[Show abstract][Hide abstract] ABSTRACT: We analyze the functional integral for quantum Conformal Gravity and show
that with the help of a Hubbard-Stratonovich transformation, the action can be
broken into a local quadratic-curvature theory coupled to a scalar field. A
one-loop effective action calculation reveals that strong fluctuations of the
metric field are capable of spontaneously generating a dimensionally transmuted
parameter which in the weak-field sector of the broken phase induces a
Starobinsky-type f(R)-model with a gravi-cosmological constant. A resulting
non-trivial relation between Starobinsky'sparameter and the cosmological
constant is highlighted and implications for cosmic inflation are briefly
discussed and compared with recent PLANCK and BICEP2 data.
European Physical Journal C 10/2014; 75(6). DOI:10.1140/epjc/s10052-015-3441-6 · 5.08 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We compute the corrections to the Schwarzschild metric necessary to reproduce
the Hawking temperature derived from a Generalized Uncertainty Principle (GUP),
so that the GUP deformation parameter is directly linked to the deformation of
the metric. Using this modified Schwarzschild metric, we compute corrections to
the standard General Relativistic predictions for the light deflection and
perihelion precession, both for planets in the solar system and for binary
pulsars. This analysis allows us to set bounds for the GUP deformation
parameter from well-known astronomical measurements.
European Physical Journal C 07/2014; 75(9). DOI:10.1140/epjc/s10052-015-3635-y · 5.08 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: There is a theoretical evidence that relativistically invariant quantum dynamics at (enough) large space-time scales can result from a cooperative process of two inter-correlated non-relativistic stochastic dynamics, operating at different energy scales. We show that the Euclidean transition amplitude for a relativistic particle is identical to the transition probability of a Brownian particle propagating in a granular space. We discuss the issue of the robustness of the special-relativistic quantum mechanics thus obtained under small changes in the granular-space distribution. Experimental implications for early Universe cosmology are also briefly outlined.
Journal of Physics Conference Series 03/2014; 504(1). DOI:10.1088/1742-6596/504/1/012012
[Show abstract][Hide abstract] ABSTRACT: We address the issue of (quantum) black hole formation by particle collision
in quantum physics. We start by constructing the horizon wave-function for
quantum mechanical states representing two highly boosted non-interacting
particles that collide in a one-dimensional space. From this wave-function, we
then derive a probability that the system becomes a black hole as a function of
the initial momenta and spatial separation between the particles. This
probability allows us to extend the hoop conjecture to quantum mechanics and
estimate corrections to its classical counterpart.
Physics Letters B 11/2013; 732. DOI:10.1016/j.physletb.2014.03.037 · 6.13 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: A localised particle in Quantum Mechanics is described by a wave packet in
position space, regardless of its energy. However, from the point of view of
General Relativity, if the particle's energy density exceeds a certain
threshold, it should be a black hole. In order to combine these two pictures,
we introduce a horizon wave-function determined by the particle wave-function
in position space, which eventually yields the probability that the particle is
a black hole. The existence of a minimum mass for black holes naturally
follows, albeit not in the form of a sharp value around the Planck scale, but
rather like a vanishing probability that a particle much lighter than the
Planck mass be a black hole. We also show that our construction entails an
effective Generalised Uncertainty Principle (GUP), simply obtained by adding
the uncertainties coming from the two wave-functions associated to a particle.
Finally, the decay of microscopic (quantum) black holes is also described in
agreement with what the GUP predicts.
European Physical Journal C 06/2013; 74(1). DOI:10.1140/epjc/s10052-013-2685-2 · 5.08 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We present a new theoretical evidence that a relativistically invariant
quantum dynamics at large enough space-time scales can be derived from
two inter-correlated genuinely non-relativistic stochastic processes
that operate at different energy scales. This leads to Feynman
amplitudes that are, in the Euclidean regime, identical to transition
probability of a Brownian particle propagating through a granular space.
Our observation implies a preferred frame and can have distinct
experimental signatures. Ensuing implications for special and
doubly-special relativity, quantum field theory, quantum gravity and
cosmology are discussed.
Journal of Physics Conference Series 06/2013; 442(1):2054-. DOI:10.1088/1742-6596/442/1/012054
[Show abstract][Hide abstract] ABSTRACT: We show that the special relativistic dynamics when combined with quantum mechanics and the concept of superstatistics can be interpreted as arising from two interlocked non-relativistic stochastic processes that operate at different energy scales. This interpretation leads to Feynman amplitudes that are in the Euclidean regime identical to transition probability of a Brownian particle propagating through a granular space. Some kind of spacetime granularity could be therefore held responsible for the emergence at larger scales of various symmetries. For illustration we consider also the dynamics and the propagator of a spinless relativistic particle. Implications for doubly special relativity, quantum field theory, quantum gravity and cosmology are discussed.
Foundations of Physics 05/2013; 44(5):512-522. DOI:10.1007/s10701-013-9758-9 · 1.03 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We show that the special relativistic dynamics when combined with quantum
mechanics and the concept of superstatistics can be interpreted as arising from
two interlocked non-relativistic stochastic processes that operate at different
energy scales. This interpretation leads to Feynman amplitudes that are in the
Euclidean regime identical to transition probability of a Brownian particle
propagating through a granular space. Some kind of spacetime granularity could
be held responsible for the emergence at larger scales of various symmetries.
For illustration we consider also the dynamics and the propagator of a spinless
relativistic particle. Implications for doubly special relativity, quantum
field theory, quantum gravity and cosmology are discussed.
European Physical Journal C 01/2013; 73(7). DOI:10.1140/epjc/s10052-013-2491-x · 5.08 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We study uncertainty relations as formulated in a crystal-like universe,
whose lattice spacing is of order of Planck length. For Planck energies,
the uncertainty relation for position and momenta has a lower bound
equal to zero. Connections of this result with double special
relativity, and with't Hooft's deterministic quantization proposal, are
briefly pointed out. We then apply our formulae to micro black holes,
and we derive a new mass-temperature relation for Schwarzschild (micro)
black holes. In contrast to standard results based on Heisenberg and
stringy uncertainty relations, we obtain both a finite Hawking's
temperature and a zero rest-mass remnant at the end of the micro black
hole evaporation.
[Show abstract][Hide abstract] ABSTRACT: We show how a Brownian motion on a short scale can originate a relativistic motion on scales larger than the particle's Compton wavelength. Thus, Lorentz symmetry appears to be not a primitive concept, but rather it statistically emerges when a coarse graining average over distances of order, or longer than the Compton wavelength, is taken. We also present the generalizations needed to accommodate in our scheme the doubly special relativistic dynamics. In this way, a previously unsuspected, common stochastic origin of the two frameworks is revealed for the first time. Issues such as generalized commutation relations are also discussed.
Journal of Physics Conference Series 05/2012; 361(1):012026. DOI:10.1088/1742-6596/361/1/012026
[Show abstract][Hide abstract] ABSTRACT: Using the concept known as a superstatistics path integral we show that
a Wiener process on a short spatial scale can originate a relativistic
motion on scales that are larger than particle's Compton wavelength.
Viewed in this way, special relativity is not a primitive concept, but
rather it statistically emerges when a coarse graining average over
distances of order, or longer than the Compton wavelength is taken. Here
we place a special emphasis on the modifications that are necessary to
accommodate in our scheme the doubly special relativistic dynamics. In
this way, a previously unsuspected, common statistical origin of the two
frameworks is revealed. Salient issues such as generalized commutation
relations and a connection with Feynman chessboard model are also
discussed.
International Journal of Modern Physics B 05/2012; 26(12):41003-. DOI:10.1142/S0217979212410032 · 0.94 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We consider the production of primordial micro black holes (MBH)
remnants in the early universe. These objects induce the universe to be
in a matter-dominated era before the onset of inflation. Effects of such
an epoch on the CMB power spectrum are discussed and computed both
analytically and numerically. By comparison with the latest
observational data from the WMAP collaboration, we find that our model
appears to explain the quadrupole anomaly of the CMB power spectrum.
[Show abstract][Hide abstract] ABSTRACT: Using the concept known as a superstatistics path integral we show that a Wiener process on a short spatial scale can originate a relativistic motion on scales that are larger than particle's Compton wavelength. Viewed in this way, special relativity is not a primitive concept, but rather it statistically emerges when a coarse graining average over distances of order, or longer than the Compton wavelength is taken. We also present the modifications necessary to accommodate in our scheme the doubly special relativistic dynamics. In this way, a previously unsuspected, common statistical origin of the two frameworks is revealed.
Journal of Physics Conference Series 02/2012; 343(1). DOI:10.1088/1742-6596/343/1/012048
[Show abstract][Hide abstract] ABSTRACT: In the framework of 't Hooft's "deterministic quantization" proposal, we show how to obtain from a composite system of two classical Bateman's oscillators a quantum isotonic oscillator. In a specific range of parameters, such a system can be also interpreted as a particle in an effective magnetic field, interacting through a spin-orbit interaction term. In the limit of a large separation from the interaction region, the system can be described in terms of two irreducible elementary subsystems, corresponding to two independent quantum harmonic oscillators.
Journal of Physics Conference Series 02/2012; 343(1). DOI:10.1088/1742-6596/343/1/012110
[Show abstract][Hide abstract] ABSTRACT: We formulate generalized uncertainty relations in a crystal-like
universe whose lattice spacing is of order of Planck length -- a "world
crystal". For energies near the border of the Brillouin zone, i.e., for
Planckian energies, the uncertainty relation for position and momentum
does not pose any lower bound. We apply these results to micro black
holes physics, where we derive a new mass-temperature relation for
Schwarzschild micro black holes. In contrast to standard results based
on Heisenberg and stringy uncertainty relations, our mass-temperature
formula predicts both a finite Hawking's temperature and a zero
rest-mass remnant at the end of the black hole evaporation. We also
briefly mention some connections of the world crystal paradigm with 't
Hooft's quantization and double special relativity.
[Show abstract][Hide abstract] ABSTRACT: We formulate generalized uncertainty relations in a crystal-like universe whose lattice spacing is of order of Planck length --- a "world crystal". For energies near the border of the Brillouin zone, i.e. for Planckian energies, the uncertainty relation for position and momentum does not pose any lower bound. We apply these results to micro black holes physics, where we derive a new mass-temperature relation for Schwarzschild micro black holes. In contrast to standard results based on Heisenberg and stringy uncertainty relations, our mass-temperature formula predicts both a finite Hawking's temperature and a zero rest-mass remnant at the end of the black hole evaporation.
International Journal of Modern Physics D 09/2011; 20(10):2003-2007. DOI:10.1142/S021827181102007X · 1.74 Impact Factor
[Show abstract][Hide abstract] ABSTRACT: We study uncertainty relations as formulated in a crystal-like universe, whose lattice spacing is of order of Planck length. For Planck energies, the uncertainty relation for position and momenta has a lower bound equal to zero. Connections of this result with double special relativity, and with 't Hooft's deterministic quantization proposal, are briefly pointed out. We then apply our formulae to micro black holes, and we derive a new mass-temperature relation for Schwarzschild (micro) black holes. In contrast to standard results based on Heisen-berg and stringy uncertainty relations, we obtain both a finite Hawking's temperature and a zero rest-mass remnant at the end of the micro black hole evaporation.
Journal of Physics Conference Series 07/2011; 306(1):012026. DOI:10.1088/1742-6596/306/1/012026
[Show abstract][Hide abstract] ABSTRACT: Building on our previous work [Phys.Rev.D82,085016(2010)], we show in this
paper how a Brownian motion on a short scale can originate a relativistic
motion on scales that are larger than particle's Compton wavelength. This can
be described in terms of polycrystalline vacuum. Viewed in this way, special
relativity is not a primitive concept, but rather it statistically emerges when
a coarse graining average over distances of order, or longer than the Compton
wavelength is taken. By analyzing the robustness of such a special relativity
under small variations in the polycrystalline grain-size distribution we
naturally arrive at the notion of doubly-special relativistic dynamics. In this
way, a previously unsuspected, common statistical origin of the two frameworks
is brought to light. Salient issues such as the role of gauge fixing in
emergent relativity, generalized commutation relations, Hausdorff dimensions of
representative path-integral trajectories and a connection with Feynman
chessboard model are also discussed.
[Show abstract][Hide abstract] ABSTRACT: We consider the production of primordial micro black holes (MBH) remnants in
the early universe. These objects induce the universe to be in a
matter-dominated era before the onset of inflation. Effects of such an epoch on
the CMB power spectrum are discussed and computed both analytically and
numerically. By comparison with the latest observational data from the WMAP
collaboration, we find that our model is able to explain the quadrupole anomaly
of the CMB power spectrum.