TITLE:
Elements of Real Hilbert Spaces Theory
AUTHORS:
Daniel Sepunaru
KEYWORDS:
Real Hilbert Spaces, Holographic Detection, Quantum Reference Frames
JOURNAL NAME:
Open Access Library Journal,
Vol.2 No.5,
May
28,
2015
ABSTRACT: We discuss an alternative version of non-relativistic Newtonian mechanics
in terms of real Hilbert space mathematical framework. It is demonstrated that
the physics of this scheme is in accordance with the standard formulation.
Heisenberg-Schrodinger non-relativistic quantum mechanics is considered adequate
and complete. Since the suggested theory is dispersion free, linear superposition
principle is not violated but cannot affect results of measurements due to
spectral decomposition theorem for self-adjoint operators (the collapse of wave
function).