conway

I thank you for your genuine post. I hope you will forgive my lack of knowledge in the particulars you are asking about. If then division by zero is the thing itself, that is (A/0 = A). Then nothing is lost. In relation to homogenous spaces and the like. I can say that it seems akin. In that in given thing is a package of value and space. One within the other. Both are either defined or undefined, and so on. I have little skill in advanced mathematics. I can also say that since relative mathematics is addressing basic arithmetic, then assuming it is true, it is also true of all branches of mathematics. As mathematics is clearly a branched system. Lol I would say, maybe it isn't, in any case much work would need to be done to translate the consequences to the rest of mathematics. I suggest the need of it by physics as the necessity for its laborious adoption. Maybe the "need" of it by physics is not true. I would think it is however.

Division by zero is now defined. Zero can be used as a reference point. Physical reality now matches mathematical theory. There is a reduction in basic arithmetic axioms. Quantum mechanics may have find some use herein as well. That is the application of relative numbers.

I apologize for the inconvenience of the "attachment". The idea itself is theoretical in nature, not applied at all. But it can be used for the purpose of application. That is mathematics in general. The idea goes far beyond current field theory. Zero as a reference point (Uv + Ds), where as the defined space has been further defined in some form or fashion, is totally unique to current understanding and functions as a reference point on infinite number lines. . Additionally, a relative number being represented in a fibre bundle that is (Dv + Us) is not currently part of field theory. What is a particle in the start of superposition if not a ( Dv + Ds). Also understating that there is no definition for division by zero in field theory or mathematics. Where as relative mathematics defines all equations. Also I agree and thank "ajb", this does sit within the infinitesimals of differentials. Where as philosophically so do subatomic particles. That is to say values in tiny, tiny spaces. Telling me to "organize the existing enormous body of material within my own mind" is a bit of an insult and not relative to anything yet said by any party.

A short speculation on axiomatic arithmetic. Relative Mathematics.rtf