Publication

Non-Usual Topologies on Space-Time and High Energy Scattering

Atkinson, D. & Halpern, M. B., 1967, In : Journal of Mathematical Physics. 8, 3, p. 373-387 15 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Atkinson, D., & Halpern, M. B. (1967). Non-Usual Topologies on Space-Time and High Energy Scattering. Journal of Mathematical Physics, 8(3), 373-387. https://doi.org/10.1063/1.1705202

Author

Atkinson, D. ; Halpern, M. B. / Non-Usual Topologies on Space-Time and High Energy Scattering. In: Journal of Mathematical Physics. 1967 ; Vol. 8, No. 3. pp. 373-387.

Harvard

Atkinson, D & Halpern, MB 1967, 'Non-Usual Topologies on Space-Time and High Energy Scattering', Journal of Mathematical Physics, vol. 8, no. 3, pp. 373-387. https://doi.org/10.1063/1.1705202

Standard

Non-Usual Topologies on Space-Time and High Energy Scattering. / Atkinson, D.; Halpern, M. B.

In: Journal of Mathematical Physics, Vol. 8, No. 3, 1967, p. 373-387.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Atkinson D, Halpern MB. Non-Usual Topologies on Space-Time and High Energy Scattering. Journal of Mathematical Physics. 1967;8(3):373-387. https://doi.org/10.1063/1.1705202


BibTeX

@article{1d362d8f70e54d2fb90a679da9608bb8,
title = "Non-Usual Topologies on Space-Time and High Energy Scattering",
abstract = "Motivated by recently observed deviations from quantum electrodynamical theory, we study the possibility that our notions of space‐time may need revision at small distances. In this work, we wish to call attention to certain techniques which are available for studying different space‐time structures within the framework of topology. Our main effort is in the consideration of a non‐usual topology on space‐time in which is embedded an elementary length. By working separately in each n‐particle subspace, the embedding is done in an inhomogeneous Lorentz invariant way, and we avoid any lattice structure in space‐time. Particles in this topology are in general extended structures, and we find the surprising feature that, at high energies, the topology enhances backward and large‐angle scattering. From these preliminary investigations, we are not as yet able to make more than qualitative comparison with experiment. Along the way, we have the opportunity to remark on ways of embedding an intrinsic breakdown of certain invariances (e.g., parity) in the topology of space‐time.",
author = "D. Atkinson and Halpern, {M. B.}",
year = "1967",
doi = "10.1063/1.1705202",
language = "English",
volume = "8",
pages = "373--387",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "AMER INST PHYSICS",
number = "3",

}

RIS

TY - JOUR

T1 - Non-Usual Topologies on Space-Time and High Energy Scattering

AU - Atkinson, D.

AU - Halpern, M. B.

PY - 1967

Y1 - 1967

N2 - Motivated by recently observed deviations from quantum electrodynamical theory, we study the possibility that our notions of space‐time may need revision at small distances. In this work, we wish to call attention to certain techniques which are available for studying different space‐time structures within the framework of topology. Our main effort is in the consideration of a non‐usual topology on space‐time in which is embedded an elementary length. By working separately in each n‐particle subspace, the embedding is done in an inhomogeneous Lorentz invariant way, and we avoid any lattice structure in space‐time. Particles in this topology are in general extended structures, and we find the surprising feature that, at high energies, the topology enhances backward and large‐angle scattering. From these preliminary investigations, we are not as yet able to make more than qualitative comparison with experiment. Along the way, we have the opportunity to remark on ways of embedding an intrinsic breakdown of certain invariances (e.g., parity) in the topology of space‐time.

AB - Motivated by recently observed deviations from quantum electrodynamical theory, we study the possibility that our notions of space‐time may need revision at small distances. In this work, we wish to call attention to certain techniques which are available for studying different space‐time structures within the framework of topology. Our main effort is in the consideration of a non‐usual topology on space‐time in which is embedded an elementary length. By working separately in each n‐particle subspace, the embedding is done in an inhomogeneous Lorentz invariant way, and we avoid any lattice structure in space‐time. Particles in this topology are in general extended structures, and we find the surprising feature that, at high energies, the topology enhances backward and large‐angle scattering. From these preliminary investigations, we are not as yet able to make more than qualitative comparison with experiment. Along the way, we have the opportunity to remark on ways of embedding an intrinsic breakdown of certain invariances (e.g., parity) in the topology of space‐time.

U2 - 10.1063/1.1705202

DO - 10.1063/1.1705202

M3 - Article

VL - 8

SP - 373

EP - 387

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 3

ER -

ID: 53565738