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
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