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

**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*

**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