The modification of the quantum mechanical commutators in a relativistic theory with an invariant length scale dsr is identified. Special relativity will it survive the next 101 years. 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. Just like it turned out to be necessary, in order to describe highvelocity particles, to set aside galilei relativity with its lack of any characteristic. 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.
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. And an additional source of confusion originates from the fact that in the literature, already before the proposal of the doublyspecial relativity idea, there was a research programme named deformed special relativity see e. The detection of cosmic rays with unexpectedly high energies has prompted a rethink of einsteins theory of special relativity. D82, 0850162010 we introduced a method for obtaining the exact feynman propagator of a relativistic particle for both kleingordon and dirac case from a superstatistical average over nonrelativistic singleparticle. Special relativity in its minkowski spacetime is accurate only when the absolute value of the gravitational potential is much less than c 2 in the region of interest.
In particular, in a very recent paper 9, reporting interesting results on fermions and bosons in dsr, it was argued that the lesscompact name \ special relativity with two invariant scales could be preferable. 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. Mar 19, 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. It is the purpose of this book to provide an introduction to the special theory of relativity which is accessible to any stu dent who has had an introduction to general physics and some slight acquaintance with the calculus. Note on uncertainty relations in doubly special relativity and rainbow gravity. 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. Much of the material is at a level suitable for high school students who have had advanced placement in physics and. Pdf on a new position space doubly special relativity theory.
Emergence of special and doubly special relativity from. 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. It has been seven years since the last update of this page, and there are over. Pdf the emergence of special and doubly special relativity. 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. 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.
With doubly special relativity one looks for a transition in the relativity postulates, which should be largely analogous to the galilei. Notes on special relativity pdf 78p this note covers the following topics. In this paper, the relation between the modified lorenz boosts, proposed in the doubly relativity theories and a linear combination of conformal group generators in r 1,d1 is investigated. In a strong gravitational field, one must use general relativity. Phenomenology of doubly special relativity international. 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. Look up special relativity in wiktionary, the free dictionary. In this way, a previously unsuspected, common statistical origin of the two frameworks is brought to light. 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. General relativity becomes special relativity at the limit of a weak field. Quantum gravity special relativity planck scale quantum algebra.
Doubly special relativity dsr also called deformed special relativity or, by some. Pdf doubly special relativity and translation invariance. A new formulation, called doubly special relativity, might be the. And are there any other testable theories out there besides the standard. In physics, special relativity is the generally accepted and experimentally confirmed physical. Professor susskind takes a close look at the special theory of relativity and also at classical field theory.
In many different ways, deformed special relativity dsr has been argued to. Find materials for this course in the pages linked along the left. Doubly special relativity and translation invariance. The introduction of a new generator is proposed in order to deform the conformal group to achieve the connection conjectured. 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. 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. Introduction to doubly special relativity springerlink. Doubly special relativity dsr theory is a recently proposed theory with two observerindependent scales of velocity and mass, which is to describe a kinematic structure underlining the theory.
Conformal generators and doubly special relativity theories. What is the experimental basis of special relativity. This course introduces the basic ideas and equations of einsteins special theory of relativity. Pdf the general consensus feeling amongst researchers is that it is generally difficult to obtain a position space lorentz invariant doubly. Albert einstein 5 preface december, 1916 the present book is intended, as far as possible, to give an exact insight into the theory of relativity to those readers who, from a. Introduction to special relativity free online course materials. Pdf application of the doubly special relativity to the dirac. General relativity is beautiful, fascinating, and important for a number of reasons. Albert einstein 5 preface december, 1916 the present book is intended, as far as possible, to give an exact insight into the theory of relativity to those readers who, from a general scientific and philosophical point of view. All equations and effects of special relativity can be derived from this rotational symmetry the poincare group of minkowski spacetime. Frames of reference and newtons laws, the speed of light, michelsonmorley experiment, special relativity, the lorentz transformations, time dilation, adding velocities. Pdf in this letter we generalize the dirac equation in the context of. 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.
Introduction to tensor calculus for general relativity. 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. Note on uncertainty relations in doubly special relativity. The third key idea is that mass as well as mass and momentum. Basically, special relativity can be stated as the invariance of any spacetime interval that is the 4d distance between any two events when viewed from any inertial reference frame. This is einsteins famous strong equivalence principle and it makes general relativity an extension of special relativity to a curved spacetime. Knuteson wishes to acknowledge that this course was originally designed and taught by prof. For the man on the street, einstein and relativity are prob ably epitomized by this result. My proposal 1,2 of the doublyspecialrelativity scenario intended to. Of course, the name \ doubly special relativity was not the only possible choice. Doubly special relativity as a limit of gravity springerlink.
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