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Concepts of relative velocity
Zbigniew Oziewicz, William S. Page
The central concept of the theory of relativity is the relativity of velocity. The velocity of a material body is not an intrinsic property of the body; it depends on a free choice…
Ternary relative velocity; astonishing conflict of the Lorentz group with relativity
Zbigniew Oziewicz
We are proving that the Lorentz boost entails the relative velocity to be ternary: ternary relative velocity is a velocity of a body with respect to an interior observer as seen by…
-permuted Frobenius Algebras
Zbigniew Oziewicz, Gregory Peter Wene
In the present paper by Frobenius algebra Y we mean a finite dimensional algebra possessing an associative and invertible (nondegenerate) form a scalar product, referred to as the…
Monoidal category of operad of graphs
Maria Ernestina Chavez Rodriguez, Zbigniew Oziewicz
Usually a name of the category is inherited from the name of objects. However more relevant for a category of objects and morphisms is an algebra of morphisms. Therefore we prefer…