>"So the trick is finding a way to mathematically convert a nonlinear system into a linear one. “We want to have some linear system because that’s what our to

>"So the trick is finding a way to mathematically convert a nonlinear system into a linear one. “We want to have some linear system because that’s what our toolbox has in it,” Childs said. The groups did this in two different ways. Childs’ team used Carleman linearization , an out-of-fashion mathematical technique from the 1930s, to transform nonlinear problems into an array of linear equations." [...] "It modeled any nonlinear problem as a Bose-Einstein condensate. This is a state of matter where interactions within an ultracold group of particles cause each individual particle to behave identically. Since the particles are all interconnected (PDS: You mean like a WAVE ??? <g>) , each particle’s behavior influences the rest (PDS: You mean like a WAVE ??? <g>) , feeding back to that particle in a loop characteristic of nonlinearity." [...] >“Give me your favorite nonlinear differential equation, then I’ll build you a Bose-Einstein condensate that will simulate it,” said Tobias Osborne" If you can get a Bose-Einstein condensate for a given nonlinear differential equation -- perhaps the reverse is true as well -- perhaps, for a given Bose-Einstein condensate, you can get back a nonlinear differential equation... If that's true, and if it's also true that the nonlinear differential equation can be turned back into a linear differential equation (via Carleman linearization), and if so, then you can possess a linear differential equation representing your Bose-Einstein condensate, er, wave, er, fluid equation, er, linear differential equation, er, Bose-Einstein condensate... <g> Perhaps all of these things -- are just different ways of viewing, different VIEWS -- of the same underlying physical phenomena... To quote a famous Musician(!): "We always didn't feel the same, we just saw it from a different point of VIEW..." -Bob Dylan, "Tangled Up In Blue"