Topology

1601 Submissions

[2] viXra:1601.0106 [pdf] submitted on 2016-01-10 13:54:58

What We Can do with Propositional Quantum Logic and a Functor in a Classical Propositional Calculus

Authors: Alex Patterson
Comments: 4 Pages. Paper 1, of program.

Using Functor Substitutability for the basis of creating an intuitionist interpretation of the results of that subscribe. Laying the Grounds for Challenging Goedel's Incompleteness Theorems with the Aspects of the Poincare Group. Proceeding with: Propositional Quantum Logic, Transitioning “Non-Commensurable” Smoothly to Functor-Auxiliary Substitutability and Detachment.
Category: Topology

[1] viXra:1601.0031 [pdf] submitted on 2016-01-05 10:40:24

A Remark by Atiyah on Donaldson's Theory, ap Theory and Ads/cft Duality

Authors: H.E. Winkelnkemper
Comments: 7 Pages.

Using Artin Presentation Theory, we mathematically augment a remark of Atiyah on physics and Donaldson's 4D theory which, conversely, explicitly introduces the theoretical physical relevance of AP Theory into Modern Physics. AP Theory is a purely discrete group-theoretic, in fact, a framed pure braid theory, which, in the sharpest possible holographic manner, encodes all closed, orientable 3-manifolds and their knot and linking theories, and a large class of compact, connected, simply-connected, smooth 4-manifolds with a connected boundary, whose physical relevance for Atiyah's remark we explain.
Category: Topology