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Topic: What are space and time?
Replies: 184   Last Post: Nov 19, 2012 9:14 PM

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GSS

Posts: 9
Registered: 12/24/08
Re: What are space and time?
Posted: Jul 8, 2010 11:53 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Jul 8, 2:19 pm, harald <h...@swissonline.ch> wrote:
> On Jul 8, 4:40 am, Immortalist <reanimater_2...@yahoo.com> wrote:
>

> > What sort of things are they if they are things?
>
> > One natural answer is that they comprise continua, three-dimensional
> > in the case of space, one-dimensional in the case of time; that is to
> > say that they consist of continuous manifolds, positions in which can
> > be occupied by substances and events respectively, and which have an
> > existence in their own right.

>
> "Existence in their own right"? First of all they are human concepts,
> based on physical phenomena. See for example, "The evolution of space
> and time" of Paul Langevin (translation is still work-in-progress): >http://searcher88.wikispaces.com/Langevin1911
>

Our universe exists in a three dimensional space, and experiences
continuous changes with the 'passage' of time. We can only depict the
history or record of such changes (or make predictions of some
futuristic changes) with the aid of a four dimensional space-time
manifold as a mathematical model. Spacetime is not a physical entity.
https://sites.google.com/a/fundamentalphysics.info/book/Home/book_files/chapter8.pdf?attredirects=0&d=1

Introduction. Most followers of Relativity theories consider the
spacetime continuum to be a physical entity which can even be deformed
and curved. This misconception is quite deep rooted in the
metaphysical eternalist viewpoint of existence in contrast to the
logical presentist viewpoint. As per the eternalist viewpoint, a so-
called material object in a spacetime world is a continuous series of
spacetime events, each of which exists eternally as a distinct part of
the world. There is no distinction between the past, present and
future. We may refer to it as a block view of spacetime. As per the
presentist viewpoint, the present moment is different from the past
and future and that physical entities exist only in the present. The
physical phenomenon does not exist in the past and the future regions
of time. The foundations of General Theory of Relativity (GR) are
critically dependent on the integrity of the notion of spacetime
continuum. Actually, spacetime is just a mathematical notion which has
no physical existence.

The Coordinate Space. The association of the set of points P on
coordinate line X with the set of real numbers x, constitutes a
coordinate system of the one-dimensional space, once the notion of
certain unit length has been defined. The one-to-one correspondence of
ordered pairs of numbers with the set of points in the plane X^1X^2 is
the coordinate system of the 2D space consisting of points in the
plane. Similarly, with a predefined notion of unit length, an
essential feature of 3D space is the concept of one-to-one
correspondence of points in space with the ordered sets of real
numbers. The predefined notion of unit length or scale for different
coordinate axes constitutes the metric of space for quantifying the
notion of distance and the position measurements of the sets of points
in this coordinate space.

We define a space (or manifold) of N dimensions as any set of objects
that can be placed in a one-to-one correspondence with the ordered
sets of N numbers x^1, x^2,..., x^N. Any particular one-to-one
association of the points with the ordered sets of numbers is called a
coordinate system and the numbers x^1, x^2, ...., x^N are termed the
coordinates of points. In all coordinate spaces that are metricized,
we associate the notion of unit length along all coordinate axes and a
metric tensor gij with each coordinate system. All essential metric
properties of a metricized space are completely determined by this
tensor.

GSS
http://book.fundamentalphysics.info/




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