I discovered a math theory which (among other things) gives an alternate interpretation of the equations of general relativity (something like to replacing real numbers with complex numbers in a quadratic equation).

This theory is a theory of limits in points of singularities and properties of singularities based on my theory of funcoids (a new General Topology theory).

A negative result (all solutions are trivial and thus not really interesting) is possible, but if we will come to a “positive” result, we will get Nobel Prize (and I want my half for the topological idea).

Read this VERY rough draft:

http://www.mathematics21.org/binaries/reduced-limit.pdf

(don’t worry if you don’t understand it, at the moment of writing this blog post it is a VERY rough draft and I am going to enhance its readability and post about it again).

To understand it you need first read my topological research monograph:

http://www.mathematics21.org/algebraic-general-topology.html

Experts in general relativity please collaborate with me.

A quote from reduced-limit.pdf:

“added solutions” would possibly characterize a “world above” described not with real numbers as our world but with singularities. This may or may not be of physical interest.

“alternate solutions” would characterize black (or white) holes with additional information hidden inside. This additional information may probably solve the well known paradox of information disappearing when it falls into a black hole.

“disappearing solutions” would mean that the laws of nature are possibly more restrictive than considered in more traditional physics. Could it resolve time-machine related paradoxes?

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It has failed for now. I have not found a way to define a nice topology (or more generally a nice funcoid) on the set of singularities, having a topology (or more generally a funcoid) on the set of finite numbers. It seems

verydifficult to define that induced topology.