Innovation + Implementation℠

The Quantum Field Theory of the Fundamental Interactions

A Theory Beyond the Standard Model

to explain the origin of the fundamental fermions.

The Fundamental Particles

This theory, currently being researched by Nova Software, Inc., has the goal of explaining how all the known fundamental fermions* (and only those fermions) arise from the three known fundamental particle interactions. The Standard Model assumes the existence of the observed fundamental particles, and then is extremely successful in predicting the physics that ensues. Its theoretical framework, based on quantum field theory (QFT) and the local gauge invariance principle, does not, however, constrain the Universe to that observed set of fermions and their eigenvalues. Many others are possible within that framework. It's only experiment that picks out the particular set used in the Standard Model.

Theories "Beyond the Standard Model" often are based on additional interactions (forces) and/or fields (particles) beyond those currently part of the Standard Model, while preserving the QFT & gauge invariance framework. Some mechanism is typically included to explain why the added element(s) are not already readily apparent to us. That mechanism must be overcome in experiments to confirm predictions of the "new physics." This theory is different: It assumes that the interactions and particle spectrum of our Universe are only those already known. There is new physics waiting to be found, but not via the presently explored types of extensions. There is some evidence for this point of view from the fact that none of the many experimental searches based on the ideas to date has conclusively indicated new physics beyond the Standard Model. A lesson from history may be the unsuccessful search for the Ether, Newton's absolute frame, for many years. The answer to today's conundrum may likewise come from changes to one or more fundamental hypotheses.

In that spirit this theory goes beyond the Standard Model in a different direction by postulating a revised form of quantum field theory and local gauge invariance. It adds a hypothesis that enhances the role of the internal symmetry groups smooth manifolds and their U(1) X SU(2) X SU(3) product to the foundations of space-time. The observed sets of the fundamental fermions* and bosons** emerge as derived objects in a natural way from these hypotheses and their mathematical consequences. Those results then help to insure that the theory will be able to match the Standard Model's successes while providing a deeper understanding of how its fermions originate, and possibly provide new, heretofore unsuspected, testable results.

In its current form, in addition to QFT and the Standard Model, the Interaction Theory draws most heavily on mathematical results from the theories of topological groups and manifolds, homotopy theory, Lie groups and Lie algebras and differentiable manifolds. When complete the theory will be posted on a public pre-print server, published in an established physics theory journal, and made available by free download here to enable and encourage other researchers to further investigate its potential.

Summmary for a general audience: The current physics theory of the known fundamental particles, the Standard Model, explains extremely well how they interact via their strong, electromagnetic and weak interactions and the Higgs field. It does not, however, explain how the particular combination of observed fundamental particles and the pattern of their interactions, and only that combination and pattern, occurs. These facts are inserted into the theory "by hand" from what we see, rather than being derived from fundamental hypotheses. The Quantum Field Theory of the Fundamental Interactions is being researched at Nova Software, Inc., to address this question, to see if there is a theory that can successfully explain those facts in more fundamental terms. If successful the theory will be made available in the usual physics locations for such work, and at this site in the hope that others will find it a worthwhile subject for further study.