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New method of quantization is presented. It is based on classical Newton-Lagrange equations of motion (representing the fundamental physical law of mechanics) rather than on their traditional Lagrangian and/or Hamiltonian precursors. It is shown that classical dynamics is governed by canonical two-form $\Omega$, which embodies kinetic energy and forces acting within the system. New type of variational principle employing differential two-form $\Omega$ and "umbilical strings" is introduced. Thedoi:10.1142/s0219887810004865 fatcat:4nmo6noa3ndn3eqf7jfmng2z2m