DIGITAL TIME: A FINITE FIELD, $T_\mathbb{F}$

Abstract

Digital time was defined KSR-PP [2] with three two-digit positions as $h_2h_1 : m_2m_1 : s_2s_1$. It was identified with appropriate restricted place values on the hours $(H)$, minutes $(M)$ and seconds $(S)$ shown to be $86400$-element cyclic Time Group, $T_G$. Here it is shown to be a finite time field, $T_\mathbb{F}$. A palindromic sequence of $119$-elements and its sub-sequences are shown to be consequences of $T_F$.