Epstein Secrets

Lorentz invariant non-linear equations revisited" J. Nonlinear Math. Phys. 12 (2005) 449-456 [math-ph/0412005] [45] D. B. Fairlie and J. Govaerts, "Euler hierarchies and universal equations" J. Math. Phys. 33 (1992) 3543-3566 [arXiv hep-th/9204074] [46] D. B. Fairlie and J. Govaerts, "Linearisation o

uncover some subtle properties. An interesting general issue, not yet investigated, is how the semi-classical limit is modified by a change in the Hilbert space metric. In the coherent state approach to the classical limit, the symplectic 2-form associated to the classical dynamics clearly depends on t

We are also fairly sure we can form any number by adding two primes together. This is Goldbach’s Conjecture, set as a question in a letter written to Euler in 1742. It is still unproven! Euclid proved there are an infinite number of primes by using reductio ad absurdum. Imagine we have a complete list o

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

d a route across the city that crosses each bridge once and once only. You can start anywhere, but no walking halfway over a bridge and no swimming! Euler discovered a rigorous mathematical proof that there can be no solution in 1735 after five hundred years of failure by other mathematicians. The answe

r the occupants of the bus is larger than infinity. Real Numbers What about the real world we live in? Is the larger infinity we failed to fit into Hilbert’s Hotel present, or was it just a mathematical fiction? Hold up your thumb and index finger for a moment. The gap between them is a distance. Most li