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G. T. Hooft, “How Instantons Solve the U(1) Problem,” Physical Reports, Vol. 142, No. 6, 1986, pp. 357-387. doi:10.1016/0370-1573(86)90117-1

has been cited by the following article:

• TITLE: What the Null Energy Condition (and When It May Be Violated) Tells Us about Gravitational Wave Frequencies in/for Relic Cosmology?

  AUTHORS: Andrew Beckwith

  KEYWORDS: Null Energy Condition, Violation of Null Energy Condition, Cyclic Conformal Cosmology, Entropy, Multiverse

  JOURNAL NAME: Journal of Modern Physics, Vol.2 No.9, September 19, 2011

  ABSTRACT: We introduce a criterion as to the range of HFGW generated by early universe conditions. The 1 to 10 Giga Hertz range is constructed initially starting with what Grupen writes as far as what to expect of GW frequencies which can be detected assuming a sensitivity of 7×h~10-27 . From there we examine the implications of an earlier Hubble parameter at the start of inflation, and a phase transition treatment of pre to post Planckian inflation physics via use of inflatons. We close with an analysis of how gravitational constant G may vary with time, the tie in with the NEC condition and how to select a range of relic GW frequencies. The gravitational frequencies in turn may enable resolving a mis match between the datum that the entropy of the center of the galaxy black hole is greater than the entropy of the present four dimensional universe as we can infer and measure.