Groups > sci.physics.relativity > #390136

Re: The cones of Gauss

From	Thomas Heger <ttt_heg@web.de>
Newsgroups	sci.physics.relativity
Subject	Re: The cones of Gauss
Date	2016-08-16 22:43 +0200
Message-ID	<e1hc79Ftpg8U1@mid.individual.net> (permalink)
References	(3 earlier) <e17oh1Fkbs9U1@mid.individual.net> <a4bf9449-ddad-4f41-814a-97eebf39ca4a@googlegroups.com> <e1abuhF8oukU1@mid.individual.net> <f66eb145-3f4a-4fd9-a5cb-288aa85e38a5@googlegroups.com> <59c931d3-7819-482b-90de-3f354f100ba4@googlegroups.com>

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Am 14.08.2016 16:41, schrieb David (Time Lord) Fuller:
> Apollonian gasket
>
> https://en.wikipedia.org/wiki/Apollonian_gasket
>
> http://i59.tinypic.com/35hlj05.jpg
>
> Isometric Perpendicularity to the orthogonal surface
> http://i68.tinypic.com/2lcxw7t.jpg
>
>
> The three generating circles, and hence the entire construction, are determined by the location of the three points where they are tangent to one another. Since there is a Möbius transformation which maps any three given points in the plane to any other three points, and since Möbius transformations preserve circles, then there is a Möbius transformation which maps any two Apollonian gaskets to one another.
>
> Möbius transformations are also isometries of the hyperbolic plane, so in hyperbolic geometry all Apollonian gaskets are congruent. In a sense, there is therefore only one Apollonian gasket, up to (hyperbolic) isometry.
>
> The Apollonian gasket is the limit set of a group of Möbius transformations known as a Kleinian group.


I would agree, that 'Apollonian gasket' seem to be important.

But my own approach uses a different group and that is the rotation 
group SO3.

I assume, that spacetime is real and is composed from pointlike 
elements, which behave like complex four-vectors (or bi-quaternions).

These points have features, which are like a vector attached to that 
point. The points interact trough multiplicative connection and that 
could be understood as if these elements would twist each other in a 
specific way.

This makes these pointers (amplitudes) build timelike stable patterns. 
And such patterns are, what we call 'matter'.

TH

Thread

The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-10 19:49 -0700
  The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-10 20:25 -0700
    The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-10 20:30 -0700
      The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-10 20:51 -0700
        Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-10 21:10 -0700
          Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-10 21:15 -0700
            Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-11 05:37 -0700
        The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-10 21:12 -0700
  Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-11 07:32 +0200
  Re: The cones of Gauss "Dono," <sa_ge@comcast.net> - 2016-08-10 22:36 -0700
  Re: The cones of Gauss "Dono," <sa_ge@comcast.net> - 2016-08-10 22:53 -0700
    Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-10 23:28 -0700
      Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-11 08:40 +0200
        Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-11 00:38 -0700
          Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 07:00 +0200
            Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-11 22:13 -0700
              Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 08:19 +0200
                Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-12 00:17 -0700
                Re: The cones of Gauss mlwozniak@wp.pl - 2016-08-12 00:32 -0700
                Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 11:33 +0200
                Re: The cones of Gauss mlwozniak@wp.pl - 2016-08-12 03:13 -0700
                Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 13:32 +0200
                Re: The cones of Gauss mlwozniak@wp.pl - 2016-08-12 05:20 -0700
                Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 14:40 +0200
                Re: The cones of Gauss mlwozniak@wp.pl - 2016-08-12 05:59 -0700
                Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 16:09 +0200
                Re: The cones of Gauss Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-12 21:12 +0200
                Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 21:32 +0200
                Re: The cones of Gauss Virgil <VIRGIL@VIRGIL.com> - 2016-08-12 13:53 -0600
                Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 22:15 +0200
                Re: The cones of Gauss Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-12 22:30 +0200
                Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-12 13:14 -0700
                Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-12 22:16 +0200
                Re: The cones of Gauss Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-12 22:36 +0200
                Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-12 13:51 -0700
                Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-12 14:01 -0700
  Re: The cones of Gauss Poutnik <poutnik4nntp@gmail.com> - 2016-08-11 08:01 +0200
  Re: The cones of Gauss bartekltg <bartekltg@gmail.com> - 2016-08-11 10:55 +0200
  Re: The cones of Gauss Odd Bodkin <bodkinodd@gmail.com> - 2016-08-11 09:41 -0500
    Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-11 18:46 -0700
      Re: The cones of Gauss Odd Bodkin <bodkinodd@gmail.com> - 2016-08-12 07:16 -0500
  Re: The cones of Gauss Thomas Heger <ttt_heg@web.de> - 2016-08-12 06:16 +0200
    Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-11 22:37 -0700
      Re: The cones of Gauss Thomas Heger <ttt_heg@web.de> - 2016-08-12 22:54 +0200
      Re: The cones of Gauss Thomas Heger <ttt_heg@web.de> - 2016-08-13 07:11 +0200
        Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-13 05:38 -0700
          Re: The cones of Gauss Thomas Heger <ttt_heg@web.de> - 2016-08-14 06:55 +0200
            Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-14 06:23 -0700
              Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-14 07:41 -0700
                Re: The cones of Gauss Thomas Heger <ttt_heg@web.de> - 2016-08-16 22:43 +0200
                Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-17 10:01 -0700
                Re: The cones of Gauss Thomas Heger <ttt_heg@web.de> - 2016-08-18 07:37 +0200
    Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-12 07:54 -0700
  Re: The cones of Gauss Sylvia Else <sylvia@not.at.this.address> - 2016-08-18 17:35 +1000
    Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-18 08:35 -0700
    Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-18 17:52 -0700
      Re: The cones of Gauss "David (Time Lord) Fuller" <fuller.david@hotmail.com> - 2016-08-18 18:35 -0700
      Re: The cones of Gauss Tom Roberts <tjroberts137@sbcglobal.net> - 2016-08-18 20:37 -0500
        Re: The cones of Gauss Peter Riedt <riedt1@yahoo.co.uk> - 2016-08-18 18:52 -0700
          Re: The cones of Gauss pnalsing@gmail.com - 2016-08-18 19:29 -0700
          Re: The cones of Gauss Odd Bodkin <bodkinodd@gmail.com> - 2016-08-19 07:34 -0500
        Re: The cones of Gauss Sylvia Else <sylvia@not.at.this.address> - 2016-08-19 12:26 +1000
      Re: The cones of Gauss Odd Bodkin <bodkinodd@gmail.com> - 2016-08-19 07:31 -0500

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