Extended Linear and Nonlinear Lorentz Transformations and Superluminality
Two broad scenarios for extended linear Lorentz transformations (ELTs) are modeled in Section 2 for mixing subluminal and superluminal sectors resulting in standard or deformed energy-momentum dispersions. The first scenario is elucidated in the context of four diverse realizations of a continuous f...
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Wiley
2013-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/760916 |
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| author | Dara Faroughy |
| author_facet | Dara Faroughy |
| author_sort | Dara Faroughy |
| collection | DOAJ |
| description | Two broad scenarios for extended linear Lorentz transformations (ELTs) are modeled in Section 2 for mixing subluminal and superluminal sectors resulting in standard or deformed energy-momentum dispersions. The first scenario is elucidated in the context of four diverse realizations of a continuous function
f
(
v
)
, with
0
≤
f
(
v
)
≤
1
and
f
(
0
)
=
f
(
c
)
=
1
, which is fitted in the ELT. What goes in the making of the ELT in this scenario is not the boost speed
v
, as ascertained by two inertial observers in uniform relative motion (URM), but
v
×
f
(
v
)
. The second scenario infers the preexistence of two rest-mass-dependent superluminal speeds whereby the ELTs are finite at the light speed
c
. Particle energies are evaluated in this scenario at
c
for several particles, including the neutrinos, and are auspiciously found to be below the GKZ energy cutoff and in compliance with a host of worldwide ultrahigh energy cosmic ray data. Section 3 presents two broad scenarios involving a number of novel nonlinear LTs (NLTs) featuring small Lorentz invariance violations (LIVs), as well as resurrecting the notion of simultaneity for limited spacetime events as perceived by two observers in URM. These inquiries corroborate that NLTs could be potent tools for investigating LIVs past the customary LTs. |
| format | Article |
| id | doaj-art-b5553b18d6554a258f59716d50078ab9 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-b5553b18d6554a258f59716d50078ab92025-02-03T05:58:44ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/760916760916Extended Linear and Nonlinear Lorentz Transformations and SuperluminalityDara Faroughy0Department of Sciences, Pima College, West Campus, Tucson, AZ 85709, USATwo broad scenarios for extended linear Lorentz transformations (ELTs) are modeled in Section 2 for mixing subluminal and superluminal sectors resulting in standard or deformed energy-momentum dispersions. The first scenario is elucidated in the context of four diverse realizations of a continuous function f ( v ) , with 0 ≤ f ( v ) ≤ 1 and f ( 0 ) = f ( c ) = 1 , which is fitted in the ELT. What goes in the making of the ELT in this scenario is not the boost speed v , as ascertained by two inertial observers in uniform relative motion (URM), but v × f ( v ) . The second scenario infers the preexistence of two rest-mass-dependent superluminal speeds whereby the ELTs are finite at the light speed c . Particle energies are evaluated in this scenario at c for several particles, including the neutrinos, and are auspiciously found to be below the GKZ energy cutoff and in compliance with a host of worldwide ultrahigh energy cosmic ray data. Section 3 presents two broad scenarios involving a number of novel nonlinear LTs (NLTs) featuring small Lorentz invariance violations (LIVs), as well as resurrecting the notion of simultaneity for limited spacetime events as perceived by two observers in URM. These inquiries corroborate that NLTs could be potent tools for investigating LIVs past the customary LTs.http://dx.doi.org/10.1155/2013/760916 |
| spellingShingle | Dara Faroughy Extended Linear and Nonlinear Lorentz Transformations and Superluminality Advances in High Energy Physics |
| title | Extended Linear and Nonlinear Lorentz Transformations and Superluminality |
| title_full | Extended Linear and Nonlinear Lorentz Transformations and Superluminality |
| title_fullStr | Extended Linear and Nonlinear Lorentz Transformations and Superluminality |
| title_full_unstemmed | Extended Linear and Nonlinear Lorentz Transformations and Superluminality |
| title_short | Extended Linear and Nonlinear Lorentz Transformations and Superluminality |
| title_sort | extended linear and nonlinear lorentz transformations and superluminality |
| url | http://dx.doi.org/10.1155/2013/760916 |
| work_keys_str_mv | AT darafaroughy extendedlinearandnonlinearlorentztransformationsandsuperluminality |