I should have made clear this with a few sentence as follows:
Nevertheless, Einstein’s theory of measurement is actually not an integral part of general relativity [32]. Based on Einstein’s equivalence principle, it is found that the local distance is determined by the Euclidean-like structure that is compatible with physical measurements [33]. Thus, Einstein’s errors can be rectified.
32. C. Y. Lo, Misunderstandings Related to Einstein’s Principle of Equivalence, and Einstein’s Theoretical Errors on Measurements, Phys. Essays 18 (4), 547-560 (December, 2005).
33. C. Y. Lo, Space Contractions, Local Light Speeds, and the Question of Gauge in General Relativity, Chinese J. of Phys. (Taipei), 41 (4), 233-343 (August 2003).