Switch to: References

Add citations

You must login to add citations.
  1. Quantization of space-time and the corresponding quantum mechanics.M. Banai - 1985 - Foundations of Physics 15 (12):1203-1245.
    An axiomatic framework for describing general space-time models is presented. Space-time models to which irreducible propositional systems belong as causal logics are quantum (q) theoretically interpretable and their event spaces are Hilbert spaces. Such aq space-time is proposed via a “canonical” quantization. As a basic assumption, the time t and the radial coordinate r of aq particle satisfy the canonical commutation relation [t,r]=±i $h =$ . The two cases will be considered simultaneously. In that case the event space is the (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • The Etherino and/or the Neutrino Hypothesis.Ruggero Maria Santilli - 2007 - Foundations of Physics 37 (4-5):670-711.
    By using a language as accessible to as broad an audience as possible, in this paper we identify serious insufficiencies of the neutrino and quark hypotheses for the synthesis of the neutrons from protons and electrons inside stars according to the familiar reaction ${{\rm p}^+ + \bar {\nu} + {\rm e}^-\rightarrow {\rm n}}$ . We introduce, apparently for the first time, the hypothesis that the energy and spin needed for the synthesis of the neutron originate either from the environment or (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark  
  • Relativistic hadronic mechanics: Nonunitary, axiom-preserving completion of relativistic quantum mechanics.Ruggero Maria Santilli - 1997 - Foundations of Physics 27 (5):625-729.
    The most majestic scientific achievement, of this century in mathematical beauty, axiomatic consistency, and experimental verifications has been special relativity with its unitary structure at the operator level, and canonical structure at the classical levels, which has turned out to be exactly valid for point particles moving in the homogenenous and isotropic vacuum (exterior dynamical problems). In recent decades a number of authors have studied nonunitary and noncanonical theories, here generally calleddeformations for the representation of broader conditions, such as extended (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Time-energy uncertainty and relativistic canonical commutation relations in quantum spacetime.Eduard Prugovečki - 1982 - Foundations of Physics 12 (6):555-564.
    It is shown that the time operatorQ 0 appearing in the realization of the RCCR's [Qμ,Pv]=−jhgμv, on Minkowski quantum spacetime is a self adjoint operator on Hilbert space of square integrable functions over Σ m =σ×v m , where σ is a timelike hyperplane. This result leads to time-energy uncertainty relations that match their space-momentum counterparts. The operators Qμ appearing in Born's metric operator in quantum spacetime emerge as internal spacetime operators for exciton states, and the condition that the metric (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   5 citations