Conservation laws, consisting of the existence of quantities which do not change in time, independent
of the dynamical evolution of a system, are crucial and vital for the construction of any dynamical
system theory. The basic properties such as conservation of energy, momentum, angular momentum,
charge, isospin, or generalization thereof are fundamental and must be guaranteed by a physical
system, if it is to give a valid description of nature. One persistent objection against the concept
of superluminal entities is based on the anticipation of fast energy loss which could be incurred
under Vavilov-Cherenkov radiation, with the consequent prediction that no such particles could be
detected. Yet presently, no theoretical or experimental explication exists which justifies this claim.
Here we show, in the limit of a kinematically permissible and non-dispersive medium, that energy
conservation is feasible. Corresponding to radiation intensities from large energy-momentum transfer,
when the parameter k of the generalized linear velocity of the superluminal free spin-half field is made
sufficiently large, Cherenkov cone becomes flattened at 90o with direction of motion, bringing the
radiated energy to merge with the circulating energy flow in the wave field of the particle.
Emmanuel D. K. Gazoya
National Nuclear Research Institute (NNRI) / ARC, Ghana Atomic Energy Commission, Accra, Box LG 80, Ghana.
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