A Note on Holographic Principle in models of Extended Inflation type

TL;DR

This paper derives an upper bound on vacuum bubble sizes in extended inflation models using holographic principles, linking it to density fluctuation bounds and providing a simple derivation method.

Contribution

It offers a straightforward derivation of the holographic bound on vacuum bubble sizes in extended inflation, connecting it to density fluctuation constraints.

Findings

Upper bound on vacuum bubble size derived

Bound consistent with Fischler-Susskind holographic principle

Implications for density fluctuation limits

Abstract

We present a simple derivation of an upper bound on the average size of the true vacuum bubbles at the end of inflation, in models of extended inflation type. The derivation uses the inequality that the total energy inside a given volume must be less than its linear dimensions. The above bound is the same as that obtained earlier, by applying the holographic principle according to Fischler-Susskind prescription. Such a bound leads to a lower bound on the denisty fluctuations.