activity
20242026
collaborators

6 papers

quant-ph2026

Three ways to find comfort with the Bell proof and the results of the Bell experiments

Richard D Gill, Inge S. Helland, Bart Jongejan

Bell's theorem states that no description of a Bell experiment can be simultaneously local, realistic in the sense of counterfactual definiteness, and free of conspiracy between se…

quant-ph2026

The final version of a recent approach towards quantum foundation

Inge S. Helland

In several articles, this author has advocated an alternative approach towards quantum foundation based upon a set of postulates, and based upon the notions of theoretical variable…

quant-ph2025

Some mathematical issues regarding a new approach towards quantum foundations

Inge S. Helland

In this article, the weakest possible theorem providing a foundation for the Hilbert space formalism of quantum theory is stated. The necessary postulates are formulated, and the m…

quant-ph2025

Quantum probability for statisticians; some new ideas

Inge S. Helland

It is argued from several points of view that quantum probabilities might play a role in statistical settings. New approaches toward quantum foundations have postulates that appear…

quant-ph2025

A new approach towards quantum foundation and some consequences

Inge S. Helland

A general theory based upon 7 postulates is introduced. The basical notions are theoretical variables that are associated with an observer or with a group of communicating observer…

math.ST2024

On optimal linear prediction

Inge S. Helland

The main purpose of this article is to prove that, under certain assumptions in a linear prediction setting, optimal methods based upon model reduction and even an optimal predicto…