The space of general conservation laws and topology changes |
| |
Authors: | Giuseppe Basini Fulvio Bongiorno Salvatore Capozziello Giuseppe Longo |
| |
Institution: | 1.Laboratori Nazionali di Frascati,INFN,Frascati (Roma),Italy;2.Dipartimento di Matematica,Università di Roma Tre,Roma;3.Dipartimento di Fisica “E.R. Caianiello” and INFN, Sez. di Napoli,Università di Salerno,Baronissi (SA),Italy;4.Dipartimento di Scienze Fisiche,Università di Napoli “Federico II” Complesso Universitario di Monte S. Angelo,Napoli;5.Istituto Nazionale di Astrofisica,Napoli,Italy |
| |
Abstract: | We construct a 5D space in which conservation laws are always and absolutely valid. This general result holds also scaling
in 4D space even inducing, when necessary, changes of topology. The inequality of representations of physical laws in 4D and
in 5D generalized spaces is founded not on phenomenological but on mathematical results. Essentially, the mechanism is based
on the fact that we take into account also transformations where the Jacobian of the change of variables can assume null values.
We derive that stress-energy and metric tensors, due to Bianchi identities, are always conserved through the mechanism presented
in the following based on the fact that we introduce transformations with null Jacobian in the space definition. Moreover,
in the case of metric tensor, conservation is a necessary feature in order to have physically defined theories. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|