogant to me and that is just the impression I have after reading his books. However I have read 'A Brief History of Time and 'The Universe in a Nutshell' because I find the content of his books very interesting even if it is a bit confusing.

- #5

chroot

Staff Emeritus

Science Advisor

Gold Member

- 10,275

- 40

If you're looking to learn something, yes, they are a waste of time and money. If you're looking for pseudo-fictious and visionary meandering touched with a bit of hubris, they're just want you want.Originally posted by E8

- Warren

- #6

E8

- 26

- 0

If you're looking for pseudo-fictious and visionary meandering touched with a bit of hubris, they're just want you want.

Sweet, I am going to get my money's worth.

Seriously though I am going to go ahead and read the books, what specifically in each book should I throw out as pseudo-fictious?

What books in that nature would you recommend(other than Feynman)?

- #7

chroot

Staff Emeritus

Science Advisor

Gold Member

- 10,275

- 40

Pretty much everything between the front cover and the back cover.Originally posted by E8

Seriously though I am going to go ahead and read the books, what specifically in each book should I throw out as pseudo-fictious?

Go to your local college bookstore. Look at the texts the professors chose for their classes. Buy those books.What books in that nature would you recommend(other than Feynman)?

- Warren

- #8

The way I interperted imaginary time is the way he explained it in an earlier book. Think of time as a straight line, horizonal. Now add a vertical dimension to time. That led me to the possibility of three-dimensional time.

As for the multiple histories of the universe, I think that it means that there are many possibilities as for the history of the universe, and there are other parralel universes where these different histories occur.

- #9

Hurkyl

Staff Emeritus

Science Advisor

Gold Member

- 14,967

- 19

s^2 = -t^2 + x^2 + y^2 + z^2 is the usual length formula in special relativity, where t is "real" time. If we write the corresponding equation using "imaginary" time k where k = i * t, this equation becomes:

s^2 = k^2 + x^2 + y^2 + z^2

Basically, the point is to remove the asymmetry from the equations and put it in the representation.

Hurkyl

- #10

In considering n-dimensional space-time, can the time axis of the time-space coordinate system be placed anywhere? If not, why?

A plane is defined by any two perpendicular lines, 3-dimensional space by any 3 orthogonal lines, why not-space time by any 4 orthogonal x,y,z,t(time) lines?

- #11

selfAdjoint

Staff Emeritus

Gold Member

Dearly Missed

- 6,881

- 10

Here's an example, suppose you have two spacetime vectors (a

This formula for the inner product, with the time products having different signs than space products, is necessary to support the physics of relativity.

A more specific example, suppose you measure the momentum,

-e^2 + c^2p

Rearranging the terms we get the covariant law of energy e^2 = c^2p^2 _ m^2c^4.

- #12

Thanks for the reply. I understand your point that the time axis can be numbered in any way, and I also understand that the sign of the time axis is opposite the space dimensions. However, my question was really focused on the orientation of time axis.

Think of a movie. A movie is nothing but a series of two-dimensional representations that change over time. Each frame is a snapshot of a given moment. Now, imagine you were to take all those snapshots and stack them on top of each other. Assume you could section that stack of movie frames in a different way, say from one corner to the opposite corner. And then, what if you took these sections and showed them on a projector? What would you be seeing? You'd be seeing the universe of the movie from a different time line. It's just an expansion of the "block universe" view.

The "Block Universe" View

"Physicists prefer to think of time as laid out in its entirety - a timescape, analogous to a landscape - with all past and future events located there together ... Completely absent from this description of nature is anything that singles out a privileged special moment as the present or any process that would systematically turn future events into the present, then past, events. In short, the time of the physicist does not pass or flow." --Paul Davies, "That Mysterious Flow"

What I am asking is an expansion of the "block universe" concept, fron no privileged moments to no privileged time axis in spacetime.

Share:

- Replies
- 18

- Views
- 320

- Replies
- 2

- Views
- 1K

- Last Post

- Replies
- 4

- Views
- 692

- Last Post

- Replies
- 2

- Views
- 10K

- Last Post

- Replies
- 8

- Views
- 4K

- Replies
- 3

- Views
- 670

- Replies
- 54

- Views
- 2K

- Replies
- 18

- Views
- 2K

- Replies
- 4

- Views
- 1K

- Last Post

- Replies
- 1

- Views
- 932