This book highlights that Mass and Proper Time, which are well-defined classically, have all sorts of conceptual problems when considered quantum- mechanically. When systems interact, the masses change to include binding energies, etc., but are not treated as variables within the standard formalism. Similarly, proper time becomes an ambiguous concept when particles are entangled, or when they can take several different paths. But the formalism can easily be extended, so that they become conjugate dynamical variables, and there is an uncertainty principle between mass and proper time. There are many examples of this, but it is not easy to prove convincingly, since one can always experimentally change a mass-time relationship into a momentum-position one, which is well known. It is only in the case of unstable particles, where one sees a clear difference.
The new formalism treats a system where particles can decay, even classically, which they cannot do conventionally. In this capacity, the theory merges into other situations where particles decay. But it is clear within this theory, that the mechanism that controls how masses change is gravitational, and so one finally has the possibility of merging gravity with the other forces of nature in a natural way. This can be accomplished by a natural extension of the principle of equivalence.
The book describes how the theory naturally blends gravity into the other forces, providing a hope for an integrated theory of the forces of nature. The emphasis of the book is always physical, rather than mathematical, so that the theory does not seem to be an ad-hoc mathematical add-on to conventional theories.
Introduction.- Time and Mass as Dynamical Variables.- Newton's First
Law,the Equivalence Principle,and a Quantum vs a Classical Particle.- The
Equivalence Principle,and the Extended Equivalence Principle.- The Classical
limit of the Equivalence Principle.- Equations of Motion.- The Relativistic
Rocket as an Example.- The Galilean Transformation and the Extended Galilean
Transformation.- The Uncertainty Relation Between m-t.- Experiments that
Directly Measure the m-t Uncertainty Relation.- Conclusion.
Prof. Daniel Greenberger studied at MIT, writing his thesis with Laszlo Tisza, and did his PhD at the University of Illinois and MIT under Prof. Francis Low. He then spent 2 years in the army and a year at Ohio State University, and won an NSF postdoctoral fellowship which he spent at Berkeley in the group of Geoffrey Chew. He then went on to CCNY, where he has been since, with breaks for Oxford, MIT, Vienna, and Munich. He has been a Fulbright fellow in Vienna, and spent a year at Garching, with Herbert Walther, with a senior Humboldt award. He is also an editor of several journals, and a fellow of the American Physical Society, and was elected a foreign member of the Austrian Academy of Sciences. He has been collaborating for 40 years with Profs. Anton Zeilinger and Michael Horne
