Summary
Discussing Einstein’s criteria of unified theory of physical fields it is suggested that the second criterium : « Neither the field equations nor the Hamiltonian function can be expressed as a sum of several invariant parts, but are formally unified entities » should be replaced by the weaker one : «Neither the field equations nor the Hamiltonian function can be expressed as the sum of several invariant parts which have an individual geometrical meaning » and Einstein’s criteria should be completed by the following: «From the field equations of a (non-linear) unified field theory the correct equations of motion must be deduced ».
Riassunto
Discutendo i criteri di Einstein per una teoria unificata dei campi, l’autore suggerisce di sostituire al secondo criterio: «Nè le equazioni di campo nè l’hamiltoniana si possono esprimere come somma di invarianti, ma sono entità formalmente unificate », il più debole enunciate: «Nè le equazioni di campo ne l’hamiltoniana si possono esprimere come somma di invarianti aventi individualmente un significato geometrico » e i criteri di Einstein dovrebbero essere completati dal seguente: «Dalle equazioni di campo di una teoria unificata (non lineare) debbono potersi dedurre le corrette equazioni di moto ».
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Horváth, J.I. Contributions to the unified theory of physical fields. Nuovo Cim 4, 577–581 (1956). https://doi.org/10.1007/BF02745382
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DOI: https://doi.org/10.1007/BF02745382