8 papers
On the Born rule in a new quantum approach
Inge S. Helland
In the context of a new approach towards quantum foundation, the Born rule is proved under weak conditions through several steps. Some of the steps turn out to have connections to…
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…
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…
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…
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…
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…
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…
On probabilities in quantum mechanics
Inge S. Helland
This is an attempt to clarify certain concepts related to a debate on the interpretation of quantum mechanics, a debate between Andrei Khrennikov on the one side and Blake Stacey a…