We escape the problems of particle physics by exploring the higher dimensions of String theory. When we have questions about String theory, we jump to the higher dimensions of M-theory to answer them. And some have purposed to use the higher dimensions of F-theory to answer questions about M-theory.(adsbygoogle = window.adsbygoogle || []).push({});

Yet, we do have principles that apply no matter what dimensionality we go to. Path integrals, the action of the Lagrangians, Noether's theorem, various kinds of symmetry, the geodesics of General Relativity. All these principles are applicable at every level of dimensionality we explore, and they are all expressible in terms of the functional calculus of variation. Least action is where the functional derivative is zero. The path integral is a functional integral integrated over the variation of a function.

But functional calculus is not well understood yet. Integrating over function spaces that include the function and how it may vary is not well defined. It has yet to be developed whether even functional differentiation is the inverse of functional integration. I think more study needs to be given this subject.

I am attempting to develop physics from logic. Your insights are

appreciated.

More at:

http://www.sirus.com/users/mjake/StringTh.html [Broken]

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# The math of physics - Calculus of Variation?

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