Correlation functions, Bell's inequalities and the fundamental conservation laws

I derive the correlation function for a general theory of two-valued spin variables that satisfy the fundamental conservation law of angular momentum. The unique theory-independent correlation function is identical to the quantum mechanical correlation function. I prove that any theory of correlations of such discrete variables satisfying the fundamental conservation law of angular momentum violates the Bell's inequalities. Taken together with the Bell's theorem, this result has far reaching implications. No theory satisfying Einstein locality, reality in the EPR-Bell sense, and the validity of the conservation law can be constructed. Therefore, all local hidden variable theories are incompatible with fundamental symmetries and conservation laws. Bell's inequalities can be obeyed only by violating a conservation law. The implications for experiments on Bell's inequalities are obvious. The result provides new insight regarding entanglement, and its measures.Comment: LaTeX, 12pt, 11 pages, 2 figure

Initial wave packets and the various power-law decreases of scattered wave packets at long times

The long time behavior of scattered wave packets $\psi (x,t)$ from a finite-range potential is investigated, by assuming $\psi (x,t)$ to be initially located outside the potential. It is then shown that $\psi (x,t)$ can asymptotically decrease in the various power laws at long time, according to its initial characteristics at small momentum. As an application, we consider the square-barrier potential system and demonstrate that $\psi (x,t)$ exhibits the asymptotic behavior $t^{-3/2}$, while another behavior like $t^{-5/2}$ can also appear for another $\psi (x,t)$.Comment: 5 pages, 1 figur

Anonymity for practical quantum networks

Quantum communication networks have the potential to revolutionise information and communication technologies. Here we are interested in a fundamental property and formidable challenge for any communication network, that of guaranteeing the anonymity of a sender and a receiver when a message is transmitted through the network, even in the presence of malicious parties. We provide the first practical protocol for anonymous communication in realistic quantum networks.Comment: 5 pages, published versio

Cosmic acceleration in a model of scalar-tensor gravitation

In this paper we consider a model of scalar-tensor theory of gravitation in which the scalar field, $\phi$ determines the gravitational coupling G and has a Lagrangian of the form, $\mathcal{L}_{\phi} =-V(\phi)\sqrt{1 - \partial_{\mu}\phi\partial^{\mu}\phi}$. We study the cosmological consequence of this theory in the matter dominated era and show that this leads to a transition from an initial decelerated expansion to an accelerated expansion phase at the present epoch. Using observational constraints, we see that the effective equation of state today for the scalar field turns out to be $p_{\phi}=w_{\phi}{\rho}_{\phi}$, with $w_{\phi}=-0.88$ and that the transition to an accelerated phase happened at a redshift of about 0.3.Comment: 12 pages, 2 figures, matches published versio

Finding Common Interests: Using Social Media to boost Retention in Voluntary Professional Associations

Attrition is one of the most important challenges faced by Professional Associations like the Project Management Institute (PMI). According to publicly available data, 90,000 members joined PMI in 2005. In the month of April 2006 alone, 33,751 new members were added, which leads to the logical conclusion that the PMI membership must have grown by over 115,750 during the period 2005-2006. However, records show that the growth has been by only 70,000. PMI’s reported growth of 5% would have been much higher had it not been for their attrition of 23%. Similarly, ISACA’s growth during 2014 dropped to 4% due to their attrition of 19%. In this paper, we combine the social identity theory and communication ecology theory to propose a Social Identity Theory (SITPA) for professionals. We argue that by leveraging the social media, Voluntary Professional Associations (VPAs) can provide “value” to their members, increasing their retention rates

Role of magnetic resonance spectroscopy in grading of gliomas- a tertiary care centre study

Background: Grading of gliomas is important for the determination of appropriate treatment strategies. MR spectroscopy has found increasing utility in grading of gliomas.Methods: MR spectroscopic imaging was done for the referred patients to obtain Cho/NAA and Cho/Cr ratios. After analyzing histopathology reports, gliomas were classified into low grade and high grade. Histologically proven 54 low grade and 54 high grade gliomas were included in the study. The mean and standard deviation of these variables were obtained and compared between two groups.  ROC curve analyses were performed in order to identify the optimal cut-off value for metabolite ratios for prediction purposes of high grade versus low grade gliomas.Results: The mean and SD of Cho/NAA ratio in low grade glioma was 1.93±1.19. The mean and SD of Cho /NAA ratio in high grade glioma was 3.16±1.73 was significantly higher. The optimal cut-off for differentiating low grade and high grade gliomas was 2.15 with a sensitivity of 74.07% and specificity of 66.67%. The mean and SD of CHO/Cr in low grade glioma was 2.05±0.76. The mean and SD of Cho/NAA in high grade glioma was 2.87±1.65 was significantly higher. The optimal cut-off for differentiating low grade and high grade gliomas was 1.98 with a sensitivity of 64.8% and specificity of 64.1%.Conclusions: MR spectroscopy imaging plays a pivotal role in prediction of glioma grade preoperatively and helps in deciding appropriate treatment strategies

Proposal for an experiment to search for Randall-Sundrum type corrections to Newton's law of gravitation

String theory, as well as the string inspired brane-world models such as the Randall-Sundrum (RS) one, suggest a modification of Newton's law of gravitation at small distance scales. Search for modifications of standard gravity is an active field of research in this context. It is well known that short range corrections to gravity would violate the Newton-Birkhoff theorem. Based on calculations of RS type non-Newtonian forces for finite size spherical bodies, we propose a torsion balance based experiment to search for the effects of violation of this celebrated theorem valid in Newtonian gravity as well as the general theory of relativity. We explain the main principle behind the experiment and provide detailed calculations suggesting optimum values of the parameters of the experiment. The projected sensitivity is sufficient to probe the Randall-Sundrum parameter up to 10 microns.Comment: 4 pages and 5 figures, figures improved, minor clarifications and few references added, final version to appear in PRD (rapid communications

Sonoluminescence as Quantum Vaccum Radiation

We argue that the available experimental data is not compatible with models of sonoluminescence which invoke dynamical properties of the interface without regard to the compositional properties of the trapped gas inside the bubble.Comment: 2 pages,Revtex,No figures,Submitted to PRL(comments