A new candidate for cold dark matter arises from a novel elementary particle model: the almost-commutative AC-geometrical framework. Two heavy leptons are added to the standard model, each one sharing a double opposite electric charge and an own lepton flavour number. The novel mathematical theory of almost-commutative geometry (Connes 1994 Noncommutative Geometry (London: Academic)) wishes to unify gauge models with gravity. In this scenario two new heavy (mL ⩾ 100 GeV), oppositely double charged leptons (A,C), (A with charge −2 and C with charge +2), are born with no twin quark companions. The model naturally involves a new U(1) gauge interaction, possessed only by the AC-leptons and providing a Coulomb-like attraction between them. AC-leptons posses electro-magnetic as well as Z-boson interaction and, according to the charge chosen for the new U(1) gauge interaction, a new ‘invisible light’ interaction. Their final cosmic relics are bounded into ‘neutral’ stable atoms (AC) forming the mysterious cold dark matter, in the spirit of the Glashow's Sinister model. An (AC) state is reached in the early Universe along a tail of a few secondary frozen exotic components. They should be here now somehow hidden in the surrounding matter. The two main secondary manifest relics are C2+ (mostly hidden in a neutral (C2+e−e−) ‘anomalous helium’ atom, at a 10−8 ratio) and a corresponding ‘ion’ A2− bounded with an ordinary helium ion (4He)2+; indeed the positive helium ions are able to attract and capture the free A2− fixing them into a neutral relic cage that has nuclear interaction (4He2+A2−). The cage preserves the leptons to later recombine with neutral (C2+e−e−) into (AC) evanescent states. In early and late cosmic stages (AC) gas is leading to cold dark matter gravity seeds. It can form dense cores inside dense matter bodies (stars and planets). Binding (C2+e−e−) + (4He2+A2−) into (AC) atoms results in a steady decrease of the anomalous isotopes and a growing concentration of AC-gas. However the (AHe) influence on big bang nucleo-synthesis and catalysis of nuclear transformations in terrestrial matter appears to be a serious problem for the model. Moreover the zero lepton OLe-helium (AHe), (C2+e−e−) pollution and its on-going (AHe) catalysis in terrestrial waters may release frequent tens MeV gamma photons whose pair production leads to nearly aligned electron pairs; their consequent expected presence by twin Cherenkov rings poses a crucial test to the model. Their total absence in Super-Kamiokande or SNO records might point to the failure of the model, while their eventual discovery (above the background) may hint to the double charge AC-model to solve the cold dark matter puzzle. The new invisible light attraction allows us to stimulate the effective A–C recombination into (AC) atoms inside dense matter bodies (stars and planets), resulting in a decrease of anomalous isotopes below the experimental upper limits. OLe-helium pollution of terrestrial matter and (OHe) catalysis of nuclear reactions in it is one of the dramatic problems (or exciting advantages?) of the present model.
Read full abstract