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Preprint . 2026
License: CC BY
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image/svg+xml art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos Open Access logo, converted into svg, designed by PLoS. This version with transparent background. http://commons.wikimedia.org/wiki/File:Open_Access_logo_PLoS_white.svg art designer at PLoS, modified by Wikipedia users Nina, Beao, JakobVoss, and AnonMoos http://www.plos.org/
ZENODO
Preprint . 2026
License: CC BY
Data sources: ZENODO
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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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How come the quantum? Testing the topological origin of Planck's quantum of action

Authors: Kauffman, Louis H.; Schiller, Christoph;

How come the quantum? Testing the topological origin of Planck's quantum of action

Abstract

An answer to Wheeler’s question “How come the quantum?” is proposed. Our answer goes back to an approach by Dirac and proposes a topological origin for Planck’s quantum of action. We propose a new fundamental principle: the quantum of action h-bar is due to twist-induced switches of crossings among fluctuating strands of Planck radius embedded in three dimensions. Due to their small radius, strands are invisible, though physically real. Nevertheless, crossing switches due to Dirac’s trick couple to photons, are thus observable, and define all physical observables. We verify the consequences of this fundamental principleagainst the basic quantum effects. The principle yields the appearance of particles as rationaltangles of strands, their indistinguishability, spin, and statistics. The principle also yieldsthe quantization of action and of angular momentum, wave-particle duality, emergence ofwave functions and Hilbert spaces, interference, Feynman’s path integral formulation, theSchrödinger equation, Heisenberg’s indeterminacy relation, non-commutativity, entanglement,the properties of photons, probabilities in measurements, Born’s rule, decoherence,spinors, chirality, antiparticles, and the Dirac equation. Strands also yield the principle ofleast action. The topological origin of the quantum of action appears to agree with all observationsand to be unique. Strands go beyond quantum mechanics: they determine leptonmasses, solve the mass hierarchy problem, and are consistent with the properties of physicalspace, with quantum field theory, particle physics, and general relativity.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average