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@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
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              We discuss the consequences of higher derivative Lagrangians of the form $\\alpha_1 A_{\\mu}(x)\\dot{x}^\\mu$, $\\alpha_2 G_{\\mu}(x)\\ddot{x}^\\mu$, $\\alpha_3 B_{\\mu}(x)\\dddot{x}^\\mu$, $\\alpha_4 K_{\\mu}(x)\\ddddot{x}^\\mu$, $\\cdots$, $U_{(n)\\mu}(x)x^{(n)\\mu}$ in relativistic theory. After establishing the equations of the motion of particles in these fields, we introduce the concept of the generalized induction principle assuming the coupling between the higher fields $U_{(n),\\mu}(x),\\ n\\geq1$ with the higher currents $j^{(n)\\mu}=\\rho(x)x^{(n)\\mu}$, where $\\rho(x)$ is the spatial density of mass or of electric charge. In addition, we discuss the analogy of the field $G_\\mu(x)$ with the gravitational field and its inclusion in the general relativity framework in the last section. This letter is an invitation to reflect on a generalisation of the concept of inertia and we also discuss this problem in the last section.
            """ ;
    dct:identifier "hal-00825545" ;
    dct:issued "2026-05-10T02:39:27.134009"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-10T02:39:27.134013"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Comment on higher derivative Lagrangians in relativistic theory" ;
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    dcat:keyword "electromagnetism",
        "gravity",
        "higher-derivative-lagrangian",
        "infoeu-reposemanticspreprint",
        "physgrqcphysics-physicsgeneral-relativity-and-quantum-cosmology-gr-qc",
        "physphysphys-gen-phphysics-physicsphysics-physicsgeneral-physics-physicsgen-ph",
        "preprints-working-papers-",
        "relativity" ;
    dcat:landingPage <https://hal.science/hal-00825545> .

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    dct:issued "2026-05-10T02:39:27.135593"^^xsd:dateTime ;
    dct:modified "2026-05-10T02:39:27.125019"^^xsd:dateTime ;
    dct:title "Comment on higher derivative Lagrangians in relativistic theory" ;
    dcat:accessURL <https://hal.science/hal-00825545> .

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