θ\theta-Term and Cosmological Constant from CJD Action

In the gravity without metric formalism of Capovilla, Jacobson and Dell, the topological $\theta$-term appears through a canonical transformation.The origin of this canonical transformation is probed here. It is shown here that when $\theta$-term appears cosmological $\lambda$-term also appears simultaneously.Comment: 5 page

Torsion, Chern-Simons Term and Diffeomorphism Invariance

In the $torsion \otimes curvature$ approach of gravity Chern-Simons modification has been considered here. It has been found that Chern-Simons contribution to the bianchi identity has become cancelled from that of the scalar field part. But "homogeneity and isotropy" consideration of present day cosmology is a consequence of the "strong equivalence principle" and vice-versa.Comment: 8 page

Relationship between Cognitive Failure and Internet Addiction of Higher Secondary Students of Purulia District of West Bengal: A Study

In the 21st-century internet, addiction has become a common phenomenon among students. Internet addiction is sometimes referred to as internet addiction disorder, pathological internet usage, internet reliance, problematic internet use, overuse and compulsive internet use. And cognitive failure is outlined as the probable consequence of a general failure of the cognitive and control system. The present study has aimed to determine the relationship between cognitive failure and internet addiction of higher secondary students of the Purulia district of West Bengal. For the present study, the researchers have used descriptive survey-type research. The data for the present study has been collected from seventy-eight (78) class XI students from randomly selected two schools in the Purulia district of West Bengal, India, using a simple random sampling technique. The researchers have used appropriate descriptive statistics like mean, standard deviation, correlation and inferential statistics like the Shapiro-Wilk test for normality test, ‘t-test and Mann-Whitney U test for data analysis. The result revealed a significant relationship between cognitive failure and internet addiction among higher secondary Purulia district of West Bengal students. However, no significant difference has been observed in cognitive failure and internet addiction regarding gender, location and stream

Torsion, Dirac Field, Dark Matter and Dark Radiation

The role of torsion and a scalar field $\phi$ in gravitation, especially, in the presence of a Dirac field in the background of a particular class of the Riemann-Cartan geometry is considered here. Recently, a Lagrangian density with Lagrange multipliers has been proposed by the author which has been obtained by picking some particular terms from the SO(4,1) Pontryagin density, where the scalar field $\phi$ causes the de Sitter connection to have the proper dimension of a gauge field. In this article the scalar field has been linked to the dimension of the Dirac field. Here we get the field equations for the Dirac field and the scalar field in such a way that both of them appear to be mutually non-interacting. In this scenario the scalar field appears to be a natural candidate for the dark matter and the dark radiation

Gravitational Constant and Torsion

Riemann-Cartan space time $U_{4}$ is considered here. It has been shown that when we link topological Nieh-Yan density with the gravitational constant then we get Einstein-Hilbert Lagrangian as a consequence.Comment: 8 page