This paper is a revisit to a 2011 document, with the addition of results pertinent to singularities in the case of a single repeating universe, as well as when the multiverse voids the necessity of a classical GR singularity. When a classical singularity does not exist, it impacts the formation of a massive graviton for reasons brought up, and allows for reacceleration of the universe due to massive gravitons. The existence of massive gravitons would also affect initial entropy, and also lead to the datum, that a calculated inflaton
may re-emerge after fading out in the aftermath of inflation. The inflaton may be a contributing factor, with non-zero graviton mass, in reacceleration of the universe a billion years ago. The inflaton is a source of reacceleration of the universe, especially if the effects of a re-emergent inflaton are in tandem with the appearance of macro effects of a small graviton mass, leading to a speed up of the rate of expansion of the universe one billion years ago, at red shift value of Z ~ 0.423. We find that the graviton being massless or massive directly affects graviton contributions to reacceleration of the universe, with other phenomenological consequences. Finally we give our own counterpart as to how much space-time should be transferred to the present cosmological inflationary cycle which may permit preservation of Planks constant value and support Corda’s brilliant “gravity’s breath” document.