The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Possible Connection Between Gravitation and Fundamental Length
Abstract
An analysis of the effect of gravitation on hypothetical experiments indicates that it is impossible to measure the position of a particle with error less than $\ensuremath{\Delta}x\ensuremath{\gtrsim}\ensuremath{\surd}G=1.6\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}33}$ cm, where $G$ is the gravitational constant in natural units. A similar limitation applies to the precise synchronization of clocks. It is possible that this result may aid in the solution of the divergence problems of field theory. An equivalence is established between the postulate of a fundamental length and a postulate about gravitational field fluctuations, and it is suggested that the formulation of a fundamental length theory which does not involve gravitational effects in an important way may be impossible.
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Citations
Cites
The Classical Theory of Fields
(1975) · doi:10.1016/c2009-0-14608-1 · Cited by 4,725
Gravitation, an introduction to current research
Sewell, G. L. (1963) · Journal of the Franklin Institute · doi:10.1016/0016-0032(63)90691-4 · Cited by 1,942
Relativity, Thermodynamics and Cosmology
DINGLE, H. (1935) · Nature · doi:10.1038/135935a0 · Cited by 1,501
Some Special Examples in Renormalizable Field Theory
Lee, T. D. (1954) · Physical Review · doi:10.1103/physrev.95.1329 · Cited by 700
On the nature of quantum geometrodynamics
Wheeler, J. A. (1957) · Annals of Physics · doi:10.1016/0003-4916(57)90050-7 · Cited by 693
Niels Bohr and the development of physics
(1956) · Journal of the Franklin Institute · doi:10.1016/0016-0032(56)91179-6 · Cited by 663
Time in the Quantum Theory and the Uncertainty Relation for Time and Energy
Aharonov, Y., & Bohm, D. (1961) · Physical Review · doi:10.1103/physrev.122.1649 · Cited by 482
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Salecker, H., & Wigner, E. P. (1958) · Physical Review · doi:10.1103/physrev.109.571 · Cited by 383
Relativistic Invariance and Quantum Phenomena
Wigner, E. P. (1957) · Reviews of Modern Physics · doi:10.1103/revmodphys.29.255 · Cited by 355
General Relativity and the Divergence Problem in Quantum Field Theory
Deser, S. (1957) · Reviews of Modern Physics · doi:10.1103/revmodphys.29.417 · Cited by 132
Cited by
Discreteness of area and volume in quantum gravity
Rovelli, C., & Smolin, L. (1995) · Nuclear Physics B · doi:10.1016/0550-3213(95)00150-q · Cited by 1,365
QUANTUM GRAVITY AND MINIMUM LENGTH
GARAY, L. J. (1995) · International Journal of Modern Physics A · doi:10.1142/s0217751x95000085 · Cited by 1,371
“The process of detecting a particle with a microscope and some related thoughtexperiments were carefully analyzed by Mead [ 12 ].”
MethodAMELINO-CAMELIA, G. (2002) · International Journal of Modern Physics D · doi:10.1142/s0218271802001330 · Cited by 1,186
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
The asymptotic safety scenario in quantum gravity: an introduction
Niedermaier, M. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/18/r01 · Cited by 264
Metadata
- Authors
- Mead, C. A.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1964-08-10
- Volume
- 135
- Issue
- 3B
- Pages
- B849-B862
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2036065655
- Cited by
- 400
- References
- 12
- FWCI
- 4.77
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
