In my recent paper [1] published by Prespacetime Journal I discussed certain consequences of the entropy formula presented by A.W. Beckwith and his coauthors [2]. The main result of the deductions were bonons and the inflaton constant. However, I now consider the Beckwith entropy formula to be wrong, and deductions based on this relation can therefore be at most half-true. In this brief paper the right way to deduce the entropy formula is concisely discussed, the results obtained previously are revised, and certain new results are presented.