Conservation laws, causality, entanglement and topology changes. A gate for a time machine

¹ Laboratori Nazionali di Frascati, INFN - Via E. Fermi, C.P. 13 I-0044 Frascati (Roma), Italy
² Dipartimento di Fisica “E. R. Caianiello” and INFN (Sezione di Napoli) Università di Salerno - I-84081 Baronissi (SA), Italy

Corresponding authors: basini@lnf.infn.it, capozziello@sa.infn.it

Received: 5 May 2003
Accepted: 20 May 2003

Abstract

The EPR paradox, showing the incompatibility between causality and quantum mechanics, leads, especially after Bell's theorem and the experiments based on it, to a deep crisis of the causality principle. A complete redefinition of the entanglement concept, based on the impossibility of violation of conservation laws and on the generalization to a 5-dimensional space, leads to the recovery of the classical and fundamental idea for the physics of causality. The absolute validity of conservation laws, induces moreover, in the cases where they would be otherwise violated, topology changes which make possible “tunneling processes” (like wormholes in astrophysics) which connect separate spacetimes. It can be shown that such a phenomenon is a-luminal, opening the door, without overcoming light speed, to a conceivable time-machine.