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Today’s concepts of space and time trace back to Albert Einstein’s theories of relativity. In special relativity, he derives relations of how a “moving observer” experiences space and time with respect to an “observer at rest”. In general relativity, he derives relations of how mass and energy are affecting space and time. Both theories have been very successful, but fail to solve fundamental mysteries such as competing values of the Hubble constant, dark energy, the wave–particle duality, and quantum entanglement. Here we show that this failure is due to prioritizing a “system at rest”: In Einstein’s relativity, there is no superordinate reference frame that would treat objects at rest and moving objects alike. We replace Minkowski spacetime with Euclidean spacetime (ES) and claim that reality is formed by projecting ES to 3D space. Alternative models of Euclidean relativity run into geometric paradoxes as they claim reality to be in ES. Our theory profits from two new concepts: “distance” (space and time in one) and “wavematter” (electromagnetic wave packet and matter in one). In Cartesian ES coordinates, it is not predefined for all objects alike which axial distance relates to time. Time is a subordinate quantity: covered distance divided by the speed of light. Wavematter is a generalized concept of energy: Each object is wave from an external view, but matter from its internal view. Length contraction, time dilation, acceleration, and gravitation are geometric effects. We even derive a Theory of Everything in ES. Matching the symmetry simplifies physics.

We introduce two symmetric concepts to physics: “distance” (space and time in one) and “wavematter” (electromagnetic wave packet and matter in one). We claim that physics has chosen the wrong concept of time: It is not aware that the time of a moving object flows in a direction other than my time. We provide 15 proofs for our claim by solving 15 mysteries of physics graphically! For example, we prove that length contraction and time dilation are actually geometrical effects in a 4D manifold that we call “Euclidean spacetime” (ES). We prove that the discrepancy in calculating the Hubble constant stems from a systematic error in the redshift measurement. We prove that what I deem wave, deems itself matter, which solves wave–particle duality. We even untangle quantum entanglement without the issue of non-locality. We finally understand why alternative theories of Euclidean relativity have failed: They are all based on four dimensions of space rather than distance. A huge amount of energy was injected into ES at a point that we take as origin. Ever since has this energy been moving radially away at the speed of light. We live in the 3D hypersurface of an expanding 4D hypersphere. Hyperspherical coordinates have the great advantage that they reduce all that is ever happening to just one formula. So, it is the Theory of Everything in these coordinates: “Energy is covering radial distance which, divided by Euclidean time, is equal to the speed of light.” Acceleration and force like gravitation emerge from a rotation of objects in ES and a subsequent projection to 3D space. Matching the symmetry simplifies physics.