Schwarzschild field inn dimensions and the dimensionality of space problem
Integrity signals
Registry
Cites
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Claims the paper makes
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]
Cited by
Sorted by citations
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
- 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
- Licence
- www.springer.com/tdm (tdm)
- 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
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.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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