There are two major alternatives for violating the usual lorentz invariance at large planckian energies or momentaeither not all inertial frames in the planck regime are equivalent e. Feb 02, 2006 in a fivepagelong highly efficient paper, nosratollah jafari and ahmad shariati show that the rules of the socalled doubly special relativity dsr to transform the energymomentum vectors are nothing else than the ordinary rules of special relativity translated to awkward variables that parameterize the energy and the momentum. Status report on doubly special relativity kowalski. When einstein invented general relativity, he was aware that simultaneity is not wellde ned in special relativity, and so newtons law of gravity is no longer. The choice of symmetric composition law for deformed fourmomenta. Einstein june 30, 1905 it is known that maxwells electrodynamicsas usually understood at the present timewhen applied to moving bodies, leads to asymmetries which do. Amongst other things, this latter theory is essentially.
To be more precise, by embracing two invariant fundamental scales, the speed of light and an energy scale distinguished with planck energy, deformation of special relativity can be considered. For the man on the street, einstein and relativity are prob ably epitomized by this result. I should warn the reader that the construction of the theory of doubly. Massachusetts institute of technology department of. General relativity is beautiful, fascinating, and important for a number of reasons. Doubly special relativity as a limit of gravity springerlink. Pdf the general consensus feeling amongst researchers is that it is generally difficult to obtain a position space lorentz invariant doubly special. I honestly cant say i really knew what i was doing until about halfway through the third time.
Doubly special relativity dsr also called deformed special relativity or, by some, extraspecial relativity is a modified theory of special relativity in which there is not only an observerindependent maximum velocity the speed of light, but an observerindependent maximum energy scale and minimum length scale the planck energy and planck length. As this theory has two invariant scales, the modified form of the theory is usually called doubly special relativity dsr 35,4547. The version is based on deformation of ordinary lorentz transformations due to the special conformal transformation. New generalized uncertainty principle from the doubly special relativity. A key element of our study is an observation that removes a possible sign ambiguity for the doubly special relativity framework.
We propose version of doubly special relativity theory starting from position space. We argue that the socalled doubly special relativity dsr, recently proposed by amelinocamelia et al. Lecture notes on special relativity macquarie university. Doubly special relativity dsr also called deformed special relativity or, by some. This points directly to the idea that spacetime must be quantized in small spacetime volumes of ct p 3 and that spacetime should consist of planck nodes, i. Abstract i examine the results obtained so far in exploring the recent proposal of theories of the relativistic transformations between inertial observers that involve both an observerindependent velocity scale and an observerindependent lengthmomentum scale. In view of the importance of the issue for a consistent formulation of a dsr statistical mechanics and a dsr thermodynamics, we show that dsr models preserving the usual.
Although this formalism leads to a consistent description of the dynamics of a particle, it does not seem to give a complete description of the physics. Massachusetts institute of technology department of physics 8. But theres another place in physics where the speed of light plays a prominent role. Such a theory has been proposed by amelinocamelia as a kinematic structure which may underline quantum theory of relativity. Aew research a special theory of relativity winter 2018 5 figure 3. Re call that special relativity is based on two postulates. Students will learn the basic tenets of both theories and will discuss current issues in black hole physics, gravitational waves, and quantum gravity. In this paper we show that both these theories can be understood. However, the current popular name is doubly special relativity. Doubly special relativity and translation invariance. In particular, i discuss a dsr scenario without modification of the energymomentum dispersion relation and without the. Of course, this postulate must be implemented in such a way that the principle of relativity, i. Doubly special relativity dsr is a theory with two observerindependent scales, of velocity and mass, which is expected to replace special relativity at ultrahigh energies. Largescale nonlocality in doubly special relativity with.
What is the experimental basis of special relativity. Doubly special relativity in position space starting from the. Double special relativity theories are the relativistic theories in which the transformations between inertial observers are characterized by two observer. Kowalskiglikman, introduction to doubly special relativity, in giovanni amelinocamelia and jerzy kowalskiglikman, planck scale effects in astrophysics and cosmology, lecture notes in physics 669, springer 2005 arxiv. Phenomenology of doubly special relativity international. Modifying einsteins theory of special relativity could account for this anomaly.
Pdf application of the doubly special relativity to the dirac. This result also allows us to characterize more sharply the differences between the doubly special relativity framework and the framework o. Dsr models are realized by deforming the poincare invariance of special relativity. Feb 20, 2018 this course will give a basic introduction to einsteins special theory of relativity followed by a close reading of his classic paper on gravitation and the general theory of relativity, from 1915.
The notes are designed to be comfortable to read at this size. Pdf in this letter we generalize the dirac equation in the context of the magueijosmolin ms 1 approach to the doubly special relativity. Pdf on a new position space doubly special relativity theory. The theory of relativity usually encompasses two interrelated theories by albert einstein. Electromagnetism and relativity weve seen that maxwells equations have wave solutions which travel at the speed of light. It has been seven years since the last update of this page, and there are over. These theories contain two fundamental scalesthe speed of light and an energy usually taken to be e planck. Some of the key open issues that are being studies concern the search of other examples of dsr theories, the study of the multiparticle sector of given dsr theories, and attempts of nding a full solution of the cosmicray paradox within dsr. In my talk i would like to discuss the present status of doubly special relativity. Special relativity applies to all physical phenomena in the absence of gravity. Relativity without light there are many different deductions of the lorentzlike.
Later, einstein was able to further develop this theory, leading to what is known as the general theory of relativity. Doubly special relativity 21 march 2011, by steve nerlich the large hadron collider destined to deliver fabulous science data, but it remains uncertain if these will include. Oct 12, 2005 here i would like to describe one possibility, whose central postulate is that in spite of the fact that departures from special relativity are introduced at scales close to planck scale, one keeps unchanged the central physical message of the theory of relativity, namely the equivalence of all inertial observers. Pdf in this letter we generalize the dirac equation in the context of the magueijo smolin ms 1 approach to the doubly special relativity. Now, doubly special relativity, proposes that not only is the speed of light always the same regardless of your frame of reference, but planck units of mass and energy are also always the same. Based on the doubly special relativity we find a new type of generalized uncertainty principle gup where the coordinate remains unaltered at.
On a new p osition space doubly special relativity theory 4. Magueijo and smolin 3 present a new theory based on the idea 2 of doubly special relativity, in which the planck. If one reference frame assigns precisely the same time to two events that are at different points in space, a reference frame that is moving relative to the first will generally assign different. Dollars millions the search for relative value stocks, bonds and reit valuations are set in a realtime, continuous auction market with a high degree of information efficiency.
Documents and settingsphilip harrismy documentsteaching. Now, doubly special relativity, proposes that not only is the speed of light always the same regardless of your frame of reference, but planck units of. Introduction to doubly special relativity springerlink. The motivation for the formulation of dsr is well founded and is based on the subtle. The version is based on deformation of ordinary lorentz. All the doubly special relativity dsr models studied in literature so far involve a deformation of the energy conservation rule that forces us to release the hypothesis of the additivity of the energy for composite systems. We discuss the recent proposal of implementing doubly special relativity in configuration space by means of finsler geometry. Black hole thermodynamics under the generalized uncertainty. And are there any other testable theories out there besides the standard. I will discuss an interplay between dsr physics and mathematics of hopf algebras. Relativity both the special and general theories, quantum mechanics, and thermodynamics are the three major theories on which modern physics is based.
In particular, i discuss a dsr scenario without modification of the energy momentum dispersion relation and without the. This course will give a basic introduction to einsteins special theory of relativity followed by a close reading of his classic paper on gravitation and the general theory of relativity, from 1915. The connection between the new suggestion and some existing theories, such as doubly special relativity, is also briefly discussed. Dsr is an extension of special relativity aimed at describing kinematics of particles and fields in the regime where quantum gravity effects might become relevant. Doubly special relativity in position space starting from the conformal. Doubly special relativity as a limit of gravity core.
More recently several studies have also considered the possibility of a doubly special relativity, in which the modification of the dispersion relation emerges from a framework with both the planck scale and the speedoflight scale as characteristic scales of a 6parameter group of rotationboost symmetry transformations a deformation of. We also argue that the implementation of dsr theories does not necessarily require a deformation of the lorentz symmetry, but only of the translation invariance. These theories are being called2 \ doubly special relativity dsr theories. Doubly special relativity dsr also called deformed special relativity or, by some, extra special relativity is a modified theory of special relativity in which there is not only an observerindependent maximum velocity the speed of light, but an observerindependent maximum energy scale and minimum length scale the planck energy and planck length. There is unique deformation which does not modify rotations. Doubly special relativity dsr theory is a recently proposed theory with two observerindependent scales of velocity and mass, which is to describe a. Find materials for this course in the pages linked along the left. Ive recently been looking up alternatives to string theory sorry, im just not that much of a fan of it and found doubly special relativity which seems to be a possible waste of time. There has been a renaissance in tests of special relativity sr, in part because considerations of quantum gravity imply that sr may well be violated at appropriate scales very small distance, very high energy. General relativity explains the law of gravitation and its relation to other forces of nature. Then i show how, in the case of a field theory with curved momentum space, the hopf algebra of symmetries naturally emerges. The symmetry group is still the lorentz group, but in both cases. In an earlier reading, we proposed a new position space doubly special relativity theory that makes use of quantum fluctuations to achieve an invariant scalelength. Federal reserve, european central bank and bank of japan balance sheets in u.
Dsr is an extension of special relativity, based on two principles. Here i would like to describe one possibility, whose central postulate is that in spite of the fact that departures from special relativity are introduced at scales close to planck scale, one keeps unchanged the central physical message of the theory of relativity, namely the. Some call such theories deformed special relativity while others call them extended str e. We propose a new interpretation of doubly special relativity dsr based on the distinction between the momentum and the translation generators in its phase space realization. These principles, and their consequences constitute the special theory of relativity. I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of doubly special relativistic dsr theories with both an observerindependent highvelocity scale and an observerindependent small. Dec 10, 2007 i hope this is the correct place to post such a thread. Recently another theory of this kind has been proposed by magueijo and smolin. Doubly special hence the name doubly special relativity. According to einsteins special theory of relativity, it is impossible to say in an absolute sense that two distinct events occur at the same time if those events are separated in space. In a fivepagelong highly efficient paper, nosratollah jafari and ahmad shariati show that the rules of the socalled doubly special relativity dsr to transform the energymomentum vectors are nothing else than the ordinary rules of special relativity translated to awkward variables that parameterize the energy and the momentum.
Mar 21, 2011 now, doubly special relativity, proposes that not only is the speed of light always the same regardless of your frame of reference, but planck units of mass and energy are also always the same. On a new positionspace doublyspecial relativity theory. Amongst other things, this latter theory is essentially a theory of gravitation. We study two main examples of these theories and want to show that these theories are not the new theories of relativity, but only are re. I remember hearing about this theory called doubly special relativity a while ago, and i stumbled upon an article in one of the popular science magazines i cant remember which it was an oldish paper copy though which i think was. More recently several studies have also considered the possibility of a doubly special relativity, in which the modification of the dispersion relation emerges from a framework with both the. Emergence of special and doubly special relativity petr jizba1,2, and fabio scardigli3,4, 1fnspe, czech technical university in prague, br. Introduction to special and general relativity hub. In these notes we first discuss the postulates of dsr, and then turn to presenting arguments supporting the hypothesis that dsr can be regarded as a flat space. Smolin and magueijo have suggested another theory dsr2 12 in a paper in which they argued that any dsr transformation group must be a nonlinear realization of the lorentz.
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