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From Spacetime to Fields and Back: Elementary Domains and their Philosophical Roots

Maresca, Enrico (2026) From Spacetime to Fields and Back: Elementary Domains and their Philosophical Roots. Tetsugaku Companion to Modern Physics and Kyoto School Philosophy. pp. 229-247. ISSN 978-3-032-05583-5

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Abstract

In his Field theory of elementary domains and particles (1968, co-authored with Katayama Yasuhisa), Yukawa Hideki presents his programme for reconstructing particle physics based on the concept of elementary domains. Rooted in the ongoing debates surrounding relativity and quantum physics, his project pursues a twofold objective: to study particle interactions while circumventing the divergence problem of quantum field theory, and to provide a unified framework for the recently discovered particle theories. This approach ultimately results in a question about the nature of spacetime. Yukawa’s answer is an audacious assumption about spacetime continuity: an elementary domain is a minimal region of spacetime with peculiar geometrical properties. In this contribution, I argue that Yukawa’s approach exemplifies a specific account of unification in physics, based on formal derivation and spatial intuition. The quantum nature of these domains reduces the entire particle content to geometrical properties, transforming the physical vacuum into a state of spacetime itself. As such, Yukawa faces the problem of illustrating how non-geometrical properties can emerge from underlying spacetime structures. I discuss how the philosophy of Nishida Kitaro might have provided the theoretical and philosophical background for the development of Yukawa’s physical theory. Ultimately, Yukawa’s attempt shows how the reconstruction of a unified particle picture presents a genuine challenge to both Eastern and Western Philosophy of Physics.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Maresca, Enricoenrico.maresca@phd.unipi.it0009-0006-5138-2530
Keywords: Yukawa Hideki; Elementary Domains; Unification; Particle theories; Quantum spacetime
Subjects: Specific Sciences > Physics > Fields and Particles
General Issues > History of Science Case Studies
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Field Theory
Depositing User: Mr Enrico Maresca
Date Deposited: 02 Mar 2026 13:36
Last Modified: 02 Mar 2026 13:36
Item ID: 28412
Journal or Publication Title: Tetsugaku Companion to Modern Physics and Kyoto School Philosophy
Publisher: Springer Cham
DOI or Unique Handle: https://doi.org/10.1007/978-3-032-05584-2
Subjects: Specific Sciences > Physics > Fields and Particles
General Issues > History of Science Case Studies
Specific Sciences > Physics > Quantum Gravity
Specific Sciences > Physics > Quantum Field Theory
Date: 2026
Page Range: pp. 229-247
ISSN: 978-3-032-05583-5
URI: https://philsci-archive.pitt.edu/id/eprint/28412

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