A Finite Unified Quantum Field Theory Of The Elementary Particle Standard Model And Quantum Gravity Based On New Quantum Dimensions & A New Paradigm In The Calculus Of Variations - Softcover

Stephen Blaha

Softcover

ISBN 10: 0972079599 ISBN 13: 9780972079594

Publisher: Pingree Hill Pub, 2003

Synopsis

This book has a NEW EXPANDED EDITION with ISBN number: 0-9746958-3-1 entitled, "Quantum Theory of the Third Kind: A New Type of Divergence-free Quantum Field Theory Supporting a Unified Standard Model of Elementary Particles and Quantum Gravity based on a New Method in the Calculus of Variations" with important new material on the unitarity of the theory and the relativistic invariance of the theory (and some typo corrections).

Description of OLD Edition: "A Finite Unified Quantum Field Theory of the Elementary Particle Standard Model and Quantum Gravity Based on New Quantum Dimensions and a New Paradigm in the Calculus of Variations", develops a new formulation of quantum field theory. Within this framework, a finite unified quantum field theory of the known forces of nature - electromagnetism, the weak interactions, the strong interactions and gravity - is created. The conventional Standard Model is the large distance limit of the elementary particle sector of the unified theory. The Quantum Gravity sector is finite in this formulation. Its large distance limit is Einsteinian gravity. This unified theory contains no divergences - thus solving a major problem that has bedeviled quantum field theory for the past seventy years. The theory is based on a new form of hidden dimensions: Quantum Dimensions, that only manifest themselves at ultra-high energies. Some new phenomena that result are: Unification of QED, Weak Interactions, Strong Interactions and Quantum Gravity; Finite - No divergences; Finite also with massive vector bosons: No need for Higgs mechanism; Low Energy Limit: Approximates Standard Model (and QED) to arbitrary accuracy; Suggests possible doubly charged dilepton resonances; Large Distance limit of Quantum Gravity: Newtonian gravitational potential;No ultra-microscopic Black Holes; A New form of hidden dimensions: Quantum Dimensions; A New form of interaction: Dimensional Interactions; and A New paradigm (type of problem) for the Calculus of Variations.

About this title

About the Author

Blaha is an Internationally known Physicist and Historian and the author of numerous books.

Excerpt. © Reprinted by permission. All rights reserved.

The Standard Model is a unified model of the electromagnetic, weak and strong interactions. It is formed from Electroweak Theory and an SU(3) color gauge theory of the strong interaction called Quantum Chromodynamics (QCD). Each part is separately renormalizable, as is the combined theory. This ad hoc theory of all known interactions except gravitation has been remarkably successful in accounting for the experimental data at energies currently accessible at accelerators. There are a number of phenomena that are not understood within the framework of the Standard Model such as dark matter and dark energy, some CP violation phenomena, and the spin dependence observed in certain experiments. There is also an appreciation of the ad hoc nature of the unification of the strong and electroweak sectors. They are "just glued together". An overall symmetry encompassing both sectors (broken as it would be) would be more reassuring and more elegant. However the theory works, and appears to work well, for most particle physics phenomena.

Superstring theory has become a seriously considered alternative to the Standard Model. It appears to offer a finite theoretical framework without divergences. It offers the hope of a rational grand unification. It is mathematically interesting and elegant. However, it has almost no experimental support. It predicts many particles that remain to be found. It requires additional dimensions that are not evidenced. It does not have a demonstrable, satisfactory "low energy limit" that resembles the Standard Model. It has the problem of too many possibilities: after thirty years of effort one cannot point to a Superstring theory and say it is THE Superstring theory. Considering that far more theoretical effort has been expended on Superstring theory by more theorists then on any other theory of physics, its physical justification, its nature, and its contact with experiment is still not well understood.

In the hope of developing a sound theory that clearly makes contact with known experimental data, that has a direct connection to the Standard Model, that is finite (no divergences), and that can be directly extended to encompass gravitation, we have developed a two-tier formulation of the Standard Model and its variants. It is admittedly far more modest in its scope than Superstring theory. Yet it allows us to have a finite theory a major goal of Superstring theory and to address cosmological issues by its easy unification with two-tier quantum gravity (next chapter) also a finite theory without divergences.

Thus we have a theory that accounts for all known interactions and yet incrementally extends known successful theories in a significant way. With (perhaps) the exception of General Relativity, the growth of particle physics theory in this century has been largely incremental.

The nature of the mechanism that two-tier quantum field theory uses to avoid divergences has the important feature that it does not depend on "magic cancellations", does not depend on details of the symmetries, and does not depend on details of the form of the theories. Thus all the variations and extensions of the Standard Model have an equivalent two-tier version that is finite. This feature gives the theorist the flexibility to modify and extend the two-tier Standard Model without worrying about the introduction of new divergences.

The other major advantage is that the theory is very much like the world we see at current energies four dimensions and no large number of new particles. It leaves open the door for new interactions and new particles IF they are found at higher energies. Thus it is not a showstopper. Nor is it a prediction of a vast desert extending to the highest energies. It gives a finite, unified theory with an "Open Door" policy for the future.

Edition details

• Publisher: Pingree Hill Pub
• Publication date: 2003
• ISBN 10: 0972079599
• ISBN 13: 9780972079594
• Binding: Paperback
• Language: English
• Edition number: 1
• Number of pages: 128