2007•AIP conference proceedingsRequires access

Relativity and Quantum Mechanics

Erkki Brändas, Theodore E. Simos, George B. Maroulis

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Abstract

The old dilemma of quantum mechanics versus the theory of relativity is reconsidered via a first principles relativistically invariant theory. By analytic extension of quantum mechanics into the complex plane one may (i) include dynamical features such as time‐ and length‐scales and (ii) examine the possibility and flexibility of so‐called general Jordan block formations. The present viewpoint asks for a new perspective on the age‐old problem of quantum mechanics versus the theory of relativity. To bring these ideas together, we will establish the relation with the Klein‐Gordon‐Dirac relativistic theory and confirm some dynamical features of both the special and the general relativity theory.

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The old dilemma of quantum mechanics versus the theory of relativity is reconsidered via a first principles relativistically invariant theory. By analytic extension of quantum mechanics into the complex plane one may (i) include dynamical features such as time‐ and length‐scales and (ii) examine the possibility and flexibility of so‐called general Jordan block formations. The present viewpoint asks for a new perspective on the age‐old problem of quantum mechanics versus the theory of relativity. To bring these ideas together, we will establish the relation with the Klein‐Gordon‐Dirac relativistic theory and confirm some dynamical features of both the special and the general relativity theory.

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Available abstract

The old dilemma of quantum mechanics versus the theory of relativity is reconsidered via a first principles relativistically invariant theory. By analytic extension of quantum mechanics into the complex plane one may (i) include dynamical features such as time‐ and length‐scales and (ii) examine the possibility and flexibility of so‐called general Jordan block formations. The present viewpoint asks for a new perspective on the age‐old problem of quantum mechanics versus the theory of relativity. To bring these ideas together, we will establish the relation with the Klein‐Gordon‐Dirac relativistic theory and confirm some dynamical features of both the special and the general relativity theory.

Key concepts: Theory of relativity, Problem of time, Relativistic mechanics, Relativistic quantum mechanics, Classical mechanics, Theoretical physics, Physics, Quantum mechanics

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