21 citations · 110 across the 25 of their papers we have counts for
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A new foundation of quantum decision theory
Inge S. Helland
Quantum decision theory is introduced here, and new basis for this theory is proposed. It is first based upon the author's general arguments for the Hilbert space formalism in quan…
An alternative foundation of quantum theory
Inge S. Helland
The final version of a new approach to quantum theory is formulated in this paper. The basis is taken to be theoretical variables, variables that may be accessible or inaccessible,…
An explanation of the Bell experiment
Inge S. Helland
The Bell experiment is discussed in the light of a new approach to the foundation of quantum mechanics. It is concluded from the basic model that the mind of any observer must be l…
The Bell experiment; an epistemological approach
Inge S. Helland
The Nobel prize in physics for 2022 was given for performing Bell experiments with varying degree of sophistication. The interpretation of this experiment is discussed by first rec…
A simple quantum model linked to a theory of decisions
Inge S. Helland
This article may be seen as a summary and a final discussion of the work that the author has done in recent years on the foundation of quantum theory. It is shown that quantum mech…
The Bell experiment and the Limitations of Actors
Inge S. Helland
The well known Bell experiment with two actors Alice and Bob is considered. First the simple deduction leading to the CHSH inequality under local realism is reviewed, and some argu…
Epistemological and ontological aspects of quantum theory
Inge S. Helland
In this paper, epistemology and ontology of quantum states are discussed based on a completely new way of founding quantum theory. The fundamental notions are conceptual variables…
On reconstructing parts of quantum theory from two relates maximal conceptual variables
Inge S. Helland
In the book [4] the general problem of reconstructing the Hilbert space formulation in quantum theory is discussed from the point of view of what I called conceptual variables, any…
Conceptual variables, quantum theory, and statistical inference theory
Inge S. Helland
A different approach towards quantum theory is proposed in this paper. The basis is taken to be conceptual variables, physical variables that may be accessible or inaccessible, i.e…
When is a set of questions to nature together with sharp answers to those questions in one-to-one correspondence with a set of quantum states?
Inge S. Helland
A general question is posed to the quantum community. Partial results are formulated in a self-contained way. In particular, the title question is answered affirmatorily in two cas…
An epistemic interpretation and foundation of quantum theory
Inge S. Helland
The interpretation of quantum mechanics has been discussed since this theme first was brought up by Einstein and Bohr. This article describes a proposal for a new foundation of qua…
Symmetry in a space of conceptual variables
Inge S. Helland
A conceptual variable is any variable defined by a person or by a group of persons. Such variables may be inaccessible, meaning that they cannot be measured with arbitrary accuracy…
The quantum formulation derived from assumptions of epistemic processes
Inge S. Helland
Motivated by Quantum Bayesianism I give background for a general epistemic approach to quantum mechanics, where complementarity and symmetry are the only essential features. A gene…
A Unified Scientific Basis for Inference
Inge S. Helland
Every experiment or observational study is made in a context. This context is being explicitly considered in this book. To do so, a conceptual variable is defined as any variable w…
Quantum Mechanics from Focusing and Symmetry
Inge S. Helland
A foundation of quantum mechanics based on the concepts of focusing and symmetry is proposed. Focusing is connected to c-variables - inaccessible conceptually derived variables; se…
Towards quantum mechanics from a theory of experiments
Inge S. Helland
Essential elements of quantum theory are derived from an epistemic point of view, i.e., the viewpoint that thetheory has to do with what can be said about nature. This gives a rela…
Quantum phenomena may have macroscopic counterparts
Inge S. Helland
From various points of view it is argued that one may find phenomena similar to the quantum effects also in macroscopic cases. This forces one to give up as a general requirement t…
Symmetry, model reduction, and quantum mechanics
Inge S. Helland
Taking several statistical examples, in particular one involving a choice of experiment, as points of departure, and making symmetry assumptions, the link towards quantum theory de…
Extended statistical modeling under symmetry; the link toward quantum mechanics
Inge S. Helland
We derive essential elements of quantum mechanics from a parametric structure extending that of traditional mathematical statistics. The basic setting is a set of inc…
Quantum theory as a statistical theory under symmetry
Inge S. Helland
Both statistics and quantum theory deal with prediction using probability. We will show that there can be established a connection between these two areas. This will at the same ti…
Quantum theory as a statistical theory under symmetry and complementarity
Inge S. Helland
The aim of the paper is to derive essential elements of quantum mechanics from a parametric structure extending that of traditional mathematical statistics. The main extensions, wh…
Quantum Theory from Symmetries in a General Statistical Parameter Space
Inge S. Helland
The aim of this paper is to show a connection between an extended theory of statistical experiments on the one hand and the foundation of quantum theory on the other hand. The main…
Quantum Mechanics from Symmetry and Statistical Modelling
Inge S. Helland
A version of quantum theory is derived from a set of plausible assumptions related to the following general setting: For a given system there is a set of experiments that can be pe…