63 research outputs found
A CH-type Inequality For Real Experiments
We derive an efficient CH-type inequality. Quantum mechanics violates our
proposed inequality independent of the detection-efficiency problem.Comment: 4 pages, no figure. To appear in Journal of Modern Optic
On The Significance of Bell's Locality Condition
Reviewing the general representation of a stochastic local hidden variables
theory in the context of an ideal Bohm's version of the EPR experiment, we show
explicitly that the violation of Bell's locality condition is due to the
assumption of ``outcome independence'' at the hidden variables level. Also, we
show that if we introduce determinism, the assumption of outcome independence
will be allowed.Comment: 10 pages, no figure, to appear in Annales de la Fondation Louis de
Brogli
Objective information in the empiricist view of von Weizs\"acker
We analyze von Weizs\"acker view regarding the concept of information in
physics. In his view, information arises from the reduction of properties of a
physical object to their logical descriptive propositions. The smallest element
of a lattice of propositions is an atom of information which is considered as
the essence of every physical identity including position space. von
Weizs\"acker calls this element, ur. Moreover, Biological evolution is
described in terms of enhancement of the variety of forms. Form could be also
reduced to descriptive logical propositions, thus to atoms of information.
Therefore, information is the fundamental basis in von Weizs\"acker plan for
unifying all branches of Physics including Chemistry and Biology. Yet, there
are inadequacies in his lines of reasoning, critically assessed in this paper
Particle-Field Theory and Its Relativistic Generalization II ( Relativistic Generalization of Micro Harmonic Oscillator and Hydrogen Atom )
As a serious attempt for constructing a new foundation for describing
micro-entities from a causal standpoint, it was explained before in [1, 2, 3]
that by unifying the concepts of information, matter and energy, each
micro-entity is assumed to be composed of a probability field joined to a
particle called a particle-field or PF system. The relativistic generalization
of this theory and its invariance under Lorentz transformation has been proved.
In this essay, based on the relativistic generalization of Schrodinger equation
derived in [4], we solve the relativistic Schrodinger equation for relativistic
micro-harmonic oscillator to find its energy. Also we obtain the energy
spectrum of Hydrogen atom that is the main purpose of this paper. We see that
the result is completely consistent with the relativistic correction to the
Hydrogen's energy in first-order perturbation theory
Leggett-Garg Inequality for a Two-Level System under Decoherence: A Broader Range of Violation
We consider a macroscopic quantum system in a tilted double-well potential.
By solving Hamiltonian equation, we obtain tunneling probabilities which
contain oscillation effects. To show how one can decide between quantum
mechanics and the implications of macrorealism assumption, a given form of
Leggett-Garg inequality is used. The violation of this inequality occurs for a
broader range of decoherence effects, compared to previous results obtained for
two-level systems
The Particle-Field Theory and Its Relativistic Generalization
As a serious attempt for constructing a new foundation for describing
micro-entities from a causal standpoint, it was explained before in [1, 2, 3]
that by unifying the concepts of information, matter and energy, each
micro-entity is assumed to be composed of a probability field joined to a
particle called a particle-field or PF system. In this essay, the relativistic
generalization of the PF theory has been considered. The equation of motion for
the PF system is derived in a form which is Lorentz-invariant. Moreover, based
on constitutional similarities to classical equations of motion, a well-defined
relativistic time-independent Schrodinger equation is derived, which is one of
our main achievements in developing a micro-relativistic physics of PF theory.
This relativistic Schrodinger equation is solved for a relativistic
micro-particle in one-dimensional box to find its eigenstate and energy
spectrum
On The Significance of Which-Way Expositions: Propounding a New Possibility
In this article, we survey some controversial problems concerning the idea of
erasing Which Way information proposed in recent years. A statistical
examination of these proposals suggests that whenever the Bayesian rule is
taken into account for two relevant events in two successive times, the
probabilistic description of them is unavoidably time-symmetric. Consequently,
it seems that they cannot fulfill the implications of a so-called
delayed-choice experiment. As a possible alternative, however, we suggest a new
experimental arrangement in which one can change the whole state of a given
system at a proper time (without measurement) to accomplish an actual
delayed-choice experiment with a time-asymmetric attribute. The peculiar
features of this experiment are then discussed.Comment: 21 pages, 4 figures, this is the second version which includes many
amendments in exploring the issu
A GHZ-type proof of Bell's Theorem for A Two-particle Singlet State
For the case of two spin-1/2 particles in the singlet state, we provide a
GHZ-type proof of Bell's theorem by using the idea of postselected
measurements. Furthermore, we show that in spite of the low efficiency of the
detectors one can derive an inequality in the case of real experiments which is
violated by quantum mechanics.Comment: This paper is withdraw
The Possibility of Factorizable Contextual Hidden Variable Theories
Considering an extended type of Bohm's version of EPR thought experiment, we
derive Bell's inequality for the case of factorizable contextual hidden
variable theories which are consistent with the predictions of quantum theory.
Usually factorizability is associated with non-contextuality. Here, we show
that factorizability is consistent with contextuality, even for the ordinary
Bohm's version of EPR thought experiment.Comment: 10 pages, no figur
Position-Momentum Uncertainty Relation for an Open Macroscopic Quantum System
In this study, we explore the validity of the original Heisenberg position-
momentum uncertainty relation for a macroscopic harmonic oscillator interacting
with environmental micro particles. Our results show that, in the
quasi-classical situation, the original uncertainty relation does not hold when
the number of particles in the environment is small. Nonetheless, increasing
the environmental degrees of freedom resolves the violation in the region of
our investigation
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