Author: Thomas A. Manz <tom[a]spacemixingtheory.com>
Size: 10 pages (68 KB)
Reference: Journal of Space Mixing, 2011, 4, 110.
We show that developing a Theory of Everything (TOE) to unify all physical interactions requires a spacetime model having: (i) a discretecontinuous 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 variablebased mathematics, we prove a TOE cannot be developed using only differential geometry and other variablebased 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 crossdimensional projections between microstates that leads to the Second Law of Thermodynamics governing Nature’s irreversibility. We further show crossdimensional 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, discretecontinuous duality, Second Law of Thermodynamics, crossdimensional projections, hypercalculus, discretecontinuous dual spaces,Theory of Everything, transcending variablebased mathematics, Nature's irreversibility, nonholographic principle, regular isotopy invariant, average dimensionality deviation

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