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From: Gc on 21 Mar 2010 06:42
On 20 maalis, 22:17, JJ <sa...(a)temporaryinbox.com> wrote:
> Hi all,
>
> here is a question I wanted to ask about, regarding this concept of
> the Universe being 4-dimensional.
>
> The question is, how is this 4-dimensionality reflected in mathematic
> equations used to solve physics problems?
>
> For example, my understanding is (correct me if I am wrong) that
> before "time" was added as one of the dimensions, some of the
> calculations were done with just 3 dimensions and adding the dimension
> of time helped in solving some of the calculations. Are the dimensions
> in reflected in the equations as exponents of some kind?
>
> Thanks in advance,

In special theory of relativity, that I know something little of,
the time dimension is unlike the spatial dimensions. In Minkowski
space you have a (pseudo)inner product such that the norm power two ||
x||^2 is <x,x> = -x_0x_0 + y_1y_1 + y_2y_2 + y_3y_3, where x_0 is the
time component of the four-vector. So analogically with complex
numbers x_o is in Minkowski`s words "an imaginary dimension".
In classical mechanics I think you can add a time dimension, but it
changes "like a constant" respect to galileo transformation, so time
dimension is not really necessary. In special theory of relativity you
use the lorentz transformation, where you must take "changes of time"
in the consideration.
From: PD on 21 Mar 2010 14:09
On Mar 21, 3:18 am, Ste <ste_ro...(a)hotmail.com> wrote:
> On 20 Mar, 20:48, BURT <macromi...(a)yahoo.com> wrote:
>
>
>
> > The universe is extened in the round surface of the 4th dimension.
>
> I do always wonder what people mean when they say "the 4th dimension
> is round". I find it's a statement almost devoid of meaning.

Mitch frequently says things that sound like they should mean
something but then nothing ever comes of it.
Of course, Mitch claimed to be the recipient of two Nobel prizes in
2009, so that may have something to do with it.

>
> If all it means is "history repeats itself", then it would be more
> meaningful to simply say that, rather than evoking "circular" physical
> imagery and leaving the reader to try and work out whether "round" is
> to be interpreted literally, or merely metaphorically (i.e. "history
> repeats itself").
>
> Perhaps the reason physicists like to ask questions like "what shape
> is time" is because it gives a concrete mathematical veneer to the
> whole thing, and also makes the questions sound novel. Whereas if they
> simply asked the question "does history repeat", the question would
> seem so trite and philosophical.

From: BURT on 21 Mar 2010 14:56
On Mar 21, 11:09 am, PD <thedraperfam...(a)gmail.com> wrote:
> On Mar 21, 3:18 am, Ste <ste_ro...(a)hotmail.com> wrote:
>
> > On 20 Mar, 20:48, BURT <macromi...(a)yahoo.com> wrote:
>
> > > The universe is extened in the round surface of the 4th dimension.
>
> > I do always wonder what people mean when they say "the 4th dimension
> > is round". I find it's a statement almost devoid of meaning.
>
> Mitch frequently says things that sound like they should mean
> something but then nothing ever comes of it.
> Of course, Mitch claimed to be the recipient of two Nobel prizes in
> 2009, so that may have something to do with it.
>
>
>
>
>
> > If all it means is "history repeats itself", then it would be more
> > meaningful to simply say that, rather than evoking "circular" physical
> > imagery and leaving the reader to try and work out whether "round" is
> > to be interpreted literally, or merely metaphorically (i.e. "history
> > repeats itself").
>
> > Perhaps the reason physicists like to ask questions like "what shape
> > is time" is because it gives a concrete mathematical veneer to the
> > whole thing, and also makes the questions sound novel. Whereas if they
> > simply asked the question "does history repeat", the question would
> > seem so trite and philosophical.- Hide quoted text -
>
> - Show quoted text -

The 4th dimension has a surface that is the expanding universe.

Mitch Raemsch
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