Reality is objective.
Our perception of reality is subjective.
At first I wasn't sure how to explain to you what I thought was wrong with an objective reality, but now I feel like I have some input.
Imagine you are floating in space. You look towards the Earth's surface with a telescope and see a millisecond clock ticking slower than your millisecond clock. An observer that can see your clock from Earth will see your clock running faster.
Objectively speaking, which clock has the correct time? Of course there is no answer.
There is a basic problem. Unter- is making arguments based on common everyday experiences. Relativity describes effects that are outside our everyday experience. They are not intuitive.
Test 1:
Assume you and a friend try an experiment. He rides his motorcycle toward you at 10 mph and you throw a ball toward him at 20 mph. You will both see the ball approaching him at 30 mph.
Now he rides away from you at 10 mph and you throw the ball toward him at 20 mph. You will both see the ball approaching at 10 mph.
That is our normal everyday experience.
Test 2: (replace the friend on a motorcycle with you on a satellite and the tossed ball with light from the sun)
Assume you are orbiting the Earth at 17,000 mph. As you cross the Earth’s orbital path approaching the sun you measure the speed of light from the sun and find it to be 670,616,629 mph.
Now as you cross the Earth’s orbital path going away from the sun you measure the speed of light from the sun again and find it to be 670,616,629 mph.
There was 34,000 mph difference in the measurements relative to the sun. Why didn’t you see that difference in the measured speed of the sun’s light like you did with the ball and motorcycle in the first test?
This was Einstein’s question. After years of consideration and mathematical analysis, the only solution he could find was that time and space was relative to his velocity vector with respect to the source of the light. Time slows and distance shrinks with velocity… relativity.
Since his paper was published there have been many experiments verifying not only that time and space are relative to velocity but much more.