%0 Journal Article
%T Whether the CPT Symmetry Can Be Almighty Even in a Photon
%A Koji Nagata
%A Tadao Nakamura
%J Open Access Library Journal
%V 2
%N 8
%P 1-14
%@ 2333-9721
%D 2015
%I Open Access Library
%R 10.4236/oalib.1101806
%X As a trial, though thinking of general concepts, of our
scientific challenge, we consider whether the Charge-Parity-Time (CPT) symmetry
can be almighty even in a photon. This is the main aim of this paper. In what
follows, we discuss our argumentations dividing the conjecture into two parts.
Rotational invariance of physical laws is an accepted principle in Newton¡¯s theory. We show that it leads
to an additional constraint on local realistic theories with mixture of
ten-particle Greenberger- Horne-Zeilinger state.
This new constraint rules out such theories even in some situations in which
standard Bell inequalities allow for explicit construction of such theories.
This says new hypothesis to the number of ten. Next, it turns out
Zermelo-Fraenkel set theory has contradictions. Further, the von Neumann¡¯s theory has a contradiction by using ¡À1/. We solve the problem of von Neumann¡¯s theory while escaping from all contradictions made by
Zermelo-Fraenkel set theory, simultaneously. We assume that the results of measurements
are <img src="http://www.oalib.com:80/image/DEF_PAPERATTACHED_PATH/20150825145046_358.png" alt="" />. We assume that only&nbsp;<img src="http://www.oalib.com:80/image/DEF_PAPERATTACHED_PATH/20150825145110_879.png" alt="" />and&nbsp;<img src="http://www.oalib.com:80/image/DEF_PAPERATTACHED_PATH/20150825145118_222.png" alt="" />are possible. This situation meets a structure
made by Zermelo-Fra- enkel set theory with the axiom of choice. We result in the
fact that it may be kept to perform the Deutsch-Jozsa algorithm even in the
macroscopic scale because zero does not exist in this case. Our analysis agrees
with recent experimental report.
%K Quantum Measurement Theory
%K Formalism
%K Quantum Nonlocality
%K Quantum Computer
%U http://www.oalib.com/paper/3149249