If the clocks are in the same frame of reference and remain at rest relative to each other, there would be no time dilation between them. Time dilation occurs when there is a relative motion between two observers or when they experience different gravitational fields.
In the scenario you described, where both clocks are in the same timeframe and at rest relative to each other, they would show no difference in their measurements of time. This is because there are no relative velocities or gravitational differences to cause any time dilation effects.
Time dilation becomes significant when there is relative motion or when an observer experiences a stronger gravitational field compared to another observer. These differences in velocity or gravitational potential cause the clocks to measure time differently relative to each other. However, if both clocks are at rest in the same frame of reference, they will show no difference in time.
It's worth noting that the concept of time dilation is a fundamental prediction of special relativity and general relativity. Its effects have been observed and measured in various experiments, such as with atomic clocks on high-speed airplanes and satellites, confirming the validity of these theories.