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THE CONCEPTS OF SELF AND OBJECT AND TIME IN RELATIVITY

Abstract

In a non-inertial reference frame in relativity (and all real reference frames are non-inertial; special relativity is just a theoretical abstraction), synchronization by light signals based on the constancy and isotropy of the speed of light do not work. Thus, we must define synchronization by the more fundamental (and, in inertial frames, equivalent) procedure of slowly transporting a clock between two locations: I get out of my chair & travel to yours across the room and make a direct comparison of our watches. In non-inertial reference frames in relativity, I find that the concept of "synchronization" of clocks is path dependent. This means that there is no real concept of synchronization. For example, if clock B is to the north and east of A, they may appear to be synchronized if A travels first to the north, then to the east, while perhaps not if A travels first to the east then to the north. Thus, the question whether A and B "are" synchronized has no definite answer. This has an astonishing consequence for the concepts of (spatially extended) "objects," "observers," and the sense of "self." A spatially extended object (or person or "self") does not exist at what could be meaningfully construed as a single "instant" of time-what is the "now," in light of the forgoing? The concepts of "object" and "self" are interrelated in a sort of feedback loop: which is the chicken, and which is the egg? As Nietzsche said: "How much rudimentary psychology [i.e., street psychology; intuition] resides in your atom, my dear physicists!"