First, here are answers to the question:
Why would we want to look for an alternate of time?

1. Look at the picture of the gears of the clock.
   Now should we forget to rewind the spring, the gears will stop.
   And because we think that time is given by the clock, we should also think that time stops when the clock stops!
   But we do not!
   Our mental concept of time disconnects and frees itself from the physical clock when the later stops.
   
   Here is the first reason for which an alternate to time is required:
   Our human abstract concept of time is totally disconnected from any alleged physical measure we make of it.
    
2. The idea of time within our mind is the byproduct of a one way process that starts with our observation of the motion of something, followed by the transmission of that information through our optical nerve, and which ends up within our brain as a fictitious idea totally disconnected from that motion as in the end that physical motion is no longer needed!
   And it is a one way process in a second way! The process doesn't work backward from thought to reality!
   
   And here is another, now unambiguous, argument.
   Our idea of time is unable to run any physical apparatus, let alone a clock.
    
3. Another hint that time (as we conceive it) has no physical collateral is found in the very measures we make of time.
   It turns out that no measure of unit of time, invented by us human, coincide with another!
   Take the day that coincides to the succession of days and nights, that day does not coincide to an exact number of days within a year.
   So the "universal time" measured through a "day" doesn't fit the" universal time "measured through a "year"!
   You might argue that a "year" is not made of entire days and that is no big deal!
   But that is precisely the point, should we use the "year" or the "day" as unit of time?
   Now consider for a second a "second", as it is defined with an atomic clock that "second" doesn't fare better!
   The atomic clock's second is irreconcilable with our day to day second!
   Now which is the "true" unit of time, that of the day or of the atomic clock?
   
   The fact that we human are using several incompatible units of time is an hidden, ignored and voluntarily avoided incoherence.
   For this writer, that argument alone dismisses time!
    
4. Suppose we pick the atomic clock, for true unit of time, we're for another surprise! Bring the atomic clock in altitude and its "standard" varies!
   In altitude a clock runs faster!
   Move the atomic clock around and here goes again its precision of a billionth second per year! When in motion a clock runs slower!
   These phenomenon, discovered by Einstein, and called time dilation, show that the "entity of time" cannot be pinned down, even when the most accurate devices are involved.
   
   A comprehensive answer to the question: why would we look for an alternate to time is then:
   Time is always based on the motion of something. In the atomic clock that motion is the vibration of sub-atomic particles.
   And that internal motion, is always dependent on another overall motion.
   And that overall motion will always be dependent on the expansion (the motion) of the universe.
   A fundamental physical phenomenon that is called motion is behind our human fictitious concept of time!
   

An evident alternate to time...

1. Our concept of speed or motion is expressed as a function of time: miles per hour, or kilometers per hour.
   Similarly the definition of motion or speed in physics is based on time: v (velocity) = d (distance) / t (time).
2. But now with Einstein's time dilation we find the opposite! Time instead depends physically on motion or speed!
   Physics ideas and concepts of speed and time resemble a snake feeding on it's own tail...
3. The answer is to abolish the idea of time from our thinking, keeping only in mind the reality of motion!
   In reality time doesn't exist!
   The motion of the hands of the clock, then their stopping only are physical and evident.
   In the gravimotion interpretation of Nature motion replaces not only time but also space.
   We are living in motion, not in time!
4. Evidently, as far as our day to day lives are concerned, our concept of time needs neither to be abolished nor to be replaced!
   Only when we try to make sense of Nature do we have to abolish time.

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