Another issue is the half way equivalences of the equivalence principle.   Einstein’s equivalence principle states that the effects on objects in a gravitational field are equivalent to those in a non-inertial system such as an accelerating rocket.  This statements has implicit the assumption that gravitational mass is equivalent to inertial mass, which has been demonstrated to a large degree of certainty.  Let’s just say that is hard to visualize how

space-time is warped inside an accelerating rocket as in Figure 1 above; while the space outside the rocket remains flat.   Does it look something the illustration to the left? Gravitational fields also induce time dilation effects.  A search for experimental data verifying time dilation in accelerating fields found no empirical data; and the theoretical explanations are confusing, with some claiming acceleration time dilations (for explaining the twin paradox for example) and others completely ignore the concept.  An experiment

was conducted by the author to verify time dilations due to acceleration; this is documented in Appendix A.  The experiment was not successful, but it was later determined that there is ample evidence for determining time dilation effects due to acceleration; this is discussed in section 2.5.

The second part of the principle states that objects in free fall in a gravitational field (where they are being accelerated towards a massive object) have effects that are equivalent to objects moving at constant velocity away from gravitational fields.  These objects with gravitationally induced accelerated motion do not perceive being accelerated.  The equivalence principle does not account for time dilation effects due to the gravitational field that are not present in inertial systems away from gravitational fields, or for Special Relativity time dilation effects that get greater as the speed increases.

  While the two parts have some similarities, they are hardly equivalent.