Abstract
A quantum mechanical formulation of the fundamental law of Nature without using the space-time co-ordinates is presented. Matter is composed of various kinds of particles, each kind of which has the co-ordinate spaces characterized by the intrinsic quantities (m, Σ< of the particle. (The co-ordinate space characterized by the massm is the four dimensional momentum space of the particles of massm). Probability amplitudes are functionals of the numbers of particles specified by their kind (m, Σ) and co-ordinates. Phenomena are the transitions between the particles. The causality principle in our theory is the principle of the existence of theW-matrix. The elementWj means the probability of finding the statei in the observation O1 of the observable Ω1, and then the statej in the observation O2 of the observable Ω2, when we observe the system characterized by an operator ℋ ; andW has the formW=C(O1;O2)W[ℋ,Ω1,Ω2], whereW is the matrix determined by ℋ and Ω2, andC is the undetermined quantity independent from ℋ,Ω1 and Ω2. From this causality principle, we introduceT(p ) using an idealp-meson clock. Then the undetermined C(O1, O2) is expressed asC(O1,O2) = (2π/Ħ)T(p ) with a universal constant Ħ which has a dimension of [energy]·[T]. The formulation is described keeping the relation to the current theory as close as possible.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
