Author(s): Jerzy K Filus
Complex Euclidean C3 model for “para-space”, as an alternative to the real Minkowski’s M4 space-time model for special relativity (SR) was introduced. As it turned out, in the SR theory of the complex model, velocities can be defined with no use of time and so time (no more the primitive notion!) can be defined within the theory of 3-D complex model.
The complex C3 model, initially thought of as the model for special relativity (SR), turned out to possess deep unifying properties as being able to model both SR and classical Newtonian mechanics. The latter classic theory of the C3 model can also be extended to arbitrary high, but finite, speeds while the “Galilean speed of light” turns out to be infinite. The latter property clearly explains the universality of speed of light phenomenon. This became possible since all the SR phenomena one recovers from the unobserved complex Newtonian simply by taking real parts from underlying complex (para)physical quantities. This unifying property of the theory of the complex model, hypothetically, can be extended also to quantum mechanics so that all the three mechanics can, possibly, be unified as one theory of the complex C3 para-space model. Besides the unifying properties, use of this complex model dramatically simplifies the underlying physical theories especially (if this hypothesis is true) the quantum mechanics. The related to this complex approach ontological problems of existence of the unobserved physical objects and phenomena in C3 – R3 were addressed in the Appendix.
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