Hello, dear readers! This topic was started by me over 20 years ago. Some work was received in different periods of time that I have tried to collect in a single system under the title — "single space". The name chosen by chance, because the module or length of the global vector of velocity, which it describes, will always be equal to one. By the way, there immediately follows a global law of conservation of energy.

On the basis of the world and the Copenhagen interpretation of quantum mechanics [1-2], here we will differentiate two types of spaces: the real and the real. Real as the familiar space with three dimensions, velocities, accelerations and masses, which is one of the possible manifestations of actual space. Valid — differs in that it can contain more scenarios and is multidimensional. In it there are all the amazing effects we can observe in our real-space reflections or projections. To move from actual space in real you can use one of the properties of the global vector convolution.

The concept of a global velocity vector lies in the constancy of its length (modulus) which is always equal to the speed of light. From here immediately follows that the massless energy of the geometric points are always the same and equal to the square of the speed of light. This is consistent with our reality and automatically sets a global law of conservation of energy for the whole present further hypotheses. Based on this concept, also, is the convolution of the global vector for our 4-dimensional space-time (example).

The advantage of hypothesis of a unit space is the absence of imaginary coordinates or angles that are required in classical relativistic theory. However, this does not prevent to obtain the same results while using only simple and clear steps of vector algebra, and often, even to dispense with the use of differentiation and integration (example).

One of the unusual conclusions that follows from the hypothesis proposed here is that acceleration, as a physical quantity, is also multidimensional, which means the possibility of its redistribution between vectors of different spaces. In practice, this means the emergence of devices that can redistribute the acceleration force. For example, with such a device, any vehicle can stop or accelerate almost instantly without causing any harm to its crew.

Despite the fact that the ideas were received in random order I have arranged them sequentially as possible :). In this order I would recommend you to study this subject: the substance of the section.