Here is food for thought, while I put on my waders.

From 'The Meaning of Relativity', Albert Einstein, 1956:

page 1.

"The experiences of an individual appear to us arranged in a series of events; in this series the single events which we remember appear to be ordered according to the criteria of "earlier" and "later", which cannot be analysed further. There exists, therefore, for the individual, an I-time, or subjective time."

page 31.

"The non-divisibility of the four-dimensional continuum of events does not at all, however, involve the equivalence of the space coordinates with the time coordinate."

page 32.

"Finally, with Minkowski, we introduce in place of the real time co-ordinate l=ct, the imaginary time co-ordinate..."

From "On the Electrodynamics of Moving Bodies", A. Einstein, June 30 1905:

par 1.

``The pointing of the small hand of my watch to 7 and the arrival of the train are simultaneous events."

The author of SR didn't believe or promote the idea of an objective time. In contrast, he developed the idea of clock time or time measurement as being motion dependent! It was Minkowski who expressed the time variable as a mathematical 'dimension', but solely for mathematical purposes, as noted above.

Subjective time requires memory as mentioned in the first quote, which allows a comparison of a current state to a previous state for any changes, which lends itself to an interpretation of time flowing. Patients with brain damage to specific areas involved in maintaining a personal chronology, lose their ability to estimate elapsed time, short or long term. Consider the fact that people waking from a comatose state, have no memory of how much elapsed time, whether hrs, days, or even years.

Consider one of the greatest misnomers ever used, 'motion pictures' or 'movies', where a person observes a sequence of still photos and the mind melds them to produce moving objects where there is no motion.

The simplest argument against the arrow of time, time is a scalar, a magnitude with no direction.

The operational definition of assigning a time to an event as mentioned by A.E. in the 1905 paper is essentially what it is, and how it's been done since humans appeared.

It is a correspondence convention, i.e., assigning events of interest to standard clock events, a measure and ordering of activity, with 'time' always increasing/accumulating.

It is an accounting scheme developed out of practical necessity, for human activities like agriculture, business, travel, science, etc. The unit of measure for time initially referred to relative positions of astronomical objects, stars, sun, and moon, which implies earth rotations and earth orbits. The year equates to the periodic motion of the earth relative to the sun, the month, the moon relative to the earth, and the day, the earth rotation relative to the stars. All units of time are by definition, involving spatial motion or distance. The clock further divides the day into smaller units of measure. The reference in the 1905 paper of the watch hand to a position on the watch face involves nothing more than counting hand cycles (hand motion of specific distances representing subdivisions of a day). Finally, with the present day light clock, with internal light oscillations between an emitter and a mirror spaced a distance d, the time t represents a quantity of light motion equal to 2kdc, i.e. a distance labeled as 'time'.

In the world of quantum physics, suppose a particle can have three states, a, b, and c. Suppose the first three observations record abc, and the second three record cba. Did time 'flow' backward? No, and we have proof, since the 'time' of each observation was recorded. It was just a reversed sequence.

Flipping a coin is governed by the rules of physics, yet the results are independent of time. The probability of H or T is always 1/2.

If an object is dropped from a height, next to a vertical measuring stick, and recorded on video, analysis of the video allows a mathematical relation to be formulated between the time stamp of each frame and the height of the object, like (h = h0 -.5gt2). Notice that verification of the experiment requires a clock, since measurement is the modus operandi of science. More importantly notice, gravity, not time, causes the object to fall, and the clock is just a means of ordering and relating the events.

To bury the idea of time (as we know and use it) as a causal factor, note that the time of an event is assigned after perception of the event.

Nothing like an objective 'time' has yet been discovered, but that doesn't imply it doesn't or couldn't exist. Consider all the 'fundamental' particles that were discovered, once the appropriate experiment was designed.