Compositeness of Photons and its Implications
It is suggested that the photon may be taken as a composite state of a neutrino-antineutrino pair when the composite character is described by the vanishing of the wave-function renormalisation constant and the nonvanishing of a certain composite coupling constant. There must be two different kinds of neutrinos, one associated with left circular polarization and another with right circular polarization. In this formalism these polarizations would have to transform into one another under inversion and, therefore, correspond to the same representation of the Lorentz group. To construct a photon of spin 1, we shall need neutrinos of both helicities. The two neutrinos associated with a single photon are both either β-neutrinos (νL) or μ-neutrinos (νR); it is impossible to say which without reference to the vacuum state. The field representing neutrinos would have to be quantized in accordance with the parastatistics to allow the existence of neutrinos in the same dynamical state. The neutrinos (νL, νR) transform into one another under inversion and therefore correspond to the same representation of the full Lorentz group. In the above formalism neutrinos are of opposite spin and thus neutrinos are parafermions (satisfying parastatistics of order 2). Therefore, the neutrino theory of light can be reformulated without rotational invariance. In this formalism the photon may oscillate between a left-handed and a right-handed photon. It is expected that the system of photons interacts differently at very low, intermediate and very high photon densities. Thus it is expected that at very high photon densities the usual form E = hν may not be valid. Implications of the above photonic structure will be discussed in connection with the anomalous photoelectric effect, wave-particle duality, replication of photons, superluminal transmission etc. Considering the composite coupling constant of the photon we will discuss the possibility of a stochastic interpretation of quantum mechanics.
KeywordsGauge Transformation Majorana Neutrino Composite State Photon Mass Photon System
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