The GtrModel a Universal Framework for QuantumLike Measurements
Abstract
We present a very general geometricodynamical description of physical or more abstract entities, called the general tensionreduction (GTR) model, where not only states, but also measurementinteractions can be represented, and the associated outcome probabilities calculated. Underlying the model is the hypothesis that indeterminism manifests as a consequence of unavoidable uctuations in the experimental context, in accordance with the hiddenmeasurements interpretation of quantum mechanics. When the structure of the state space is Hilbertian, and measurements are of the universal kind, i.e., are the result of an average over all possible ways of selecting an outcome, the GTRmodel provides the same predictions of the Born rule, and therefore provides a natural completed version of quantum mechanics. However, when the structure of the state space is nonHilbertian and/or not all possible ways of selecting an outcome are available to be actualized, the predictions of the model generally differ from the quantum ones, especially when sequential measurements are considered. Some paradigmatic examples will be discussed, taken from physics and human cognition. Particular attention will be given to some known psychological effects, like question order effects and response replicability, which we show are able to generate nonHilbertian statistics. We also suggest a realistic interpretation of the GTRmodel, when applied to human cognition and decision, which we think could become the generally adopted interpretative framework in quantum cognition research.
 Publication:

Probing the Meaning of Quantum Mechanics: Superpositions
 Pub Date:
 2016
 DOI:
 10.1142/9789813146280_0005
 arXiv:
 arXiv:1512.00880
 Bibcode:
 2016pmqm.book...91A
 Keywords:

 Quantum Physics;
 Computer Science  Artificial Intelligence
 EPrint:
 33 pages, 5 figures