Conceptual Foundations of Contemporary Relativity Theory

The central conceptual idea of the contemporary theory of general relativity—or geometrodynamics—is the identification of matter with the structure of space-time. No entities foreign to space-time, like masses, charges, or independent fields are needed, and physics thus becomes identical with the geometry of space-time. This idea implies a philosophical description of the universe that is monistic and organic, characterized by an all-encompassing interdependence of events. Moreover, it is an idea with deep roots in the history of philosophy. For these reasons, the author of this important study strives to clarify these philosophical and historical issues before proceeding to the details of the physical theory of geometrodynamics.

Graves develops a general philosophical framework of "scientific realism," asserting that scientific theories have ontological import in determining the real structure of the world, and in particular that models play a central role as ontological hypotheses. He introduces two factors, the empiricist error and the logical errors that he feels have contributed to past misinterpretations of the nature of reality that were based on general relativity theory.

The historic continuities that join the metaphysics of Plato and Descartes with the monistic, organic nature of geometrodynamics are contrasted with the latter's radical break with the Newtonian or atomistic worldview which is predicated on a basic separation between matter and space. The Newtonian independence and distinctness of objects is at the polar extreme from their Einsteinian interdependence and continuity.

In discussing the physical principles of relativity, the author begins with a review of Einstein's original formulation ("classical" general relativity) and the significance of its basic assumptions and equations. He then presents the remarkable recent developments in geometrodynamics, which allow the program of identifying matter with space-time to be carried further than even Einstein suspected possible. The surprising discovery that electromagnetism can be incorporated into geometrodynamics without modifying Einstein's original equations appears to be formally correct, but reliance on multiply-connected topologies ("wormholes") to represent charge raises various unresolved questions.

Graves concludes that the present language of physics, like that of everyday life, is based on concepts of independence and separation, and that a wholly new language may be needed to describe the world in terms of geometrodynamics, in which space-time appears as the only substance, with curvatures as its attributes, and in which objects have no absolute individuality, distinctness, or location.

"...Graves first defines a framework in the philosophy of science which includes his own position of 'scientific realism.' A brief section on the historical interpretations of space and matter is followed by a discussion of general relativity theory. Finally, the book is tied together in an illuminating presentation of the physical and philosophic aspects of geometrodynamics."
—Choice

"...many typical conceptual questions and difficulties that arise when one is first confronted with the ideas of general relativity are discussed in more detail than in many texts. This book gives a fair idea of the complexity of the subject, and does not use analogies or pictures for simplification.

"Graves is at his best where discussing the striking new ideas in general relativity and the objections and misconceptions they have generated.

"A valuable source of information. It goes further than anything written before in explaining general relativity to philosophers and philosophy of space-time to physicists."
—Science