71 research outputs found
Mathematics as a Supporting Tool for Technological Management
The necessity of production involving the applicability of mathematics in the management decision-making process stimulates the elaboration of this article. This approach seeks to develop under a new profile of Mathematical Science, now as another tool of technological management, while it allows to understand the diverse deductive paradigms of this knowledge of support to the administrative process. In this way, the general objective is to deal with the application of mathematics as a tool in technological management; (1), to evaluate the applicability of these tools in the management of small and medium enterprises (2), to propose a mathematical model that contributes to the innovation of the business enterprise (3). The theoretical foundation is in the Taxonomy of Bloom, prescribed for the development of abilities and cognitive attitudes of the individual. There will be no doubt that mathematical problem-solving procedures advance significantly, especially to the demands of complex solutions. The Content Analysis Method and related procedures apply to this task. As a result .... Therefore, the study of mathematical and statistical application, in addition to computer resources to identify the possible trend in the index of technological management, the present article states that mathematics as a tool has its widespread applicability within the most diverse types of technological management, regardless of their size and showing how mathematics is associated in different areas of knowledge as a trend for technological management, since it is still considered for some as a difficult element among managers
Conservation Laws in Doubly Special Relativity
Motivated by various theoretical arguments that the Planck energy (Ep - 10^19
GeV) - should herald departures from Lorentz invariance, and the possibility of
testing these expectations in the not too distant future, two so-called "Doubly
Special Relativity" theories have been suggested -- the first by
Amelino-Camelia (DSR1) and the second by Smolin and Magueijo (DSR2). These
theories contain two fundamental scales -- the speed of light and an energy
usually taken to be Ep. The symmetry group is still the Lorentz group, but in
both cases acting nonlinearly on the energy-momentum sector. Accordingly, since
energy and momentum are no longer additive quantities, finding their values for
composite systems (and hence finding the correct conservation laws) is a
nontrivial matter. Ultimately it is these possible deviations from simple
linearly realized relativistic kinematics that provide the most promising
observational signal for empirically testing these models. Various
investigations have narrowed the conservation laws down to two possibilities
per DSR theory. We derive unique exact results for the energy-momentum of
composite systems in both DSR1 and DSR2, and indicate the general strategy for
arbitrary nonlinear realizations of the Lorentz group.Comment: V2: Extensive revisions: merged with gr-qc/0205093, new author added,
references added, discussion amplified. 4 pages, revtex4; V3: Revised in
response to referee comments; no physics changes; version to appear in
Physical Review
Massive Gauge Fields and the Planck Scale
The present work is devoted to massive gauge fields in special relativity
with two fundamental constants-the velocity of light, and the Planck length, so
called doubly special relativity (DSR). The two invariant scales are accounted
for by properly modified boost parameters. Within above framework we construct
the vector potential as the (1/2,0)x(0,1/2) direct product, build the
associated field strength tensor together with the Dirac spinors and use them
to calculate various observables as functions of the Planck length.Comment: Affiliation of first author updated; Reference [13] updated; Typos in
Refs. [15], [19] correcte
Passage of Time in a Planck Scale Rooted Local Inertial Structure
It is argued that the `problem of time' in quantum gravity necessitates a
refinement of the local inertial structure of the world, demanding a
replacement of the usual Minkowski line element by a 4+2n dimensional
pseudo-Euclidean line element, with the extra 2n being the number of internal
phase space dimensions of the observed system. In the refined structure, the
inverse of the Planck time takes over the role of observer-independent
conversion factor usually played by the speed of light, which now emerges as an
invariant but derivative quantity. In the relativistic theory based on the
refined structure, energies and momenta turn out to be invariantly bounded from
above, and lengths and durations similarly bounded from below, by their
respective Planck scale values. Along the external timelike world-lines, the
theory naturally captures the `flow of time' as a genuinely structural
attribute of the world. The theory also predicts expected
deviations--suppressed quadratically by the Planck energy--from the dispersion
relations for free fields in the vacuum. The deviations from the special
relativistic Doppler shifts predicted by the theory are also suppressed
quadratically by the Planck energy. Nonetheless, in order to estimate the
precision required to distinguish the theory from special relativity, an
experiment with a binary pulsar emitting TeV range gamma-rays is considered in
the context of the predicted deviations from the second-order shifts.Comment: 17 pages; Diagram depicting "the objective flow of time" is replaced
with a much-improved diagra
Groundwater quality comparison between rural farms and riparian wells in the western Amazon, Brazil
Groundwater quality of a riparian forest is compared to wells in surrounding rural areas at UrupĂĄ River basin. Groundwater types were calcium bicarbonated at left margin and sodium chloride at right, whereas riparian wells exhibited a combination of both (sodium bicarbonate). Groundwater was mostly solute-depleted with concentrations within permissible limits for human consumption, except for nitrate. Isotopic composition suggests that inorganic carbon in UrupĂĄ River is mostly supplied by runoff instead of riparian groundwater. Hence, large pasture areas in addition to narrow riparian forest width in this watershed may have an important contribution in the chemical composition of this river.FAPESPCNPq - CT-HIDROCNPq - MilĂȘni
On reaction thresholds in doubly special relativity
Two theories of special relativity with an additional invariant scale,
"doubly special relativity" (DSR), are tested with calculations of particle
process kinematics. Using the Judes-Visser modified conservation laws,
thresholds are studied in both theories. In contrast to some linear
approximations, which allow for particle processes forbidden in special
relativity, both the Amelino-Camelia and Maguejo-Smolin frameworks allow no
additional processes. To first order, the Amelino-Camelia framework thresholds
are lowered and the Maguejo-Smolin framework thresholds may be raised or
lowered.Comment: 13 pages,v3 added comments regarding the assumption of composite
particles,minor wording changes, version to be publishe
On the definition of velocity in doubly special relativity theories
We discuss the definition of particle velocity in doubly relativity theories.
The general formula relating velocity and four-momentum of particle is given.Comment: 7 page
Comparison of relativity theories with observer-independent scales of both velocity and length/mass
We consider the two most studied proposals of relativity theories with
observer-independent scales of both velocity and length/mass: the one discussed
by Amelino-Camelia as illustrative example for the original proposal
(gr-qc/0012051) of theories with two relativistic invariants, and an
alternative more recently proposed by Magueijo and Smolin (hep-th/0112090). We
show that these two relativistic theories are much more closely connected than
it would appear on the basis of a naive analysis of their original
formulations. In particular, in spite of adopting a rather different formal
description of the deformed boost generators, they end up assigning the same
dependence of momentum on rapidity, which can be described as the core feature
of these relativistic theories. We show that this observation can be used to
clarify the concepts of particle mass, particle velocity, and
energy-momentum-conservation rules in these theories with two relativistic
invariants.Comment: 21 pages, LaTex. v2: Andrea Procaccini (contributing some results
from hia Laurea thesis) is added to the list of authors and the paper
provides further elements of comparison between DSR1 and DSR2, including the
observation that both lead to the same formula for the dependence of momentum
on rapidit
Special relativity with two invariant scales: Motivation, Fermions, Bosons, Locality, and Critique
We present a Master equation for description of fermions and bosons for
special relativities with two invariant scales, SR2, (c and lambda_P). We
introduce canonically-conjugate variables (chi^0, chi) to (epsilon, pi) of
Judes-Visser. Together, they bring in a formal element of linearity and
locality in an otherwise non-linear and non-local theory. Special relativities
with two invariant scales provide all corrections, say, to the standard model
of the high energy physics, in terms of one fundamental constant, lambda_P. It
is emphasized that spacetime of special relativities with two invariant scales
carries an intrinsic quantum-gravitational character. In an addenda, we also
comment on the physical importance of a phase factor that the whole literature
on the subject has missed and present a brief critique of SR2. In addition, we
remark that the most natural and physically viable SR2 shall require
momentum-space and spacetime to be non-commutative with the non-commutativity
determined by the spin content and C, P, and T properties of the examined
representation space. Therefore, in a physically successful SR2, the notion of
spacetime is expected to be deeply intertwined with specific properties of the
test particle.Comment: Int. J. Mod. Phys. D (in press). Extended version of a set of two
informal lectures given in "La Sapienza" (Rome, May 2001
Particle and Antiparticle sectors in DSR1 and kappa-Minkowski space-time
In this paper we explore the problem of antiparticles in DSR1 and
-Minkowski space-time following three different approaches inspired by
the Lorentz invariant case: a) the dispersion relation, b) the Dirac equation
in space-time and c) the Dirac equation in momentum space. We find that it is
possible to define a map which gives the antiparticle sector from the
negative frequency solutions of the wave equation. In -Poincar\'e, the
corresponding map is the antipodal mapping, which is different from
. The difference is related to the composition law, which is crucial
to define the multiparticle sector of the theory. This discussion permits to
show that the energy of the antiparticle in DSR is the positive root of the
dispersion relation, which is consistent with phenomenological approaches.Comment: 15 pages, no figures, some references added, typos correcte
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