Roger, P. (1981) Time—Asymmetry and Quantum Gravity. In: Isham, C., Penrose, R. and Sciama, D., Eds., Quantum Gravity, a Second Oxford Symposium, Oxford University Press, Oxford, UK, 244-272.

has been cited by the following article:

• TITLE: How a Minimum Time Step Leads to a Causal Structure Used to Form Initial Entropy Production and High Frequency Gravitons, with 7 Subsequent Open Questions

  AUTHORS: Andrew Walcott Beckwith

  KEYWORDS: Inflaton Physics, Causal Structure Entropy, HFGW

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.3 No.3, July 28, 2017

  ABSTRACT: We start where we use an inflaton value due to use of a scale factor . Also we use as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian spacetime initial values. In doing so, we come up with a polynomial expression for a minimum time step; we can call which leads to a development of the arrow of time. We show an inter relationship between the formation of the Arrow of time, and Causal structure, assuming the setting of H = 0 in the Friedman equation This in turn leads to entropy production at the start of causal structure in the onset of inflation. This then leads to three and a quarter pages of 7 open questions we think have to be answered, subsequently. It is noted that high frequency gravitational waves as specified are due to the 1/delta t entry in Equation (45) of the document which comes out to about 44 Hertz, and certainly is high frequency gravitational waves for the initial cosmological conditions, so this is definitely about high frequency gravitational wave focused initial conditions.