Notice: QGD as greatly evolved since An Axiomatic Approach to Physics was written. I will keep the article and link below for reference, but most recent developments see Quantum-Geometry Dynamics; an axiomatic approach to physics.
Abstract
Quantum-geometry dynamics; a theory derived from a minimal set of axioms can describe, explain and predict the behaviour of dynamic systems.
First, we will introduce a set of axioms and corollaries which will be used to fundamentally define space, mass, momentum, energy and forces. This will be followed by a discussion of quantum-geometrical space and its geometry. Then, we will show how gravity emerges naturally from the axiom set and propose a new equation for gravity that can be applied at different scales. At the same time, we will provide quantum-geometrical interpretations of the laws of motion and use them to describe dynamic systems. We will follow by providing quantum-geometrical grounds for key predictions of special relativity, general relativity and Newtonian mechanics. Although quantum-geometry dynamics will be shown to be in agreement with physical observations and with the predictions of special and general relativity, quantum-geometry dynamics allows for distinct falsifiable predictions that set it apart from them.
Acknowledgements
I would like to acknowledge the editorial help of my good friends Mark Batten-Carew (first and longtime supporter of QGD) and Pete Bonkemeyer (enthusiastic new supporter), of mathematicians Ben Dribus and Keli Etscorn for their comments, impressions and for going over the math, and special thanks to physicist and friend Xiaoxiao Wang for his excellent suggestions, to astrophysicist Martín López Corredoira for taking the time to read this latest paper and encouraging me to continue my research and publish my predictions, and to Meng-Chwan Tan, for taking time from his busy schedule to provide needed advice. Thank you all for your open mindedness to new ideas.
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