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What is the significance of the conservation of electric charge Q?

Abstract : Conservation of electric charge Q is a universal law in the sense that it should be conserved in any interaction, known or yet unknown. However Q should not be considered as a simple number but as the half sum of two irreducible quantities BAL= A-L (A is the baryonic number and L is the leptonic number) and total flavour TF. Conservation of electric charge implies obviously conservation of Q (considered as a simple number) but also BAL and TF. We verify that electromagnetism and strong interaction which conserve Q, A and L and all individual flavours conserve obviously BAL and TF; likely weak interaction which conserves Q, A and L conserves also BAL and TF. However conservation of BAL does not imply necessarily conservation of A and L. In effect ∃BAL=0 has another solution ∃A=∃L= 1 which points to a possible solution to explain how a material and neutral universe could arise evolving from A=0 L=0 Q=0 state to A>0 Q=0 state through a process which would conserve BAL and TF without conserving separately A and L.
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Submitted on : Thursday, October 26, 2006 - 4:16:52 PM
Last modification on : Thursday, November 19, 2020 - 12:58:27 PM
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U.C. Tsan. What is the significance of the conservation of electric charge Q?. International Journal of Modern Physics E, World Scientific Publishing, 2007, 16, pp.1585-1601. ⟨10.1142/S0218301307006952⟩. ⟨in2p3-00110165⟩



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