Re: Vector field
From: Mike (eleatis_at_yahoo.gr)
Date: 02/03/05
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Date: 3 Feb 2005 13:42:51 -0800
Randy Poe wrote:
> Mike wrote:
> > That's what we are saying but you miss the point. Events in
spacetime
> > do not form a vector space because they do not have an inverse.
>
> The assignment of an origin is arbitrary. I can assign my
> current position at 4 PM Eastern time the coordinates
> (0,0,0,0).
>
> > A
> > requirement of a vector space V is that its elements have an
inverse:
> >
> > (X)+(-X) = 0
>
> So?
>
> With the above origin, an event with coordinates
> (1 m,1 m,1 m,10 m) happens 10 seconds after 4 pm,
> at a point just about at the upper right corner
> of my cubicle.
>
> The additive inverse: (-1, -1, -1, -10) corresponds
> to an event which happened 10 seconds before 4 pm,
> at about where my trash can is located.
>
> Since I'm very confident that my trash can existed
> at 10 seconds before 4 pm, I feel confident that
> both X and -X can meaningfully be assigned as
> spacetime coordinates for events.
>
> - Randy
Life goes on RP and your trash cannot be made back into that hungry man
dinner, id does not matter how many assignments of variable you make to
irrelevant events, like the next door dog barking, it's gone man and
boy.
Mike
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