Date: Jul 7, 2010 12:57 PM
Author: Daryl McCullough
Subject: Re: Preferred Frame Theory indistinguishable from SR
Tom Roberts says...
>Daryl McCullough wrote:
>> Having said that, we can define a special group of coordinate
>> systems for the Euclidean plane---the Cartesian coordinate systems,
>Right. They are the ANALOGY of the inertial frames in relativity.
> But they don't form a group, they form a set or a class.
> "Group" is a technical word with a different meaning than
> you intended. The transforms between pairs of such coordinates
> form a group.
I was not meaning "group" in the technical sense, I was just meaning it in the
sense of a collection. But actually, don't they form a group? The various
Cartesian coordinate systems are related by operations such as (1) translations,
(2) rotations, (3) scale transformations. Couldn't they form a group?