Shifting realities: Tron cyberspace and the “New” consciousness in 21st Century technoscapes

The existing direction of the (mis)use of information technologies founded on the deceptively secular rationalised heritage of scientism, arguably spells the increasing proximity to a dystopian nightmare that is far from mere fiction and imbued with the eternal religious symbolic of the battle between good and evil, as depicted in the 2010 science fiction film Tron: Legacy . The historical contextualisation of events in the film reveals the promise of the unfolding of an advanced sensibility alongside these concerns, in which fantasy and science converge to liberate humanity from an increasingly limiting worldview, and information and images serve as conduits to the sacred. The critical role information stands to play in humanity’s conscious evolution is outlined in the proposed development of a “dream systems theory”, where dreams capes are defined as interconnected systems of imaginal data

A Class of Periodic Continued Radicals

We compute the limits of a class of periodic continued radicals and we establish a connection between them and the fixed points of the Chebycheff polynomials

String Theory has no Isotropic Solution for the Modified Einstein's Equations without the Dilaton

We investigate the modification to Einstein's vacuum field equations which is imposed by string theory when the dilaton field is ignored. Including the cosmological constant in all calculations, we prove that such a theory of gravity admits no static isotropic solution. We then show that any isotropic solution of the equations in question must necessarily be static, therefore proving that no isotropic solution exists for this stringy modification to gravity

Integrable Models of the CFT on Hyper-Elliptic Surfaces

In this letter, we continue the work we started at a previous paper and we propose new series of integrable models in quantum field theory. These models are obtained as perturbed models of the minimal conformal field theories on the hyper-elliptic surfaces by particular relevant operators of the untwisted sector. The quantum group symmetry of the models is also discussed.Comment: Postscript file available at http://www.tau.ac.il/~costas/papers/HES-2.ps; revised version to appear in Phys. Lett.