The Rotating Disk as a TARDIS
- From: "e_erpelding@xxxxxxxxx" <e_erpelding@xxxxxxxxx>
- Date: 29 Aug 2006 21:17:18 -0700
The TARDIS from the Doctor Who television series is known for being
larger on the inside that it is on the outside. Indeed TARDIS is an
acronym for "Time And Relative Dimension(s) In Space".
The TARDIS could be dismissed as simply an imaginative creation of
science fiction, however, the idea of something being larger with
respect to one reference frame than with respect to another does have
real physical meaning.
Consider the old example of the rotating disk, the circumference has a
certain length L with respect to a non-rotating inertial frame, but
with respect to a reference frame fixed to the rotating disk, the
circumference measure L' is greater than L.
If one was lining up ball bearings next to each other along the
complete circumference of the disk, more ball bearings would be
required to "cover" the rotating disk circumference than the
circumference of the stationary disk. Hence the rotating disk is
"bigger" than the stationary one.
The point of this posting is merely to point out that the idea of the
TARDIS being larger inside than outside was quite clever and wasn't far
fetched at all.
.
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