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Galloway, G.J., Miao, P. and Schoen, R. (2015) Initial Data and the Einstein Constraint Equations. In: Ashtekar, A., Berger, B.K., Isenberg, J. and MacCallum, M., Eds., General Relativity and Gravitation, Cambridge University Press, 412-448.
https://doi.org/10.1017/cbo9781139583961.012

has been cited by the following article:

• TITLE: Unruh Metric Tensor HUP via Planckian Space-Time Compared to HUP Based Complexity of Measured System Results to Obtain Inflaton Potential Magnitude

  AUTHORS: Andrew Walcott Beckwith

  KEYWORDS: Massive Gravitons, Heisenberg Uncertainty Principle (HUP)

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.10 No.4, October 10, 2024

  ABSTRACT: First of all, we restate a proof of a highly localized special case of a metric tensor uncertainty principle first written up by Unruh. Unruh did not use the Roberson-Walker geometry which we do, and it so happens that the dominant metric tensor we will be examining, is variation in δ g tt . The metric tensor variations given by δ g rr , δ g θθ and δ g ϕϕ are negligible, as compared to the variation δ g tt . Afterwards, what is referred to by Barbour as emergent duration of time δt is from the Heisenberg Uncertainty principle (HUP) applied to δ g tt in such a way as to be compared with ΔxΔp≥ ℏ 2 + γ ˜ ∂C ∂V with V here a volume spatial term and γ ˜ a complexification strength term and ∂C ∂V influence of complexity of physical system being measured in order to obtain a parameterized value for the initial value of an inflaton which we call V 0 .