preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202207.0399.v58 (registering DOI)

Preprint Article Version 58 This version is not peer-reviewed

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Special and general relativity (SR/GR) describe nature “subjectively”, that is, from the perspective of just one observer at a time (one class of observers, to be exact). Mathematically, SR/GR are correct. I show: (1) Physically, SR/GR have an issue. There is always just one active perspective—despite the Lorentz covariance of SR, the general covariance of GR, and coordinate-free formulations. This is a fact because SR/GR do not consider a unique 4D vector “flow of proper time” τ for each object. The vector is only disclosed by Euclidean relativity (ER). Because of this constraint, SR/GR lack a holistic view of nature. The issue shows itself in mysteries. Some mysteries (time’s arrow, Hubble tension) are solved by ER. Other mysteries (accelerating expansion of space, entanglement) require concepts (dark energy, non-locality) that are obsolete in ER. Still, SR/GR work well for observers because the Lorentz factor and gravitational time dilation are correct. (2) ER describes nature “objectively”, that is, from the perspectives of all objects at once. An object’s (!) proper space d₁, d₂, d₃ and proper time τ span 4D Euclidean spacetime (ES), where d₁, d₂, d₃ and d₄ = cτ are treated the same. ER provides a holistic view because ES is absolute. An observer’s reality is created by projecting ES orthogonally to his proper space and to his proper time. The SO(4) symmetry of ES is incompatible with waves. This is fine because waves and particles are subjective concepts construed by observers. I conclude: The master reality ES (described by ER) is beyond each observer’s reality (described by SR/GR).

time; cosmology; Hubble tension; dark energy; quantum mechanics; non-locality

Physical Sciences, Theoretical Physics

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