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It is shown that in the case of spontaneous breaking of the original gaugesymmetry, a dynamic rearrangement of vacuum may lead to the formation of someanisotropic condensates. The appearance of such condensates causes therespective phase transitions in the geometric structure of space-time andcreates a flat anisotropic, i.e. Finslerian event space. Actually there ariseseither a flat relativistically-invariant Finslerian space with partially broken3D isotropy, i.e. axially-symmetric space, or a flat relativistically-invariantFinslerian space with entirely broken 3D isotropy. The fact that any entirelyanisotropic relativistically-invariant Finslerian event space belongs to a3-parameter family of such spaces gives rise to a fine structure of therespective geometric phase transitions. In the present work the fine structureof the geometric phase transitions is studied by classifying all the metricstates of the entirely anisotropic event space and the respective mass shellequations.

Dynamic rearrangement of vacuum and the phase transitions in the geometric structure of space-time