Über eine Mittelwertseigenschaft von Lösungen homogener linearer partieller Differentialgleichungen 2. Ordnung mit konstanten Koeffizienten
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The case (n, m) = (1, 3) is mathematically equivalent to the case where (n, m) = (3, 1) and all particles are tachyons with imaginary rest mass.
“Since a mere minus sign distinguishes space from time, the remaining case (n, m) = (1, 3) is mathematically equivalent to the case where (n, m) = (3, 1) and all particles are tachyons [14] with imaginary rest mass.”
From On the dimensionality of spacetime (1997) · cites this paper as [14]
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On the dimensionality of spacetime
Tegmark, M. (1997) · Classical and Quantum Gravity · doi:10.1088/0264-9381/14/4/002 · Cited by 135 · see citing works
- Authors
- Ásgeirsson, L.
- Corresponding author
- Ásgeirsson, Leifur
- Venue
- Mathematische Annalen
- Published
- 1937-12
- Volume
- 113
- Issue
- 1
- Pages
- 321-346
- ISSN
- 0025-5831 (ISSN-L)
- 1432-1807
- OpenAlex
- W2090530023
- Cited by
- 58
- References
- 0
- Citations by year
- 2025: 1 · 2023: 3 · 2021: 1 · 2020: 3 · 2019: 3 · 2016: 2 · 2014: 1 · 2012: 1
- FWCI
- 4.50
- Type
- journal article
- Language
- de
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Mathematische Annalen (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Differential Equations and Boundary Problems
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical and Theoretical Analysis
- Physical Sciences › Mathematics › Applied Mathematics › Nonlinear Partial Differential Equations
- Keywords
- mean value property, second-order partial differential equations, constant coefficients
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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