Time is invariant irrespective of frame of references.

Time is invariant means, it's succession remains unchanged irrespective of transformation applied on it. And it is universally acceptable.

A clock is not invariant means since it's mechanism subjects to various distortions, it cannot maintain invariant succession of time unless periodic adjustments applied in it to make it run as per the invariant succession of time.

When any made up reference frames are introduced within the universal frame of reference, then those introduced reference frames too ought to abide by the universal frame of reference, as no eventual frame of reference can be introduced beyond the universal frame of reference.

And time is invariant within universal frame of reference also mean time within all introduced frame of references would abide by the time in universal frame of reference, irrespective of those introduced frames of references are in relative motion or not.

The concept of universal time is always invariant so is any form of times in all reference frames.

Why time is invariant against events:

Time is mathematical parameter and not existential event, and time is invariant. Events invoke time.

For better understanding, when someone plots some variable event against y-axis in a co-ordinate system  against time scale in x-axis, since the changes in that event varies and so it makes a curved line along y-axis and since time is invariable, the x-axis remains a straight line against corresponding values of time.

This is possible, since events are variable hence changes, and represent a curved line, but since time is invariable in its scale, it is presented in a straight line in x-axis, against corresponding values of time.

If somehow, the clock for representing time gets distorted by external influences, the reading of time would be erroneous and this is exactly shown in my paper.

It is not that the scale of time is varying but it is the external distortions in the clock's oscillation frequency which is actually distorted and so the clock is presenting erroneous time ,

Therefore, the clock failed to present proper time not because of a change in time's scale but because of distortion in frequency or wavelength of the clock oscillation.

Time is invariant unless time keeping clock gets distorted.

Reference: Relativistic effects on phaseshift in frequencies invalidate time dilation II.

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