  In this paper, the deformed Special Relativity, which leads to an essentially
new theoretical context of quantum mechanics, is presented. The formulation of
the theory arises from a straightforward analogy with the Special Relativity,
but its foundations are laid through the hypothesis on breakdown of the
velocity-momentum parallelism which affects onto the Einstein equivalence
principle between mass and energy of a relativistic particle. Furthermore, the
derivation is based on the technique of an eikonal equation whose
well-confirmed physical role lays the foundations of both optics and quantum
mechanics. As a result, we receive the angular deformation of Special
Relativity which clearly depicts the new deformation-based theoretical
foundations of physics, and, moreover, offers both constructive and consistent
phenomenological discussion of the theoretical issues such like imaginary mass
and formal superluminal motion predicted in Special Relativity for this case.
In the context of the relativistic theory, presence of deformation does not
break the Poincar\'{e} invariance, in particular the Lorentz symmetry, and
provides essential modifications of both bosons described through the
Klein-Gordon equation and fermions satisfying the Dirac equation. On the other
hand, on the level of discussion of quantum theory, there arises the concept of
emergent deformed space-time, wherein the presence of angular deformation
elucidates a certain new insight into the nature of spin, as well as both the
Heisenberg uncertainty principle and the Schr\"odinger wave equation.
