Ebook: Quantum mechanics and gravity

This book describes a paradigm change in modern physics from the philosophy and mathematical expression of the quantum theory to those of general relativity. The approach applies to all domains - from elementary particles to cosmology. The change is from the positivistic views in which atomism, nondeterminism and measurement are fundamental, to a holistic view in realism, wherein matter - electrons, galaxies, - are correlated modes of a single continuum, the universe. A field that unifies electromagnetism, gravity and inertia is demonstrated explicitly, with new predictions, in terms of quaternion and spinor field equations in a curved spacetime. Quantum mechanics emerges as a linear, flatspace approximation for the equations of inertia in general relativity.

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The problem we are now faced with, in these early decades of the 21st century, is that in their precise mathematical forms and their conceptual bases, the theory of relativity and the quantum theory are both logically and mathematically incompatible.... My research program, as it has developed over the past 40 years in the literature, started with the attempt to answer the following question: is it possible that the formal structure of quantum mechanics is not more than a linear approximation for a theory of matter that is based on the foundations of Einstein’s theory of general relativity, as a general theory of matter? .... The basic attempt, then, in this book, is to initiate a study of a single, coherent theory of matter applicable to all domains – from elementary particle physics to cosmology. The approach taken is that of a fully exploited theory of general relativity, from its mathematical and conceptual bases.....