Functoriality in Finitary Vacuum Einstein Gravity and Free Yang-Mills Theories from an Abstract Differential Geometric Perspective

Abstract

We continue ongoing research work on applying the homological algebraic conceptual and technical machinery of Abstract Differential Geometry towards formulating a finitary, causal and quantal version of vacuum Einstein Lorentzian gravity and free Yang-Mills theories.

This is an invited paper contribution to a Special Volume titled `Physical Geometry: Unravelling the Weave of Quantum Geometry' in memory and honour of Professor Anastasios Mallios, edited by Dr Elias Zafiris. Extended latest version includes two Addenda and an Appendix at the back