## How a Minimum Time Step Based in Pre Planckian Space-Time if Friedman Equation H Set Equal to Zero Leads to the Arrow of Time.

**Authors:** Andrew Beckwith

Our view point is to assume that the cosmological constant is indeed invariant. And also done where we use an inflaton value due to use of a scale factor if we furthermore use g(tt) as the variation of the time component of the metric tensor in Pre-Planckian Space-time up to the Planckian space-time initial values. In doing so, we come up with a polynomial expression for a minimum time step, we can call delta t which would be likely smaller than the Planck time interval/ We then discuss how the development of leads to a development of the arrow of time, and the preservation of information, of essential type, in cosmological early universe dynamics. In doing so, the goal of an ‘arrow of time’ is intrinsically linked to the utility of causal structure. Our goal of identification of causal structure, which we bring up is essential to the arrow of time, and the use of the Friedman equation, which in itself gives little information, is motivation for how we form the
arrow of time, and assumed causal structure. Without this sort of additional information, the Friedman equation and the use of the Heisenberg Uncertainty principle are actually mathematical structures with no real content, in themselves. And the existence of Causal structure only commences right after the regime of Space-time for which H > 0,. Not in when H = 0. The aims of this study is to configure extremely general Friedman equations into a specific inquiry as to how to form a minimum time step, and its relations to how the arrow of time (linked to initial generation of entropy) arises through

**Comments:** 7 Pages.

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### Submission history

[v1] 2017-02-23 10:59:06

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