Number asymmetry of inner space of non-crystalline materials

Paper proposes expansion of the model internal space of non-crystalline materials by number asymmetry - pairing Euclidean space R with fractal p -adic Zp in a self-dual space-time. This is a formal expression of the universal pair of forces in Nature - attraction and repulsion, which generates complimentary processes of energy and entropy. We check compliance with this duality basic facts and issues of material science. It appears that this model allows to prove the existence of 5-fold symmetry, closely connected with Fibonacci numbers in the theory of quasi-crystals, exotic symmetries and supply modeling task in the spirit of the theory of systems - synthesizing physico-chemical processes of different nature and formal models of non-reducible languages. On this basis we consider new version of thermodynamics with duality - a conjugation its energetic and entropic representations. The formalization of the concept of divisibility of matter as a particular degree of freedom allows to formalize concepts of entropy, heat, temperature and to classify all materials via four types of permitted motions of particles. These formal analogs are invariant under change of number of particles and their size, which is important from the standpoint of nanoscience. The possibility of incorporating the structure of space as a separate non-local, non-physical geometrical parameter is shown. A given holographic representation of the inner space of matter suggests further development in a logically coherent model. Comments: 26 pages. PACS numbers: 02.10.De; 81.00.00.