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"It's hard to imagine that the substance is divisible again and again infinitely, but no less difficult to imagine, that such divisibility with necessity have the end". Kant's antinomy  All physical theories are built under some restrictions. Our report on how to expand the classical mechanics, when you delete some of its limitations.  In according to the formalism of classical mechanics, the dynamics of systems are reversible. However, in the nature all processes are irreversible. It is one of the great contradiction between physics and reality, because the classical mechanics, anyway, forms the foundation for all branches of physics.  The classical mechanics was constructed on the basis of the bodies model in the form of the material points (МP). Only for these idealization the Newton's laws is valid. Basing on the Newton's motion equation for MP, the Lagrange and Hamilton formalisms for the systems dynamics were created. But all bodies in the nature are the non-equilibrium systems which in motion in the space. Their dynamics are determined by the interaction of the system parts between each other and its interaction with the space. So there are two type of symmetry which the systems dynamics are determined: the internal bodies symmetry and the space symmetry. We will call it as " a Principle of dualism of the symmetry " (PDS). Thus only for the systems but not for structureless bodies, the PDS can be take into account. But only using the PDS, to construct the dissipative mechanics is possible. This report is about as the classical mechanics expands based on the PDS and by replacing of MP on the structured particles (SP) where SP is equilibrium system from a great number of potentially interacting MP.

Limitation of classical mechanics and ways it’s expansion