Time is a form of energy in a relative motion work energy equation

A new relative motion work energy equation where time is an independent coordinate index rather than a correction variable, and using the Newtonian relativity/Galilean transformation shows that time can be used as a form of energy exchange where, where E= 1/2 *mf *g²* t, measured by ( kg*meter² /s³) and where mf stand for mass force which is time independent work energy ( kg-meter/s), where g is an universal acceleration of gravity ( m/s² ), t ( second) is the time lapse of a free falling object to reach the average speed of system motion.

Contest example: A piston in Direct injection cylinder moves in a lesser kinetic energy level, and lesser cylinder internal pressure than comparable indirect injection piston. Using equation like W=F*ds or kinetic energy ( E=1/2*m*v² ) give the incorrect impression that direct injection is less efficient, while using relative motion equation, shows that the lesser the time index, and lesser the piston speed, the higher the work efficiency is. Using similar fuel, the thermal equivalent is (E1=E2) and (mf1*t1 =mf2*t2) or (Work1*t1=Work2*t2).the lesser the system speed is the higher the time independent work energy per second is and the shorter the relative distance of displacement is compared with the traveled actual physical distance.