Deformations of coordinate systems of the observed body ct 0 , x 0 as a function of velocity relative to the observer ct, x.

Deformations of coordinate systems of the observed body ct 0 , x 0 as a function of velocity relative to the observer ct, x.

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The paper presents a new approach to space-time problems that is completely different from the approach used for over 100 years. The essence of the changes are two new ideas that can be treated as a complement to the theory of relativity. The first is the description of reality as a four-dimensional Euclidean space. What we observe as space-time di...

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Context 1
... also be deformed. Deformations of the time axis depending on the observer's choice for exemplary values of coordinates equal to 3, 4, and 5 are shown in Fig. 5, while a general scheme describing the deformations of space-time dimensions in the system of the body observed as a function of velocity relative to the observer's system is presented in Fig. 6. However, the problem of deformation of the coordinates of a body in motion is symmetrical for both observers, and the swapping of the observer causes deformations of the coordinates of the body previously considered an observer. Thus, if the deformation of the coordinates ct, x depends on the choice of the observer, then the problem ...
Context 2
... Minkowski's space-time is the fourth dimension of space-time, but it is a difficult concept to interpret. The flow of time can be imagined as the motion of a body along the time dimension in four-dimensional space-time. However, this "motion" depends on relative motion and on the gravitational field, which change the scale of the time dimension (Fig. 6), making it virtually impossible to unambiguously interpret the flow of time as the motion of bodies in four-dimensional reality. The lack of a precise understanding of the concept of time leads to various speculative conclusions, such as going back in time, which could theoretically occur if time as a dimension were consistently ...
Context 3
... of a particular body. In this case, the spacetime interval equation simply describes the deformation of space-time as a function of the motion of any observer of the event described by the ds value. The deformation of dimensions ensuring the conservation of the space-time interval as a function of velocity in Minkowski spacetime is shown in Fig. 6. What is important is that the Minkowski spacetime model does not provide any additional constraints or conditions for equation (9). In summary, in Minkowski space-time, the principle of conservation of space-time interval applies to the conservation of any distance in spacetime when the frame of reference ...
Context 4
... our formula describes the shape of a four-dimensional particle, we need to zero one of the dimensions to plot its shape. Let us assume that the dimension z = 0; then, the shape of our wave can be represented as in Fig. 16. The direction r here is directed along the y-axis of the observer's coordinate ...
Context 5
... to RT, the relative velocity of the particles is less than the speed of light in such a case - Fig. 21. Figure 26: In the case of two opposing beams for a sum of angles ' 1 + ' 2 equal to 90 0 , we have a case of the relative velocity of particles equal to unity. Thus, the particles move relative to each other with a speed interpreted as the speed of light. ...

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... It should be added that the velocity limitation implied by equation (12) does not imply any additional restriction on the direction of the trajectory of bodies in E4 but only results from the way the observation is carried out. This means that bodies can move along arbitrary trajectories while bodies moving along trajectories inclined to the observer's trajectory at an angle greater than or equal to 2 cannot be observed in the way we are able to observe our non-relativistic environment [3]. ...
... And in this way we get a picture of reality as Minkowski spacetime. The way of observing bodies -along directions inclined at different angles to the observer's time axis in E4 and the way of interpreting the results of these observations giving an image of Minkowski spacetime, is shown in Fig.3 [3,4]. In Fig.3b, the same distances 1 and 2 are placed on the same space axis perpendicular to the time axis of the observer's system. ...
... In the rest of the article I will address the most important problems posed by the new modelthose already solved and those still waiting to be solved. More such problems can be found in my other papers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. ...
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The description of reality as a space with the properties of Ether becomes possible if, instead of space-time dimensions, we use to describe reality a four-dimensional Euclidean space built of dimensions describing certain "universal" distances, which do not have predetermined properties of time or space distances. The interpretation of a set of specific directions in this reality as space or time dimensions is determined by the choice of a pair of bodies-the observer and the observed body. The new approach makes it possible to combine the concept of relative motion with the absolute reference system and to describe relativistic phenomena without having to accept Einstein's postulates and assume the relativity of the motion of bodies, since all these properties arise from the definition of space and the process of mutual observation. According to the new approach, the dimensions of time and space are not properties of space, but only concepts that we imagine on the basis of the process of observation of reality available to us.