Completion & Unification of Quantum Mechanics with Einstein's GR Ideas : Part II -- Unification with GR

The proposed completion of QM theory, with the new non-probabilistic equations and a new mathematical basis for the deterministic quantum mechanics is presented here as a conservative extension of the Standard QM by 3-dimensional (of rest mass energy density) elementary particles.

This theory can reshape our view of the quantum world, allowing us to include also classical gravity and to answer some of the deep unresolved questions at the heart of quantum mechanics.

This new theory of particles is a constructive approach, alternative to the string theory.

Thus, it avoids the infinitary problems of the inverse square for gravitational and electric forces, and may be used as a formal basis for Einsteins unification theory.

This second volume is the continuation of Part I and is dedicated to its unification with General Relativity (GR) and with higher dimensions used for the particles properties, such as electrical charge, spin, colours, etc.

In Chapter One, after a brief presentation of the main results obtained in Part I, the concepts of GR theory, tensors, and differential pseudo-Rimannian 4-dimensional time-space manifolds are gradually introduced sufficiently for a self-contained presentation and derivation of these new covariant equations.

Then, the unification of this newly completed deterministic QM with the GR theory is provided .

Chapter Two introduces and examines the extremely small, compacted higher dimensions in order to integrate the charge and spin properties of the elementary particles in a complete quantum physics theory for elementary particles.

Chapter Three considers the higher dimensional wave packets of the particles and their reduction to the 4-dimensional time-space, and particles vector kets in the higher-dimensional manifold framework.

These are composed of Minkowski time-space and new small, compacted dimensions: a spacelike extra dimension for the quantised spin vectors of the particles and time-like extra dimensions for the quantised charges.

After that important properties of this QM theory are considered, the new quantum superposition for the states of a number of individual particles and ERP paradox (entanglement) are discussed.