Informational derivation of quantum theory

Derivation of Poincare Invariance from general quantum field theory

Starting from a very general quantum field theory we seek to derive Poincaré invariance in the limit of low energy excitations. We do not, of course, assume these symmetries at the outset, but rather only a very general second quantised model. Many of the degrees of freedom on which the fields depend turn out to correspond to a higher dimension. We are not yet perfectly successful. In particula...

A Statistical Derivation of Non-Relativistic Quantum Theory

Quantum Mechanics as a Classical Theory XV : Thermodynamical Derivation

We present in this continuation paper a new axiomatic derivation of the Schrödinger equation from three basic postulates. This new derivation sheds some light on the thermodynamic character of the quantum formalism. We also show the formal connection between this derivation and the one previously done by other means. Some considerations about metaestability are also drawn. We return to an examp...

Geometric derivation of quantum uncertainty

The solution to (3) through initial point φ0 is given by φτ = eφ0. Here e−iÂτ denotes the one-parameter group of unitary transformations generated by −iÂ, as described by Stone’s theorem. It follows that the integral curve through φ0 ∈ S2 will stay on the sphere. One concludes that, modulo the domain issues, the restriction of the vector field Aφ to the sphere S2 is a vector field on the sphere...

Quantum Informational Divergence in Quantum Channel Security Analysis

1 Quantum Informational Divergence in Quantum Channel Security Analysis Laszlo Gyongyosi and Sandor Imre (Corresponding author: L. Gyongyosi) Department of Telecommunications, Budapest University of Technology Magyar tudosok krt. 2., Budapest, H-1117, Hungary (Email: [email protected]) (Received May 20, 2009; revised and accepted Mar. 24, 2010) Abstract Computational Geometry is the art of d...