Fariel Shafee
Published 2005-12-18, updated 2009-11-05Version 2
We first review and critically examine some basic concepts and ambiguities related to quantum mechanics and quantum measurement to understand the success and shortcomings of current theories. We also touch on ideas regarding expression of variables within a complex system. Then we discuss a model for quantum measurement proposed by us, in which the quantum system is allowed to interact with its image created within the detector, followed by a first passage random walk in the Hilbert space. Definitions and ideas from the first part are used in the context of the model. In the end, we discuss the puzzling question of entanglement. We propose how borrowing concepts from our model for quantum measurement may enable us to formulate a hidden variable scenario that does not violate Bell's inequality.
Comments: A comprehensive review has been added and Bell's inequality has been explained in terms of image formation as explained in our previous model. This paper is based on some of my personal published papers and the draft I am replacing (all dated drafts can be found in arxiv), that were written as personal projects while I was at Princeton. I have now left Princeton
Uncertainty Relations for Entangled States
One-dimensional completed scattering and quantum nonlocality of entangled states
Negative Energy in Superposition and Entangled States
