Mathematical and Physical Examination of the Locality Condition in Bell's Theorem

Using the Clauser-Horne model of Bell's theorem, the locality condition is examined and it is shown the corresponding formulation is equivalent to a factorization process consisting of three stages. The first stage is introduced based on the conditional probability definition in classical theory of probability and the other two stages are based on previously-known relations named as outcome and parameter independence conditions.Comment: 5 pages pdf; Physics Essays, Volume 19, No. 4 (2006

The Quantization of Free EM Fields: An Alternative Approach to solve the Vacuum Catastrophe

It is shown that the canonical quantum field theory of radiation based on the field theoretical generalization of a recently proposed [1] commutation relation between position and momentum operators of massless particles leads to zero vacuum energy. This may be considered as a step toward the solution of the cosmological constant problem at least for the electromagnetic (EM) field's contribution.Comment: 10 pages LaTeX,no figur

Spherical "Top-Hat" Collapse in a Modified Chaplygin Gas Dominated Universe

Considering perturbation growth in spherical Top-Hat model of structure formation in a generalized Chaplygin gas dominated universe, we want to study this scenario with a modified Chaplygin gas model. The evolution of background and collapsed region parameters are found for different cases. The stability of the model and the collapse time rate are considered in different cases. The turn-around redshifts are also computed; the results are in relatively good agreement with current observational data.Comment: 16 pages, 16 figure

Locality Is An Unnecessary Assumption of Bell's Theorem

Without imposing the locality condition,it is shown that quantum mechanics cannot reproduce all the predictions of a special stochastic realistic model used in certain spin-correlation experiments.This shows that the so-called locality condition is an unnecessary assumption of Bell's theorem.Comment: 5 pages LaTe

On the Tidal Evolution and Tails Formation of Disc Galaxies

In this paper, we want to study the tidal effect of an external perturber upon a disc galaxy based on the generalization of already used Keplerian potential. The generalization of the simple ideal Keplerian potential includes an orbital centripetal term and an overall finite range controlling correction. Considering the generalized form of the interaction potential, the velocity impulse expressions resulting from tidal forces are computed; then, using typical real values already known from modern observational data, the evolution of the disc including tidal tails formation is graphically investigated.Comment: 10 pages, 3 figure

Is Bayes theorem applicable to all quantum states?

Reconsidering the already known important question that whether all the axioms and theorems in classical theory of probability are applicable to probability functions in quantum theory, we want to show that the so-called Bayes theorem isn't applicable to nonfactorizable quantum entangled states.Comment: 6 pages, Accepted for publication in Iranian Journal of Science and Technology

The Casimir Atomic Pendulum

We want to introduce an atomic pendulum whose driving force (torque) is due to the quantum vacuum fluctuations. Applying the well-known Casimir-Polder effect to a special configuration (a combined structure of an atomic nanostring and a conducting plate), an atomic pendulum (Casimir atomic pendulum) is designed. Using practically acceptable data corresponding to the already known world of nanotechnology and based on reasonable/reliable numerical estimates, the period of oscillation for the pendulum is computed. This pendulum can be considered as both a new Micro (Nano)-Eelectromechanical system and a new simple vacuum machine. Its design may be considered as a first step towards realizing the visualized vacuum (Casimir) clock!Comment: 8 pages, 2 figure

Spin Quantum Number or Rest Angular Momentum

Considering the fundamental origins of Klein-Gordon and Dirac equations, Thomas precession, and the photon spin, it is clear that the origin of spin angular momentum refers to relativity than quantum theory; so, when introducing spin, it is better to know it as rest angular momentum than as an intrinsic quantum quantity.Comment: Source file is Word (4 pages

Cosmic walls and filaments formation in modified Chaplygin gas cosmology

We want to study the perturbation growth of an initial seed of an ellipsoidal shape in Top-Hat collapse model of structure formation in the Modified Chaplygin gas cosmology. Considering reasonable values of the constants and the parameters of the model under study, it is shown that a very small deviation from spherical symmetry (ellipsoidal geometry) in the initial seed leads to a final highly non-spherical structure which can be considered as a candidate for justifying already known cosmological structures as cosmic walls and filaments.Comment: 9 pages, 3 figure

The Casimir Forces in a Single Conducting Cylindrical Cavity

We want to study the Casimir effect for a single conducting microscopic cylindrical cavity. The mathematical technique is based on the Green function of the geometry of the inside of the cavity, and the integral regularization is based on the plasma frequency cutoff for real conductors. Using the symmetric electromagnetic energy-momentum tensor, in terms of four potential, the total Casimir energy for the inside of the Cavity is calculated. Neglecting the contribution of the external (outside of the cavity) Casimir energy based on the reason recently presented in [1], the forces experienced by the lateral surface of the cavity and its circular bases are calculated. The resulting expressions show that these forces are repulsive. The numerical computation is done for the real problem of a cavity with a basis of a radius in the same order of its height at the scale of 100 nanometers made of the best conducting materials already known.Comment: 13 pages, 1 appendix, 4 table