IJPAM: Volume 20, No. 4 (2005)
PF 1533, D-86818 Bad Woerishofen, GERMANY
e-mail: [email protected]
Abstract.In studying the four basic interactions, I found that gluons (the carrier of the strong interaction SI) and gravitons (gravity GR) can be used as superpositions of color charges in a simulation, similar to magnetic field quantums, photons and electrical charges in electricity and the electromagnetic interaction EMI. The fourth weak interaction WI occurs in decay processes of atomic kernels. Every elementary particle-system is treated as a real 6-dimensional Gleason-operator (self-adjoint, positive, bounded of the trace-class with trace 1) on a complex 3-dimensional space , where in superpositions the quantum mechanical non-commutative measuring process between two operators carries both Einstein's special and general relativistic Minkowski- and Schwarzschild-metrics. The (physical) systems are assumed as superpositions of Gleason-operators on . Real 3-dimensional projections and functions are given with additional projective transversal sections in . This approach unifies the four interactions.
Received: April 19, 2005
AMS Subject Classification: 81Q99, 83C99
Key Words and Phrases: interactions, operators, relativity, symmetries
Source: International Journal of Pure and Applied Mathematics