I am pleased to announce the recent publication of my book:
“Patterns in Physics, Toward a Unifying Theory”, by Rejean Plamondon, 214 pages; 49 figures.
Presses Internationales Polytechnique, June 2012.
The main message conveyed throughout the book is that the four basic interactive forces of physics, which are considered to be empirical facts, can be seen as emergent phenomena described by specific mathematical patterns, when seen through the appropriate representation and interpretation schemes. Similarly, in such a model, once a coherent set of physical units is defined, the values of the fundamental constants can be seen as numerical parametric patterns that can be predicted after taking into account the various projections that are required to perform these measurements as well as the physical environment and the specific context in which these estimates are made.
More specifically, in generalizing a statistical pattern recognition methodology, it is possible to point out some basic patterns that could contribute to bridging the gap between quantum mechanics and general relativity. The whole argument stems from two basic principles: the principle of interdependence and the principle of asymptotic congruence. It starts with an analogy between problem-solving methods in physics and the search for solutions in statistical pattern recognition. Based on this heuristic and analogical approach, a probabilistic version of the Einstein field equations is derived and a solution for the case of a weak-field symmetric massive object is proposed on the grounds of the central limit theorem and the Bayes’ law. The model has only one emergent characteristic feature, a constant parameter which can be associated to the intrinsic proper length or the space-time response of the physical system. The resulting field and potential equations can be seen as generalizations of Newton’s empirical law. Once incorporated in the metric it leads to very chllenging predictions, regarding for example the dark matter and dark energy.
Ecole Polytechnique de Montreal