Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Of Plato and Heisenberg and How to Represent the World in Terms of Broken Symmetries

Pieter Thyssen, CRF International Conference, Understanding Matter: Philosophical Perspectives

Published Jan 1, 2014• 0 citations
OpenAlex

Related papers

Quantum Mechanics and Philosophy : Heisenberg, Plato, Kant

Ren Ino

埼玉学園大学紀要. 人間学部篇•Dec 1, 2020•0 citations

Quantum mechanics as a broken symmetry

H.A. Kastrup

Nuclear Physics B•Nov 1, 1968•2 citations

De Heisenberg a Hegel: reflexões metafísicas sobre a física quântica

Sinésio Ferraz Bueno

The rupture established by quantum physics in relation to classical physics led to a redefinition of scientific objectivity, which has since relied on mathematical formalism for the knowledge of wave functions. This conception of a "weak objectivity" motivated Werner Heisenberg to resort to Plato's idealism to explain the internal constitution of the material world from geometric structures. However, faced with an idealist paradigm incompatible with modern science, Heisenberg conceived that Kant's philosophy would be the most acceptable reference for interpreting quantum phenomena within the empiricist limits of scientific research. This article presents Hegel's idealism of the absolute as a philosophical horizon for a possible overcoming of the rigidity of the Kantian limits, aiming at a metaphysical interpretation of quantum physics.

Griot Revista de Filosofia•Jun 18, 2023•0 citations

Heisenberg and the Interpretation of Quantum Mechanics

Kristian Camilleri

•Feb 1, 2009•8 citations

On broken symmetries and classical systems

Benjamin H. Feintzeig

Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics•Oct 1, 2015•7 citations

Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices

B. Bernu, C. Lhuillier, Laurent Pierre

We show how the broken symmetries of the N\'eel state are embodied in the exact spectrum of the triangular Heisenberg antiferromagnet on finite lattices as small as N=21 (spectra up to N=36 have been computer). We present the first numerical evidence of an extensive set of low-lying levels that are below the softest magnons and collapse to the ground state in the thermodynamic limit. This set of quantum states represents the quantum counterpart of the classical N\'eel ground state. We develop an approach relying on the symmetry analysis and finite-size scaling and we provide new arguments in favor of an ordered ground state for the S=1/2 triangular Heisenberg model.

Physical Review Letters•Oct 26, 1992•384 citations
The rupture established by quantum physics in relation to classical physics led to a redefinition of scientific objectivity, which has since relied on mathematical formalism for the knowledge of wave functions. This conception of a "weak objectivity" motivated Werner Heisenberg to resort to Plato's idealism to explain the internal constitution of the material world from geometric structures. However, faced with an idealist paradigm incompatible with modern science, Heisenberg conceived that Kant's philosophy would be the most acceptable reference for interpreting quantum phenomena within the empiricist limits of scientific research. This article presents Hegel's idealism of the absolute as a philosophical horizon for a possible overcoming of the rigidity of the Kantian limits, aiming at a metaphysical interpretation of quantum physics.
We show how the broken symmetries of the N\'eel state are embodied in the exact spectrum of the triangular Heisenberg antiferromagnet on finite lattices as small as N=21 (spectra up to N=36 have been computer). We present the first numerical evidence of an extensive set of low-lying levels that are below the softest magnons and collapse to the ground state in the thermodynamic limit. This set of quantum states represents the quantum counterpart of the classical N\'eel ground state. We develop an approach relying on the symmetry analysis and finite-size scaling and we provide new arguments in favor of an ordered ground state for the S=1/2 triangular Heisenberg model.