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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...

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Related Experiment Video

Updated: May 28, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

On Quantum Relations.

François Dubois^1,2, Zeno Toffano³

¹LMSSC Laboratory, Conservatoire National des Arts et Métiers, 75141 Paris, France.

Entropy (Basel, Switzerland)

|May 26, 2026

Summary

This summary is machine-generated.

This study introduces a quantum relations framework, suggesting nature

Keywords:

eigenlogic fractaquantum quantum relations quantum semantics quantum-like modeling relational ontology social laser

Related Experiment Videos

Last Updated: May 28, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Area of Science:

Theoretical Physics
Quantum Mechanics
Semiotics
Social Sciences

Background:

Existing theories describe quantum phenomena at subatomic levels.
A unified framework for quantum-like principles across scales is lacking.
Scale-dependent semantic structures offer a novel perspective on relations.

Purpose of the Study:

To propose a conceptual framework for quantum relations as operator-based, scale-dependent semantic structures.
To explore the "fractaquantum" hypothesis, positing quantum properties across all scales.
To unify diverse quantum-like approaches under a relational paradigm.

Main Methods:

Utilizing Pauli operators for a semantic theory of quantum relations.
Applying the semiotic square and eigenlogic principles.
Defining the exchange operator based on "two one-half spin" quantum composition.

Main Results:

Demonstrated application to macroscopic phenomena like "social lasers" and entanglement dynamics.
Indicated that individuality and social coherence may follow scale-invariant quantum principles.
Highlighted the role of fractal scaling, contextuality, non-commutativity, and entanglement in semantic relations.

Conclusions:

The proposed framework offers a unified relational paradigm for quantum-like phenomena.
Quantum principles are suggested to govern semantic relations across physical, cognitive, social, and artistic domains.
Scale-invariant quantum principles provide a basis for understanding complex systems from micro to macro levels.