2012 Daily

How Self-Relational Consciousness Produces and Interacts with Reality (by Huping Hu, Maoxin Wu): Abstract: In essence, Steven E. Kaufman’s work shows how self-relational Consciousness produces and interacts with reality. But to appreciate the important work done by Kaufman, one needs to read the whole 325 pages of this Focus Issue of JCER covering his work.

Introduction to The Relational-Matrix Model of Reality (by Steven E. Kaufman): Abstract: In this series of articles, we will show that reality as a whole can be consistently accounted for only if we understand that the nature of the singular existence from which reality extends through the process of repetitive and progressive self-relation isn’t other than consciousness itself.

No-Cloning in Reduced Power Algebras (by Elemer E. Rosinger): Abstract: The No-Cloning property in Quantum Computation is known not to depend on the unitarity of the operators involved, but only on their linearity. Based on that fact, here it is shown that the No-Cloning property remains valid when Quantum Mechanics is re-formulated within far wider frameworks of scalars, namely, one or the other of the infinitely many reduced power algebras which can replace the usual real numbers R, or complex numbers C.

Group Invariant Entanglements in Generalized Tensor Products (by Elemer E. Rosinger): Abstract: The group invariance of entanglement is obtained within a very general and simple setup of the latter, given by a recently introduced considerably extended concept of tensor products. This general approach to entanglement - unlike the usual one given in the particular setup of tensor products of vector spaces - turns out not to need any specific algebraic structure.

Mathematics and "The Trouble with Physics", How Deep We Have to Go? (by Elemer E. Rosinger): Abstract: The parts contributed by the author in recent discussions with several physicists and mathematicians are reviewed, as they have been occasioned by the 2006 book "The Trouble with Physics", of Lee Smolin.