275 research outputs found

### Quantum Theory and Conceptuality: Matter, Stories, Semantics and Space-Time

We elaborate the new interpretation of quantum theory that we recently
proposed, according to which quantum particles are considered conceptual
entities mediating between pieces of ordinary matter which are considered to
act as memory structures for them. Our aim is to identify what is the
equivalent for the human cognitive realm of what physical space-time is for the
realm of quantum particles and ordinary matter. For this purpose, we identify
the notion of 'story' as the equivalent within the human cognitive realm of
what ordinary matter is in the physical quantum realm, and analyze the role
played by the logical connectives of disjunction and conjunction with respect
to the notion of locality. Similarly to what we have done in earlier
investigations on this new quantum interpretation, we use the specific
cognitive environment of the World-Wide Web to elucidate the comparisons we
make between the human cognitive realm and the physical quantum realm.Comment: 14 page

### Quantum Theory and Human Perception of the Macro-World

We investigate the question of 'why customary macroscopic entities appear to
us humans as they do, i.e. as bounded entities occupying space and persisting
through time', starting from our knowledge of quantum theory, how it affects
the behavior of such customary macroscopic entities, and how it influences our
perception of them. For this purpose, we approach the question from three
perspectives. Firstly, we look at the situation from the standard quantum
angle, more specifically the de Broglie wavelength analysis of the behavior of
macroscopic entities, indicate how a problem with spin and identity arises, and
illustrate how both play a fundamental role in well-established experimental
quantum-macroscopical phenomena, such as Bose-Einstein condensates. Secondly,
we analyze how the question is influenced by our result in axiomatic quantum
theory, which proves that standard quantum theory is structurally incapable of
describing separated entities. Thirdly, we put forward our new 'conceptual
quantum interpretation', including a highly detailed reformulation of the
question to confront the new insights and views that arise with the foregoing
analysis. At the end of the final section, a nuanced answer is given that can
be summarized as follows. The specific and very classical perception of human
seeing -- light as a geometric theory -- and human touching -- only ruled by
Pauli's exclusion principle -- plays a role in our perception of macroscopic
entities as ontologically stable entities in space. To ascertain quantum
behavior in such macroscopic entities, we will need measuring apparatuses
capable of its detection. Future experimental research will have to show if
sharp quantum effects -- as they occur in smaller entities -- appear to be
ontological aspects of customary macroscopic entities.Comment: 28 page

### Reality and Probability: Introducing a New Type of Probability Calculus

We consider a conception of reality that is the following: An object is
'real' if we know that if we would try to test whether this object is present,
this test would give us the answer 'yes' with certainty. If we consider a
conception of reality where probability plays a fundamental role it can be
shown that standard probability theory is not well suited to substitute
'certainty' by means of 'probability equal to 1'. The analysis of this problem
leads us to propose a new type of probability theory that is a generalization
of standard probability theory. This new type of probability is a function to
the set of all subsets of the interval [0, 1] instead of to the interval [0, 1]
itself, and hence its evaluation happens by means of a subset instead of a
number. This subset corresponds to the different limits of sequences of
relative frequency that can arise when an intrinsic lack of knowledge about the
context and how it influences the state of the physical entity under study in
the process of experimentation is taken into account. The new probability
theory makes it possible to define probability on the whole set of experiments
within the Geneva-Brussels approach to quantum mechanics, which was not
possible with standard probability theory. We introduce the structure of a
'state experiment probability system' and derive the state property system as a
special case of this structure. The category SEP of state experiment
probability systems and their morphisms is linked with the category SP of state
property systems and their morphismsComment: 27 page

### Being and Change: Foundations of a Realistic Operational Formalism

The aim of this article is to represent the general description of an entity
by means of its states, contexts and properties. The entity that we want to
describe does not necessarily have to be a physical entity, but can also be an
entity of a more abstract nature, for example a concept, or a cultural
artifact, or the mind of a person, etc..., which means that we aim at very
general description. The effect that a context has on the state of the entity
plays a fundamental role, which means that our approach is intrinsically
contextual. The approach is inspired by the mathematical formalisms that have
been developed in axiomatic quantum mechanics, where a specific type of quantum
contextuality is modelled. However, because in general states also influence
context -- which is not the case in quantum mechanics -- we need a more general
setting than the one used there. Our focus on context as a fundamental concept
makes it possible to unify `dynamical change' and `change under influence of
measurement', which makes our approach also more general and more powerful than
the traditional quantum axiomatic approaches. For this reason an experiment (or
measurement) is introduced as a specific kind of context. Mathematically we
introduce a state context property system as the structure to describe an
entity by means of its states, contexts and properties. We also strive from the
start to a categorical setting and derive the morphisms between state context
property systems from a merological covariance principle. We introduce the
category SCOP with as elements the state context property systems and as
morphisms the ones that we derived from this merological covariance principle.
We introduce property completeness and state completeness and study the
operational foundation of the formalismComment: 44 page

### A Potentiality and Conceptuality Interpretation of Quantum Physics

We elaborate on a new interpretation of quantum mechanics which we introduced
recently. The main hypothesis of this new interpretation is that quantum
particles are entities interacting with matter conceptually, which means that
pieces of matter function as interfaces for the conceptual content carried by
the quantum particles. We explain how our interpretation was inspired by our
earlier analysis of non-locality as non-spatiality and a specific
interpretation of quantum potentiality, which we illustrate by means of the
example of two interconnected vessels of water. We show by means of this
example that philosophical realism is not in contradiction with the recent
findings with respect to Leggett's inequalities and their violations. We
explain our recent work on using the quantum formalism to model human concepts
and their combinations and how this has given rise to the foundational ideas of
our new quantum interpretation. We analyze the equivalence of meaning in the
realm of human concepts and coherence in the realm of quantum particles, and
how the duality of abstract and concrete leads naturally to a Heisenberg
uncertainty relation. We illustrate the role played by interference and
entanglement and show how the new interpretation explains the problems related
to identity and individuality in quantum mechanics. We put forward a possible
scenario for the emergence of the reality of macroscopic objects.Comment: 20 pages, 1 figur

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