Physical Space is a Discrete-Continuous Dual Space of Varying Connectivity Dimensionality Field that Transcends Variable-Based Mathematics

Author: Thomas A. Manz <tom[a]space-mixing-theory.com>
Size: 10 pages (68 KB)
Reference: Journal of Space Mixing, 2011, 4, 1-10.

We show that developing a Theory of Everything (TOE) to unify all physical interactions requires a spacetime model having: (i) a discrete-continuous dual structure in which physical properties that could hypothetically vary continuously in some abstract sense are discretized upon measurement and (ii) a variable connectivity dimensionality field. Because this type of space transcends variable-based mathematics, we prove a TOE cannot be developed using only differential geometry and other variable-based mathematics. This completely rules out all forms of hidden variable theories. We disprove the holographic principle that posits all information contained in a volume of physical space is encoded on its boundary. Finally, we show how the variable connectivity dimensionality field gives rise to cross-dimensional projections between microstates that leads to the Second Law of Thermodynamics governing Nature’s irreversibility. We further show cross-dimensional projections are one mechanism for gauge invariance breaking. Finally, we postulate that electromagnetic fields arise from spacetime gradients in the average connectivity dimensionality deviation.

Keywords: connectivity dimensionality field, discrete-continuous duality, Second Law of Thermodynamics, cross-dimensional projections, hypercalculus, discrete-continuous dual spaces,Theory of Everything, transcending variable-based mathematics, Nature's irreversibility, non-holographic principle, regular isotopy invariant, average dimensionality deviation

Full-text: PDF
 

 

Physical Space is a Discrete-Continuous Dual Space of Varying Connectivity Dimensionality Field that Transcends Variable-Based Mathematics

By Thomas A. Manz

If you enjoyed this article, please consider signing up for courtesy email service which will notify you when new articles are posted to this web site. This email will contain the abstracts of new articles and a direct hyperlink to them. Your email address will not be used for any other purposes.

To subscribe, enter the security code, your first name and email address and hit submit. (You can always unsubscribe if you do not like the service.)

Retype Security Code: captcha

Your First Name:

Enter Email:


                                                      www.space-mixing-theory.com