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Completion & Unification of Quantum Mechanics with Einstein's GR Ideas - Part I -- Completion of QM (Hardcover)
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Completion & Unification of Quantum Mechanics with Einstein's GR Ideas - Part I -- Completion of QM (Hardcover)
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This unique manuscript presents a novel approach to QM by modelling
an elementary particle via 3D matter/energy density, which
propagates in the open time-space continuum as a rest mass energy
density wave packet. This simple idea is based on the fact that any
macroscopic object of mass M that occupies a finite 3D volume V can
be represented by an energy-density contained in V, so that the
integration of this energy-density over V provides the total energy
E = Mc^2 . This new theory is fully integrated with the theory of
relativity, and completes the quantum theory of Einstein by
overcoming the Copenhagen interpretation. The newly introduced
partial differential equations describe the relativistic phenomena
and, generally, the dependence of a particle's geometrical form
(its internal matter distribution) on its velocity and
acceleration. A number of well-known physical principles are
obtained as derived results of this theory, and are consolidated by
a number of detailed examples. Part I, which is dedicated to the
completion of QM, is composed of five Chapters. In the first two
chapters, the nucleus is analysed in terms of the material
discussed. Chapter Three is dedicated to the development of the
Lagrangian density for the complex wave packets of the rest mass
energy density of an elementary particle, and to the new quantum
field theory. The authors obtained the set of new non-Hamiltonian
TSPF quantum operators, parameterised by the vector velocity field
of energy density with corresponding Hilbert spaces for accelerated
particles, and these were valid in any (infinitesimal) local
Minkowski time-space. The main results are the new differential
equations obtained as conservation laws for Noether currents and
Euler-Lagrange equations, which express the exact form of the
complex terms used in the differential equations in Chapters One
and Two, and introduce the most useful concept of the velocity for
any infinitesimal amount of the energy density flux of a particle
(the hidden variables). In Chapter Four, a gauge theory and a new
explanation of the mass gap conjecture in Yang-Mils theory and of
the Higgs mechanism without necessity of the new Higgs field and
its bosons, along with a new explanation of double-slit experiments
are presented. Thus, the authors obtained a conservative extension
of current probabilistic/statistic QM valid for an ensemble of
particles, each individual particle, and which is deterministic and
compatible by classical mechanics.
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