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Killing symmetries of deformed relativity in five dimensions
No full textThis is the first of two papers devoted to investigating the main mathematical
aspects of the Kaluza-Klein-like scheme known as Deformed Relativity in five dimensions (DR5).
It is based on a five-dimensional Riemannian space in which the four-dimensional space-time
metric is deformed (i.e. it depends on the energy) and energy plays the role of the fifth
dimension. After a brief survey of the physical and mathematical foundations of DR5, we discuss
in detail the Killing symmetries of the theory. In particular, we consider the case of physical
relevance in which the metric coefficients are power functions of the energy (Power Ansatz). In
order to solve the related Killing equations, we introduce a simplifying hypothesis of functional
independence (Υ hypothesis). The explicit expressions of the Killing vectors for the energydependent
metrics corresponding to the four fundamental interactions (electromagnetic, weak,
strong and gravitational) are derived. A preliminary discussion of the infinitesimal-algebraic
structure of the Killing symmetries of DR5 is also given
“Killing symmetries of generalized Minkowski spaces, 3: Space-time translations in four dimensions”
No full text“Boosts in an arbitrary direction and maximal causal velocities in a Deformed Minkowski Space”
No full textGeodesics of deformed relativity in five dimensions
No full textIn a previous paper, we discussed the Killing symmetries of the Kaluza-Klein-like
scheme known as Deformed Relativity in five dimensions (DR5), based on a five-dimensional
Riemannian space 5 in which the four-dimensional space-time metric is deformed (i.e. it
depends on the energy) and energy plays the role of the fifth dimension. In the present paper,
we carry on the investigation of the main mathematical aspects of DR5 by studying the geodesic
motions in 5. In particular, we consider the case of physical relevance in which the metric
coefficients are power functions of the energy (Power Ansatz). The geodesic equations are solved
explicitly for all the twelve 5-d. metrics obtained as solutions of the vacuum Einstein equations,
and in particular for those describing the four fundamental interactions. It is also shown that
it is possible, from the geodesic motion related to one of these Power-Ansatz solutions, to get a
time-energy uncertainty relation of the Heisenberg type
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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