Fetching the paper…
Reading the bibliography…
Certain remnants of a quantum spacetime foam can be modeled by a distribution of defects embedded in a flat classical spacetime.
F.V. Atkinson, “LXI. On Sommerfeld’s ‘radiation condition’,” Philosophical Magazine 40
1949
Earlier work this paper cites.
J.A. Wheeler, “Geons,” Phys. Rev. 97
1955
Earlier work this paper cites.
J.A. Wheeler, “On the nature of quantum geometrodynamics,” Annals Phys. 2
1957
Earlier work this paper cites.
M. Tenembaum and H. Pollard, Ordinary Differential Equations
1963
Earlier work this paper cites.
A general result for the Klein–Gordon scalar-field solutions over the smooth defect manifold ℳ b \mathcal{M}_{b} for b > 0 b>0 is the following: any parity-odd observable has vanishing matrix elements between these scalar states, according to the parity selection rules. [For a succinct discussion of parity selection rules, see, e.g., K. Gottfried, Quantum Mechanics, Volume I: Fundamentals
1966
Earlier work this paper cites.
S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time
1973
Earlier work this paper cites.
N.D. Birrell and P.C.W. Davies, Quantum Fields in Curved Space
1984
Earlier work this paper cites.
J.L. Friedman, K. Schleich, and D.M. Witt, “Topological censorship,” Phys. Rev. Lett. 71
1995
Cited alongside, same era.
M. Nakahara, Geometry, Topology and Physics
2003
Cited alongside, same era.
A. Einstein, “Die Grundlage der allgemeinen Relativitätstheorie,” Annalen Phys. 49
2005
Cited alongside, same era.
S. Bernadotte and F.R. Klinkhamer, “Bounds on length-scales of classical spacetime foam models,” Phys. Rev. D 75
2007
Cited alongside, same era.
2010
Cited alongside, same era.
M. Schwarz, Nontrivial Spacetime Topology, Modified Dispersion Relations, and an S O ( 3 ) SO(3) -Skyrme Model
G. Amelino-Camelia, “Quantum-spacetime phenomenology,” Living Rev. Rel. 16
2013
Later among the works it cites.
S. Hossenfelder, “Phenomenology of space-time imperfection I: Nonlocal defects,” Phys. Rev. D 88
2013
Later among the works it cites.
F.R. Klinkhamer, “Black-hole solution without curvature singularity,” Mod. Phys. Lett. A 28
2013
Later among the works it cites.
F.R. Klinkhamer and C. Rahmede, “Nonsingular spacetime defect,” Phys. Rev. D 89
2014
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
J. Louko, “Geon black holes and quantum field theory,” J. Phys. Conf. Ser. 222
2010
Cited alongside, same era.
These results are obtained in the sense of distributions. The metric components are not differentiable at y ~ = 0 \widetilde{y}=0
Cited in the paper.
When taking the limit b → 0 b\rightarrow 0 , we must remember to add a point to the manifold, in order to fill-in the point-like remnant of the spacetime defect at the origin: ℳ ~ 0 = lim b → 0 ℳ ~ b + { 0 } \widetilde{\mathcal{M}}_{0}=\lim_{b\rightarrow 0}\widetilde{\mathcal{M}}_{b}+\{0\}
Cited in the paper.
The change of coordinates ( 19
Cited in the paper.
The factors ( y 2 + b 2 ) 1 / 2 (y^{2}+b^{2})^{1/2} in the metrics from ( 23
Cited in the paper.
Hence, y y is a type of “pre-radial” coordinate with the sign of y y corresponding to the different sides of the defect
Cited in the paper.
2014
Closest in time.
F.R. Klinkhamer, “Skyrmion spacetime defect,” Phys. Rev. D 90
2014
Closest in time.