Questioning the existence of infinities and continuum in mathematics and how their assumed existence affects the way we describe nature.

The pdf files of the above can be downloaded here.

An Answer to David Hilbert's 6th Problem

Dec

06

2022

Questioning the existence of infinities and continuum in mathematics and how their assumed existence affects the way we describe nature.

The pdf files of the above can be downloaded here.

Sep

11

2022

Quantum-Geometry Dynamics is a theory axiomatically derived from a minimal axiom set capable of describing dynamics systems.

Below is the latest version of the book I have written on the subject.

The book can be downloaded here.

Dec

05

2021

The usefulness of quantum-geometry dynamics as a physics theory depends entirely on whether its predictions can be tested, hence measured. This means that the quantities used in its equations must be expressible in measurable units.

In this is a chapter of the upcoming new edition of *Quantu*m-Geometry Dynamics*; An Axiomatic Approach to Physics*, we show how to bridge the fundamental discrete units predicted by QGD to conventional measurable units. This relies on measuring the one-way velocity of light we propose. Note that the hyperlinks it contains do not work as they refer to sections that have not been included here.

You can download the above by clicking here.

Jul

08

2021

This is a chapter of Quantum-Geometry Dynamics (an axiomatic approach to physics) that discuss locality and non-locality within the framework of QGD. It is meant for readers who are already familiar and understand the the basics of the axiomatic approach I propose. For those who are not familiar with QGD, reading at least the introductory chapters and work through the arguments is necessary to understand the material.

On-the-Relations-between-Local-and-Non-Local-InteractionsYou can also download this chapters from here.

Apr

15

2021

QGD predicts that particles have no intrinsic charge and that interactions between all so-called charged particles and with magnetic fields can entirely be accounted for by the electromagnetic interactions as its model describes. We also offer testable predictions and unique to QGD.

Note that the introductory chapters of *Quantum-Geometry Dynamics; an axiomatic approach to physics*, is a prerequisite to understand the section below.

Mar

28

2021

Preonics provides simple and realistic explanations of observations of so-called quantum entanglement experiments. Not only are QGD predictions consistent with such experimental observations but, unlike quantum mechanics, it precisely explains the mechanisms responsible for observed outcomes without violating the principle of locality.

Note that this is a section of *Quantum-Geometry Dynamics; An axiomatic Approach to Physics*.

Mar

11

2021

This is the updated chapter of *Quantum-Geometry Dynamics*; An Axiomatic Approach to Physics on quantum-geometrical space in which I propose a dynamic space discreteness and show Euclidian geometry emerges from it.

Feb

26

2021

From an axiomatic standpoint, there are two approaches to theoretical physics. The first aims to extend, expand and deepen an existing theory; which is what the overwhelming majority of theorists do. This approach assumes that the theory is fundamentally correct, that is, its axioms are thought to correspond to fundamental aspects of reality. Working from mature theories also demands in-depth knowledge of the subject, specialization, and leads generally to incremental advances.

The second approach, which is the one chosen here, is to create a new axiom set and derive a theory from it. If the axiom set, as is the case here, is distinct and exclusive, then it requires little knowledge of other theories. In fact, one must make sure that such knowledge will not interfere with the rigorous axiomatic derivations this approach requires (though it will be necessary at some point for the new theory to explain the tested predictions with mature theories). Most importantly, when sufficiently developed, such theory will need to be not only internally consistent and but consistent with model independent observations. This is where QGD is at now.

Below is the much updated version of *Introduction to Quantum-Geometry Dynamics*. QGD has continued to evolve as I got a better understanding of the implications of its axioms. This version, retitled Quantum-Geometry Dynamics (and axiomatic approach to physics) contains the most up to date derivations, all of which been checked to insure that they are consistent with QGD’s axiom set. Table of content entries are clickable.

It’s over 140 pages, so you might prefer to download it from here.

Jun

09

2019

Abstract We did not anticipate finding gravity from a *minimal axiom set capable of describing dynamic systems*. The axiom set we chose to study and which we introduce in this essay assumes that space is discrete, assumes the existence of single fundamental particle and only two fundamental forces; one repulsive and the other attractive. It is only after deriving Newton’s law of gravity from an equation for calculating the combined effects of those forces acting between objects that we realized the equation described gravity. Also, one of the most interesting consequences of the model derived from our axiom set is that anisotropies in the structure of space would have played a major role in the formation of particles and material structures.

The essay can be downloaded in PDF format by clicking here.

Feb

19

2019

In this new section of Introduction to Quantum-Geometry Dynamics, we introduce a cosmology that descriptions systems at all scales. This cosmology provides new insight in the genesis and evolution of the Universe and the structures it contains.

Cosmology-derived-from-QGD