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Re: A Geometrical Proof of the Non-invariance of the Spacetime In terval



If I understand you correctly, you say that F' claims breakfast occurs in
his stomach and lunch occurs in is stomach.

But where is his stomach?

In what city do the two people F and F' say breakfast occured in? According
to SR (special relativity) in your opinion?

Joel Rauber

-----Original Message-----
From: David Rutherford [mailto:drutherford@SOFTCOM.NET]
Sent: Friday, January 17, 2003 12:39 AM
To: PHYS-L@lists.nau.edu
Subject: Re: A Geometrical Proof of the Non-invariance of the
Spacetime
Interval


Michael Burns-Kaurin wrote:

Relativity does not put the location of your breakfast in
two different
places. Breakfast occurred where it occurred, at a
particular time. Both
sets of observers agree that breakfast occurred at Los
Angeles, at you. At
lunchtime, you are now in San Diego, but that does not put
the location of
breakfast in San Diego.

It does for "you". The measurement of the _spatial_ separation
(distance) between breakfast and lunch in each frame is necessarily
instantaneous in each frame. The measurement is made at the time of
lunch since, before then, the distance between lunch and dinner is
unknown. That means that the locations attributed to the event
"breakfast" are Los Angeles for the earthbound frame (F), and San
Diego for the travellers frame (F'), since for F', breakfast and lunch
occur at the same place.

Say that F' stops at the time of lunch in San Diego. Since he claims
that breakfast and lunch were in the same place, he then
proclaims aloud
"this is where breakfast occurred" (San Diego). At the
_same_time_ a guy
in F, standing in Los Angeles, shouts "no, this is where breakfast
occurred" (he's slightly precognitive). But since F' has
stopped, he can
claim to be in F, which means that breakfast is claimed to have
occurred at two separate places in F. If breakfast is at two separate
places in the same frame at the same time, then it is at two separate
locations in spacetime.

--
Dave Rutherford
"New Transformation Equations and the Electric Field Four-vector"
http://www.softcom.net/users/der555/newtransform.pdf

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"Proposed Quantum Mechanical Connection"
http://www.softcom.net/users/der555/quantum.pdf