Authors: D. Chakalov
Introduction to the atemporal Platonic world ‘It’, emerging from sub-photon spacetime vacuum. To reveal the atemporal Platonic world, called here ‘It’, I postulate new topology, structure, and dynamics of every dimensionless geometric point -- “that which has no part”, Euclid. Instead of adding new ‘ideal points’ to spacetime, I suggest Platonic structure of all points in spacetime: the apex of Minkowski cone is believed to possess non-trivial topology, structure, and dynamics due to the Heraclitean flow of events. The latter is modeled with an axis W that is “orthogonal” to 4D spacetime, and is “raised” at null intervals. I will briefly mention the implications to Quantum Theory and will focus on two unsolved issues in General Relativity: (i) the coupling of geometry to matter and (ii) the definition of spacetime “at infinity”, which is condicio sine qua non for understanding the positivity mass conjecture viz. the non-trivial localization of gravitational energy in the first issue (i). Once we accept the premise that geometry can act on matter, “telling it how to move” (John Wheeler), we face the century-old problem with the origin of gravitational energy: on the one hand, it must not be identical to that of matter and fields in the right-hand side at Einstein field equations (EFE), but on the other -- only matter can act on matter. The problem is still unsolved, even since the efforts by Gunnar Nordstrøm in 1914, and I am happy to report its unique solution, based on the atemporal Platonic world ‘It’.
Comments: 7 Pages. Two drawings added and typos corrected. Final version.
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