Epstein Secrets

(37), directions perpendicular to the direction of the boost can con- tract. This gives rise to an apparent paradox. Consider two inertial observers, Alice and Bob, who are approaching each other along their i axes, each of whom carries a stick along their x axis. Sup- pose that by (37) Alice sees Bob's

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

ertial reference frame which can be assumed to be at rest on the Earth and to have its origin situated at a detector on the Earth. We will call this Alice's 3 EFTA_R1_01441394 EFTA02403005 frame of reference. Long ago and far away there was a gamma ray burst. In it there was an event, E, where an

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

. But the cos- mos doesn't care about our sensibilities. And once again, light provided the key to the door of the rabbit hole to a world that makes Alice's expe- riences seem tame. While they may be strange, the connections unearthed by Einstein and Minkowski can be intuitively understood—given the c

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