Epstein Secrets

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

oks in commuting coordinates, (T, x`)(21, 26]. We can mention that one reason to suppose this is the physical choice is that there is a basis in the Hilbert space for a free relativistic particle in which x' and T are both sharply defined, while is there is no basis that simultaneously diagonalizes t an

(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

rse length contraction and relativity 12 3.4 A classical locality paradox 12 4 Quantum theory of a free relativistic particle 13 4.1 Bases in Hilbert space 13 4.2 Dynamics in momentum space 14 4.3 Dynamics in position space 14 4.3.1 Propagation and spreading of a wavepacket 14 4.3.2 Wa

ut to truly understand the information they convey we need to understand the logical rules governing how they can be combined. A s well as giving us Alice, the Jabberwocky, and the Cheshire Cat, Everyday conversation is fragmented and repetitive. Fortunately, now and again, we say something definitive.

ain infinity to a child they immediately ask “What's infinity plus one.” A particularly smart kid I met, Dermot, asked, “What's infinity plus three?” Hilbert’s Hotel allows us to answer this problem in a way we can visualize. HOUSE_OVERSIGHT_015872 vhylbyyy | | tt tt VAVAVAVA A MY YI | i tt tt tt tt tT

n's Beagle HOUSE_OVERSIGHT_016045 “Sometimes I've believed as many as six impossible things before breakfast.” Queen of Hearts in Lewis Carroll’s Alice “It is not the strongest of the species that survives, nor the most intelligent that survives. It is the one that is the most adaptable to change.”

disproof of P =NP @ 1.5 The Poincaré Conjecture @ —- Solved 1.6 Riemann Hypothesis °° 1.7 Yang-Mills Theory @ 1.8 Can we understand and solve all 23 Hilbert Problems ™** 1.9 Goldbach Conjecture ™ 1.10 Is mathematics fundamental to or simply a good model of our Universe? "° 1.11 Is mathematics an emergent