Abstract
We consider a model in which the Universe has an underpinning of oscillators in the quantum vacuum (or dark energy) at the Planck scale and deduce a number of otherwise inexplicable large number relations which have been considered to be empirical accidents. The analysis shows that the gravitational energy is the residual energy of the Planck oscillators constituting the Universe at large on the one hand, and elementary particles on the other. This explains a mysterious puzzle first pointed out by Weinberg several years ago, in a formula relating the pion mass to the Hubble constant, a puzzle which has remained unexplained ever since.
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