Epstein Secrets

(DSR) the action of the Lorentz group on momen- tum eigenstates is deformed to preserve a maximal momentum or minimal length, supposed equal to the Planck length, to, = VO. The classical and quantum dynamics of a particle prop- agating in ti-Minkowski spacetime is discussed in order to examine an appare

31 Caroline Street North, Waterloo, Ontario N2J 2Y5, Canada July 5, 2010 Abstract In deformed or doubly special relativity (DSR) the action of the Lorentz group on momen- tum eigenstates is deformed to preserve a maximal momentum or minimal length, supposed equal to the Planck length, to, = VO. The cla

deSitter group. 7i= 4E2sinh2 — kikiet —'»a2 = 0 2Ep (20) An integration measure on momentum space, invariant under the non-linear action of the Lorentz group is defined by dw = dko A d3ke (21) 2.3 Correspondence with s-Poincare To construct the quantum theory we prefer to work with our original a

(although the idea that light might come in discrete packets had earlier been floated by the great Ludwig Boltzmann in 1877). I have come to admire Planck even more as I have learned about his life. Like Einstein, he was an unpaid lecturer and was not offered an academic position after completing his

risingly, the conventional approaches to this problem were unable to reproduce these observations. After struggling with the problem for six years, Planck presented a revolutionary proposal about radiation that agreed with observations. 2P_Glealer-StoryEverTold_Atirdd 78 12/16116 3:06 PIA EFTA002860

g the charge forward or backward, the magnet exerts a force always at right angles to the motion of the electric charge. This force, now called the Lorentz force—after 2P_Glealer-StoryEverTold_Atincld 88 12/18/18 3:06 PIA EFTA00285990 A Stitch in Time 69 Hendrik Lorentz, a physicist who came close

s about how the principle of the relativity of inertial frames can be made consistent with the existence of a minimal length scale, taken to be the Planck length, Ip[1, 2, 3]. It may also be seen as making possible a maximum momenta for an individual particle. Over the almost decade since it was first

description in Bob's frame we make a pure boost, using (6) and (7). We note that, just as in special relativity, it is completely unambiguous what Lorentz transformation to use; this is fixed by the requirement that the origin of Bob's coordinates coincide with the origin of Alice's coordinates. This