## Discrete scalar fields and general relativity |

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action amount of scalar approximation assured Brasileiro de Pesquisas Centro Brasileiro charge world line consequence constraint continuous field continuous formalism defined with support densely packed density of interaction Dirac delta function discrete interactions discrete scalar field discrete set discussed in paper double hypercone effectiveness of mathematics Einstein tensor energy tensor fibre field defined field equations fields and sources four-vector four-velocity fundamental field fundamental interactions fundamental scalar field g^v of eq gravitational interaction Green's function hyperplane implies interaction points Kronecker delta Lagrangian LHS of eq lightcone Lorentz scalar Lorentz symmetry M. M. de Souza mass term massless fields measuring apparatus Minkowski spacetime necessarily number of point physical meaning physical object point charges point sources point-like poor of structure propagating proper-time Publicações Rua Dr relativity replace scalar charge scalar source set of point speed of light String theory tangent traceless vacuum solution wave equation Wigner's Xavier Sigaud