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Topic: A mathematical theory of singularities!
Replies: 5   Last Post: Jun 11, 2013 3:05 PM

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Posts: 49
Registered: 12/16/09
Re: A mathematical theory of singularities!
Posted: Jun 10, 2013 6:39 PM
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On Jun 10, 4:38 pm, Victor Porton <por...@narod.ru> wrote:
> (I wrote about this earlier but then my definitions were imprecise. Now I
> have an exact mathematical theory.)
> I present my mathematical theory of singularities. It may probably have
> applications in general relativity and other physics.
> The definitions are presented in this short draft article:
> http://www.mathematics21.org/binaries/reduced-limit.pdf
> Before reading this article I recommend to skim through my research
> monograph (in the field of general topology), because the above mentioned
> article uses concepts defined in my book. My monograph is accessible from:
> http://www.mathematics21.org/algebraic-general-topology.html
> In short: I have defined "meta-singular numbers" which extend customary
> (real, complex, vector, etc.) numbers with values which functions take at
> singularities. If we allow meta-singular solutions of (partial) differential
> equations (such as general relativity) the equations remain the same, but
> the meaning of them changes. As such, we may probably get a modified version
> of general relativity and other theories.
> Please collaborate with me to apply my theory to general relativity (I am no
> expert in relativity) and share half of Nobel Prize with me (if the results
> will be interesting, what I don't 100% warrant now).
> Anyway, we now have an interesting topic of research: What's about solutions
> of differential equations in terms of meta-singular numbers?
> --
> Victor Porton -http://portonvictor.org

I like this idea.

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