## Special Relativity in Complex Space-Time. Part 5. Sketch of the Mathematical Structure of Complex Space-Time

**Authors:** Jozef Radomanski

The article compiles the existing information on complex space-time, from which a sketch of its mathematical structure can be outlined. We divided space-time into geometric and physical layers. The elements of the geometric layer are any four-vectors because, although it is an orthogonal space, it does not have a metrics. The physical layer is created by objects having energy, whose state coordinates are proper or singular paravectors, therefore it is posible to define a metrics for these objects. However, this metrics has no classic properties and it is not a pseudometric of the Minkowski space-time either, so we called it para-metrics. In the physical complex space-time the triangle inequality and the Cauchy inequality have been proved but, however, they have the opposite directions as their equivalents known from Euclidean geometry. At the end, we give a few tips on how to simplify the idea of a complex space-time.

**Comments:** 15 Pages.

**Download:** **PDF**

### Submission history

[v1] 2019-02-05 14:47:45

**Unique-IP document downloads:** 27 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary.
In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution.
Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.*

*
*