A general theory of electric charge is proposed. It is based on two phenomenologies. Electric charge mutation and conservation law. Three charges {+, −, 0} transformations physics succeeds. Quantum field theory underlies corresponding creations and annihilation. A potential field's quadruplet is ruled. Microscopic electromagnetism is processed by four vectors bosons intermediations.The electromagnetism closure is accomplished. The quadrupletµ } completeness introduces the most generic EM energy flux between electric charges. Charge mutation includes that besides usual photon, EM phenomena is enlarged by massive and charged photons. Charge conservation associates these four vector fields. Electric charge symmetry, extends EM for an abelian symmetry U Q ≡ U (1) × SO(2) global . A new EM Lagrangian beyond Maxwell results. A symmetry equation for electric charge is established through Noether theorem.The electric charge transfer physics extends the EM phenomenon. Nonlinear Electromagnetic fields modified electric charge symmetry, new EM regimes. Potential fields become a physical entity producing conglomerates, collective fields, mass, sources, charges, monopoles, forces. EM features ruled from an extended electric charge abelian symmetry. Systemic, nonlinear, neutral, spintronics, photonics, electroweak EM regimes are constituted.
Electromagnetism is the energy originating from an electric charge. Our purpose is to enlarge Maxwell. Include the charge transfer phenomenology. A four bosons electromagnetism is derived. An EM completeness is achieved. The charge's set {+, 0, −} is intermediated by a quadruplet {A µ , U µ , V ± µ }. They are the usual photon A µ , massive photon U µ and charged photons V ± µ . A new electric charge symmetry arises. It is ruled by an extended abelian symmetry U q ≡ U (1) × SO(2) global . It generates a Lagrangian and three distinct Noether equations. An EM beyond charge-based emerges. Similarly, as mass is related to Newton laws, electric charge corresponds to the symmetry equation. Its associativity is more than being a coupling constant. It holds a field's flux.Maxwell is expanded. Ampère, Faraday, and Gauss laws are improved. Nonlinear granular and collective fields strengths were introduced. Potential fields are explicit. Polarization and magnetization vectors from first principles. New induced Faraday laws. Monopoles depend on fields. Spin-1 and spin-0 sectors separated covariants.The quadruplet completeness encodes a new EM energy. A journey from Maxwell to photonics is expressed. Seven EM integrated regimes are coursed. Maxwell, systemic, nonlinear, neutral, spintronics, electroweak, photonics. A new relationship for colliding light-light and light-matter appears. Selfinteracting photons are introduced.
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