Tuesday, August 25, 2009

Kates Playground O'face

A single photon against discrete spacetime

The Lorentz invariance is a fundamental pillar of string theory. Action based on the area of \u200b\u200bthe world sheet of the string (the Nambu-Goto action) is invariant under Lorentz transformations, as one can read the first chapters of any introduction to the theory. This is a fundamental symmetry which can be broken dynamically, spontaneous, but its validity as a fundamental symmetry is at the root of the theory. However, a single photon has revolutionized the world of theoretical physics these days in a paper published by the collaboration of the telescope Fermi (formerly GLAST):


Testing Einstein's special relativity with Fermi's short hard gamma-ray burst Authors
GRB090510: Fermi GBM / LAT Collaborations

Abstract: Gamma-ray bursts (GRBs) Are The Most Powerful explosions in the universe and probe physics under extreme conditions. GRBs divided Into two classes, of short and long duration, thought to Originate from Different types of progenitor systems. The physics of gamma-ray emission Their is still Poorly Known, over 40 years after their discovery, but may be probed by their highest-energy photons. Here we report the first detection of high-energy emission from a short GRB with measured redshift, GRB 090510, using the Fermi Gamma-ray Space Telescope. We detect for the first time a GRB prompt spectrum with a significant deviation from the Band function. This can be interpreted as two distinct spectral components, which challenge the prevailing gamma-ray emission mechanism: synchrotron - synchrotron self-Compton. The detection of a 31 GeV photon during the first second sets the highest lower limit on a GRB outflow Lorentz factor, of >1200, suggesting that the outflows powering short GRBs are at least as highly relativistic as those powering long GRBs. Even more importantly, this photon sets limits on a possible linear energy dependence of the propagation speed of photons (Lorentz-invariance violation) Requiring for the first time a quantum-gravity mass scale Significantly Above the Planck mass.


This means that the photon in question meets a very accurate hf / c = p, the dispersion relation imposed by special relativity based on the Lorentz symmetry. There are theories with discrete space-times that predict deviations from this dispersion relation to the Planck scale. These theories should begin to be questioned in front of this result. Lubos Motl vehemently defends this position on her blog and discusses the experimental refutation theories like loop quantum gravity or dynamic triangulations and in turn the confirmation of string theory:

Friday, August 14, 2009

Best Prosumer Camcorder Fall 2010

Myths and legends: the big-rip and the fate of the universe

A special feature of big-rip is being produced by a perfect fluid state parameter less than -1, often called phantom power, and leads to an asymptotic evolution of the scale factor so that this becomes infinite in finite time.

is important to note that this process, in contrast to the evolution caused by dark energy with greater than or equal than -1 and less than -1 / 3, not lead to a heat death. Intuitively we might think it this way: if the expansion is even stronger than dark energy or cosmological constant for example, then, bringing these to a heat death, the big-rip with even more reason to take a heat death.

The problem is that this argument based on the dilution of energy density is only valid for the ordinary energy, but not for the phantom energy. On the contrary, the energy density of phantom energy increases with time, leading to what is known as the big-rip singularity (an energy density infinite).

This is easily seen if one considers that the local energy conservation for a perfect fluid we obtain the known equation



To less than -1 is clear that will increase as increases and will be infinite when is infinite. More details on the properties of dark energy in the famous role of Caldwell:

A Phantom Menace? Cosmological Consequences of a dark energy component with super-negative equation of state

Wednesday, August 5, 2009

Guy Wearing Jockstrap

Mediatrices and circumcenter

OUTSTANDING POINTS IN A TRIANGLE. are called salient points of the triangle to the points of intersection of the heights, the bisectors of the bisectors and medians, respectively.
The study one by one.





Remember that bisector of is the line segment perpendicular to it by its midpoint.
Before proceeding let us review the ownership of the bisector of a segment.


PROPERTY Mediatrix
All points belonging to the bisector of a segment are equidistant from the ends of it.
In the figure below appears a segment AB and its perpendicular bisector. Move point P belonging to the perpendicular to investigate different positions.


















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Each side of the triangle, as a segment, will have its corresponding bisector. This means that in a triangle can be drawn 3 bisectors.
If we consider a triangle ABC, and draw the bisectors of its three sides, we see that the three bisectors intersect at one point. That point is called
circumcenter of the triangle.


















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circumcenter PROPERTY
Using the property that is the bisector of a segment one can prove the property is the circumcenter of a triangle.

Use the slider i called the picture below to see the show.


















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