A Local Deterministic Model of Quantum Spin Measurement

The conventional view, that Einstein was wrong to believe that quantum physics is local and deterministic, is challenged. A parametrised model, Q, for the state vector evolution of spin 1/2 particles during measurement is developed. Q draws on recent work on so-called riddled basins in dynamical systems theory, and is local, deterministic, nonlinear and time asymmetric. Moreover the evolution of the state vector to one of two chaotic attractors (taken to represent observed spin states) is effectively uncomputable. Motivation for this model arises from Penrose's speculations about the nature and role of quantum gravity. Although the evolution of Q's state vector is uncomputable, the probability that the system will evolve to one of the two attractors is computable. These probabilities correspond quantitatively to the statistics of spin 1/2 particles. In an ensemble sense the evolution of the state vector towards an attractor can be described by a diffusive random walk. Bell's theorem and a version of the Bell-Kochen_specker quantum entanglement paradox are discussed. It is shown that proving an inconsistency with locality demands the existence of definite truth values to certain counterfactual propositions. In Q these deterministic propositions are physically uncomputable and no non-algorithmic solution is either known or suspected. Adapting the mathematical formalist approach, the non-existence of definite truth values to such counterfactual propositions is posited. No inconsistency with experiment is found. Hence Q is not necessarily constrained by Bell's inequality.Comment: This paper has been accepted for publication in the Proceedings of the Royal Society of London (Proc.Roy.Soc.A) I will mail the paper's figures on request (write to [email protected]

An Exploration into Technological Capabilities among early stage Indian product based Telecom start-ups

New technology based start-ups play a very important role in developing the economy of a country. In India, telecom sector has seen unprecedented growth over the last decade and this has led to emergence of several telecom related start-ups. However, product based B2B start-ups are rare and existing ones have to undergo several challenges in commercializing. Surprisingly not much research work has been undertaken in identifying capabilities among early stage start-ups although the early phase represents a very crucial phase for product based firms and has been known to determine the success or failure for start-ups. Present study explores the technological capabilities that enable commercialization among such early stage start-ups by adopting a multiple case (four independent cases) based inductive methodology with Indian telecom start-ups as the context. We have identified architectural design, algorithmic implementation and product adaptation as components of technological capability of such start-ups. We further drill in to each of the sub-components of the technological capabilities to unearth their antecedents and peculiarities in telecom product company context. As a result we also present a classification scheme for studying the product architecture in the telecom context. We analyze and point out differences in technological capability among telecom start-ups vis-�-vis established firms in the sector .