  It is shown that dyad vectors on a local domain of complex-number valued
surface, when squared, form a set of four quaternion algebra units. A model of
proto-particle is built by the dyad's rotation and stretching; this
transformation violates metric properties of the surface, but the defect is
cured by a stability condition for normalization functional over an abstract
space. If the space is the physical one then the stability condition is
precisely Schrodinger equation; separated real and imaginary parts of the
condition are respectively equation of mass conservation and Hamilton-Jacoby
equation. A 3D particle (composed of the proto-particle's parts) has to be
conceived as a rotating massive point, its Lagrangian automatically becoming
that of relativistic classical particle, energy and momentum proportional to
Planck constant. In uence of a vector field onto the particle's propagation
causes automatic appearance of Pauli spin term in Schrodinger equation.
