Special and general relativity (SR/GR) describe nature “subjectively”, that is, from the perspective of just one observer at a time (one group of observers, to be exact). Mathematically, SR/GR are correct. I show: (1) Physically, SR/GR have an issue. Despite the covariance of SR/GR, there is always just one active perspective. Because of this constraint, there is no holistic view of nature. The issue shows itself in unsolved mysteries. Still, the Lorentz factor and gravitational time dilation are correct. This is why the concepts of spacetime in SR/GR work well except for cosmology and quantum mechanics. (2) Euclidean relativity (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 cτ may be considered a fourth distance d4. All energy moves through ES at the speed c. An observer’s reality is created by projecting ES orthogonally to his proper space and to his proper time. In SR, these concepts are considered coordinate space and coordinate time. Neither their reassembly to a non-Euclidean spacetime nor the parameterization in SR/GR provides a holistic view. The scalar τ, in particular, cannot factor in an object’s 4D vector “flow of proper time” τ. The SO(4) symmetry of ES is incompatible with waves. This is fine because waves and particles are subjective concepts. A master reality (described by ER) is beyond each observer’s reality (described by SR/GR). ER solves 15 mysteries at once, such as time’s arrow, the Hubble tension, dark energy, and non-locality.
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Markolf H. Niemz (2024) studied this question.
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