Abstract:
Some chemical phenomena, awkward to rationalize, are argued to originate
in the four-dimensional nature of matter in curved space-time. The problem
is traced back to the separation of space and time variables in the analysis of fourdimensional
events. Althoughmathematically sound, this operation is not physically
valid. It destroys the essential non-classical entanglement of space and time, which
is recognized in relativistic theory, but not in quantum mechanics. We show that
without this approximation the state functions of quantum theory have the same
quaternion structure that describes Lorentz transformation and spin. Hypercomplex
formulation of four-dimensional motion eliminates several bothersome concepts,
such as wave-particle duality and probability density, by providing the logical basis
for non-zero commutators in non-classical systems. It shows why chiral states
are undefined in quantum theory and why many solid-state transitions appear to be
sterically forbidden. A brief introduction to hypercomplex algebra is given as an
Appendix.
