A Planck Radiation and Quantization Scheme for Human Cognition and
Language
- URL: http://arxiv.org/abs/2201.03306v1
- Date: Mon, 10 Jan 2022 12:13:23 GMT
- Title: A Planck Radiation and Quantization Scheme for Human Cognition and
Language
- Authors: Diederik Aerts and Lester Beltran
- Abstract summary: We show that the lack of independence of the Bose-Einstein statistics compared to the Maxwell-Boltzmann statistics can be explained by the presence of a'meaning dynamics'
We show that entanglement is a necessity for preserving the'meaning dynamics' we identified, and it becomes clear in what way Fermi-Dirac addresses human memory.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: As a result of the identification of 'identity' and 'indistinguishability'
and strong experimental evidence for the presence of the associated
Bose-Einstein statistics in human cognition and language, we argued in previous
work for an extension of the research domain of quantum cognition. In addition
to quantum complex vector spaces and quantum probability models, we showed that
quantization itself, with words as quanta, is relevant and potentially
important to human cognition. In the present work, we build on this result, and
introduce a powerful radiation quantization scheme for human cognition. We show
that the lack of independence of the Bose-Einstein statistics compared to the
Maxwell-Boltzmann statistics can be explained by the presence of a 'meaning
dynamics', which causes words to be attracted to the same words. And so words
clump together in the same states, a phenomenon well known for photons in the
early years of quantum mechanics, leading to fierce disagreements between
Planck and Einstein. Using a simple example, we introduce all the elements to
get a better and detailed view of this 'meaning dynamics', such as micro and
macro states, and Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac numbers and
weights, and compare this example and its graphs, with the radiation
quantization scheme of a Winnie the Pooh story, also with its graphs. By
connecting a concept directly to human experience, we show that entanglement is
a necessity for preserving the 'meaning dynamics' we identified, and it becomes
clear in what way Fermi-Dirac addresses human memory. There, in spaces with
internal parameters identical words can nevertheless be assigned different
states.
Related papers
- Expressibility, entangling power and quantum average causal effect for causally indefinite circuits [37.69303106863453]
We implement parameterized quantum circuits with definite and indefinite causal order.
One of these is the expressibility, which measures how uniformly a given quantum circuit can reach the whole Hilbert space.
We find a correlation between the quantum average causal effect and the entangling power.
arXiv Detail & Related papers (2024-11-13T13:53:02Z) - A computational test of quantum contextuality, and even simpler proofs of quantumness [43.25018099464869]
We show that an arbitrary contextuality game can be compiled into an operational "test of contextuality" involving a single quantum device.
Our work can be seen as using cryptography to enforce spatial separation within subsystems of a single quantum device.
arXiv Detail & Related papers (2024-05-10T19:30:23Z) - A Theory of Quantum Jumps [44.99833362998488]
We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field.
Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
arXiv Detail & Related papers (2024-04-16T11:00:46Z) - Quantum Universe and its Elusive Classicality [0.0]
Article explores challenges presented by revelations in physics and the questions they provoke concerning reality.
It sheds light on the disparity between the indefinite nature of quantum reality and our perception of classical reality.
arXiv Detail & Related papers (2024-01-29T23:01:29Z) - A Quantum-Classical Model of Brain Dynamics [62.997667081978825]
Mixed Weyl symbol is used to describe brain processes at the microscopic level.
Electromagnetic fields and phonon modes involved in the processes are treated either classically or semi-classically.
Zero-point quantum effects can be incorporated into numerical simulations by controlling the temperature of each field mode.
arXiv Detail & Related papers (2023-01-17T15:16:21Z) - Development of a Thermodynamics of Human Cognition and Human Culture [0.0]
We show that the notions of 'energy' and 'entropy' can be consistently introduced in human language and in human culture.
We propose a new 'non-classical thermodynamic theory for human cognition and human culture'
arXiv Detail & Related papers (2022-12-24T18:19:05Z) - Are Words the Quanta of Human Language? Extending the Domain of Quantum
Cognition [0.0]
We show that quantization is present in human cognition in the form of the words behaving as quanta of human language.
We investigate this entanglement, compute the von Neumann entropy and the amount of non purity of the density matrices of the words.
We interpret these results in terms of the prospect of developing a quantum-inspired thermodynamics for the cultural layer of human society.
arXiv Detail & Related papers (2021-10-10T22:02:06Z) - Quantum realism: axiomatization and quantification [77.34726150561087]
We build an axiomatization for quantum realism -- a notion of realism compatible with quantum theory.
We explicitly construct some classes of entropic quantifiers that are shown to satisfy almost all of the proposed axioms.
arXiv Detail & Related papers (2021-10-10T18:08:42Z) - The Logic of Quantum Programs [77.34726150561087]
We present a logical calculus for reasoning about information flow in quantum programs.
In particular we introduce a dynamic logic that is capable of dealing with quantum measurements, unitary evolutions and entanglements in compound quantum systems.
arXiv Detail & Related papers (2021-09-14T16:08:37Z) - Quantum Bose-Einstein Statistics for Indistinguishable Concepts in Human
Language [0.0]
We investigate the hypothesis that within a combination of a 'number concept' plus a'substantive concept', such as 'eleven animals'
All eleven animals are identical and indistinguishable, gives rise to a statistical structure of the Bose-Einstein type similar to how Bose-Einstein statistics is present for identical and indistinguishable quantum particles.
arXiv Detail & Related papers (2021-03-28T13:07:12Z) - The arithmetic of uncertainty unifies quantum formalism and relativistic
spacetime [0.0]
Quantum theory deals with objects probabilistically at small scales, whereas relativity deals classically with motion in space and time.
We show here that the mathematical structures of quantum theory and of relativity follow together from pure thought.
One dimension of time and three dimensions of space are thus derived as the profound and inevitable framework of physics.
arXiv Detail & Related papers (2020-12-19T20:40:27Z) - Operational Resource Theory of Imaginarity [48.7576911714538]
We show that quantum states are easier to create and manipulate if they only have real elements.
As an application, we show that imaginarity plays a crucial role for state discrimination.
arXiv Detail & Related papers (2020-07-29T14:03:38Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.