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.
Basini, G., Bongiorno, F., Capozziello, S., Longo, G. (2004). THE SPACE OF GENERAL CONSERVATION LAW AND TOPOLOGY CHANGES. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO.
THE SPACE OF GENERAL CONSERVATION LAW AND TOPOLOGY CHANGES
BONGIORNO, Fulvio;
2004-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
