**Authors:** Sylwester Kornowski

Topology is the branch of mathematics that attempts to describe the properties changing stepwise as, for example, number of holes in objects or conductivity of thin layers. Topological phase transitions play an important role in the Scale-Symmetric Theory (SST). They describe the successive phase transitions of the Higgs field - there appear the spin-1 binary systems of closed strings responsible for the quantum entanglement and loops and tori composed of the spin-1 bosons built of fermions. The single loops or tori are the objects with one global hole whereas their components are the bi-holes. Surfaces of the tori are built of smaller binary systems of tori i.e. one-global-hole objects are built of bi-holes. But in SST, the topological phase transitions concern as well the transition from electromagnetic interactions (there is one Type of photons) to nuclear interactions (there are 8 Types of gluons). Such transition causes that there can appear composite resonances built of 8 or 8x8=64 vector bosons with total angular momentum equal to 0 or 2. The strictly defined numbers of the high-standard-deviation vector bosons (8 or 64) in the composite resonances cause that they must be the high-mass narrow resonances with low standard deviation! It leads to conclusion that we must change the statistical methods applied to the topological composite resonances. Here we described 3 groups of such resonances – the groups are associated with the mass distances between neutral and charged lightest baryons (i.e. nucleons), lightest strange mesons (i.e. kaons) and lightest mesons (i.e. pions). Obtained results are consistent with the LHC data. We predict existence of two low-standard-deviation neutral resonances (5.01 +- 0.13 TeV and 5.78 +- 0.15 TeV). There can be in existence a high-standard-deviation vector boson with a mass of 25.4 +- 0.7 GeV.

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[v1] 2016-10-27 04:32:29

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