On Superluminal Particles and the Extended Relativity Theories

Foundations of Physics 42 (9):1135-1152 (2012)

Superluminal particles are studied within the framework of the Extended Relativity theory in Clifford spaces (C-spaces). In the simplest scenario, it is found that it is the contribution of the Clifford scalar component π of the poly-vector-valued momentum which is responsible for the superluminal behavior in ordinary spacetime due to the fact that the effective mass $\mathcal{M} = \sqrt{ M^{2} - \pi^{2} }$ is imaginary (tachyonic). However, from the point of view of C-space, there is no superluminal (tachyonic) behavior because the true physical mass still obeys M 2>0. Therefore, there are no violations of the Clifford-extended Lorentz invariance and the extended Relativity principle in C-spaces. It is also explained why the charged muons (leptons) are subluminal while its chargeless neutrinos may admit superluminal propagation. A Born’s Reciprocal Relativity theory in Phase Spaces leads to modified dispersion relations involving both coordinates and momenta, and whose truncations furnish Lorentz-violating dispersion relations which appear in Finsler Geometry, rainbow-metrics models and Double (deformed) Special Relativity. These models also admit superluminal particles. A numerical analysis based on the recent OPERA experimental findings on alleged superluminal muon neutrinos is made. For the average muon neutrino energy of 17 GeV, we find a value for the magnitude $|\mathcal{M } | = 119.7\mbox{~MeV}$ that, coincidentally, is close to the mass of the muon m μ =105.7 MeV
Keywords Extended relativity  Clifford spaces  Finsler geometry  superluminal
Categories (categorize this paper)
DOI 10.1007/s10701-012-9659-3
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 45,305
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Clifford Space as the Arena for Physics.Matej Pavšsič - 2003 - Foundations of Physics 33 (9):1277-1306.
General Relativity with a Background Metric.Nathan Rosen - 1980 - Foundations of Physics 10 (9-10):673-704.

View all 7 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles


Added to PP index

Total views
22 ( #411,791 of 2,279,926 )

Recent downloads (6 months)
1 ( #828,945 of 2,279,926 )

How can I increase my downloads?


My notes

Sign in to use this feature