Cited by 1,003Relativity and Gravitational TheoryBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories

Schwarzschild field inn dimensions and the dimensionality of space problem

Tangherlini, F. R.·1963·Il Nuovo Cimento

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Crossref · 10.1007/bf02784569

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Claims the paper makes

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Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • Traditional quantum atoms cannot be stable in a space with n > 3.

    “and traditional quantum atoms cannot be stable either [5].”

    From On the dimensionality of spacetime (1997) · cites this paper as [5]

  • In quantum mechanics, the hydrogen atom has no bound states for n > 3.

    “a study of the Schrödinger equation shows that the hydrogen atom has no bound states for n > 3 [5].”

    From On the dimensionality of spacetime (1997) · cites this paper as [5]

  • In general relativity, the situation for n > 3 is analogous.

    “The situation in general relativity is analogous [5].”

    From On the dimensionality of spacetime (1997) · cites this paper as [5]

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Authors
Tangherlini, F. R.
Affiliations
Duke University (US)
Corresponding author
Tangherlini, F. R.
Venue
Il Nuovo Cimento
Published
1963-02
Volume
27
Issue
3
Pages
636-651
ISSN
  • 0029-6341 (ISSN-L)
  • 1827-6121
OpenAlex
W1978137192
Cited by
1,003
References
0
Citations by year
2026: 52 · 2025: 39 · 2024: 46 · 2023: 31 · 2022: 37 · 2021: 42 · 2020: 47 · 2019: 33 · 2018: 56 · 2017: 62 · 2016: 38 · 2015: 41 · 2014: 27 · 2013: 35 · 2012: 35
FWCI
1.33
Type
journal article
Language
en
Open access
closed
Locations
Il Nuovo Cimento (publishedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
Schwarzschild field, extra dimensions, dimensionality of space, bounded orbits, stable states, geodesic equations, asymptotic conditions, rigid rods, quantum electrodynamics, general relativity

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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.

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