Imprints of Discrete Space Time - A Brief Note

We point out that the observed decay mode of the pion and the Kaon decay puzzle are really imprints of discrete micro space-time. In recent years ideas of discrete space time have been revived through the work of several scholars and by the author within the context of Kerr-Newman Black Hole type formulation of the electron[1]-[5]. Further, even more recently this has been considered in the context of a stochastic underpinning[6, 7]. Let us now consider two of the imprints that such discrete space time would have. First we consider the case of the neutral pion. Within the framework of the Kerr-Newman metric type formulation referred to above, it is possible to recover the usual picture of a pion as a quark-anti quark bound state [8, 9], though equally well we could think of it as an electron-positron bound state also[4, 10]. In this case we have, mv 2 r = e 2 r 2 (1) Consistently with the above formulation, if we take v = c from (1) we get the correct Compton wavelength l π = r of the pion. However this appears to go against the fact that there would be pair annihilation with the release of two photons. However if we consider discrete space time, the situation would be different. In this case the Schrodinger equation Hψ = Eψ (2)