Lorentz transformations for whole electromagnetic fields

Chauca, J.; Doria, R. M.; Soares, W.

doi:10.1063/1.4756983

Cited by 3 publications

(3 citation statements)

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“…Lorentz's scalars and conserved charges are obtained. EM invariants are obtained under Lorentz transformations [81]. Diverse scalars are build up through combinations between fields strengths as F 2 µν , F µν U µν , F µν e µν and so on.…”

Section: Invariantsmentioning

confidence: 99%

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Electric Charge transfer by Four Vector Bosons

Doria¹,

Mendes²

2022

Preprint

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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.

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Section: Invariantsmentioning

confidence: 99%

“…( 1) Lagrangian receives 205 free coefficients. A number is enough to adjust the field's strengths without losing gauge invariance [81]. Prescribe granular and collective fields strengths with gauge invariant properties.…”

Section: A Appendix Fields Strengths Gauge Symmetrymentioning

confidence: 99%

Electric Charge transfer by Four Vector Bosons

Doria¹,

Mendes²

2022

Preprint

Self Cite

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show abstract

“…Proposing granular and collective EM fields (collective fields identified with polarization and magnetization vectors), nonlinearity, and potential fields interacting with EM fields. Equations preserving rotational and translation symmetries [28] and covariant under A ′ µI = Λ ν µ A νI where Λ ν µ is the Lorentz transformation matrix [29].…”

Section: Euler-lagrange and Bianchi Equationsmentioning

confidence: 99%

Four-Four Maxwell Equations

Doria¹,

Mendes²

2022

Preprint

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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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A New Model for a Non-Linear Electromagnetic Model with Self-Interacting Photons

Doria

Helayël²,

Chaichian³

et al. 2015

JAP

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A new electromagnetism is still expected to be developed. Thus, under such a principlewhere nature works as a group, an electromagnetism beyond Maxwell is studied. It considersthat light metric antecedes electric charge for founding the EM phenomena. Based on wholenessprinciple, Lorentz group and gauge invariance this electromagnetism sticked on light is proposed.Then, by electromagnetism it will be understood the physics derived from Lorentz group potentialfields family (for simplicity other fields are not included). New electromagnetic fields,sectors, layers and regimes are developed. It yields a branch with transversal and longitudinalEM fields, granular and collective sectors, I-fields layers and four regimes (photonic, massive,neutral, charged) connected through a global photon. Their relationships are determined by astate equation identified as Global Maxwell equation. It contains new Gauss and Ampere laws,exclusive Faraday law for polarization and magnetization vectors, divergenceless magnetizationvector having fields as sources, self-interacting photons mediated by a dimensionless couplingconstant and other features. It is complemented by a Global Lorentz equation which besidesthe usual Lorentz force add forces depending on mass and on potential fields.

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Lorentz transformations for whole electromagnetic fields

Cited by 3 publications

References 0 publications

Electric Charge transfer by Four Vector Bosons

Electric Charge transfer by Four Vector Bosons

Four-Four Maxwell Equations

A New Model for a Non-Linear Electromagnetic Model with Self-Interacting Photons

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