N. David Mermin

Learn More
The Great Debate in 1920 at the Smith-sonian Museum of Natural History between Harlow Shapley and Heber Cur-tis concerned the size of the Milky Way and whether it constituted the entire universe or was just one of innumerable island universes, or separate galaxies. The issue was settled in 1924 when Edwin Hubble observed Cepheid variables in the An-dromeda(More)
To celebrate the 60th birthday of Charles H. Bennett I (1) publicly announce my referee reports for the original dense coding and telepor-tation papers, (2) present a very economical solution to the Bernstein-Vazirani problem that does not even hint at interference between multiple universes, and (3) describe how I inadvertently reinvented the Copen-hagen(More)
85 (1) Of the 16 general rank-4 Bravais classes, 14 have lattices that are simply the sum of a rank-3 crystallographic lattice and a one-dimensional lattice that is independently invariant under all point-group operations.* As a result, the space groups in all these cases can be trivially inferred from the Fourier-space forms of the ordinary rank-3 space(More)
The Fourier-space approach to crystal symmetry 1;2 is extended to colored quasiperiodic structures as an example of the general case of indistinguishable quasiperiodic multicomponent elds. Examples are given of 2-and 5-color space groups on the 10-fold 2-dimensional lattice. We consider a multicomponent quasiperiodic eld (r) whose components (r) could(More)
Redundancies are pointed out in the widely used extension of the crystallographic concept of Bravais class to quasiperiodic materials. Such pitfalls can be avoided by abandoning the obsolete paradigm that bases ordinary crystallography on microscopic periodicity. The broadening of ordinary crystallography to include quasiperiodic materials is accomplished(More)