“My earliest memories are of CP4 — that's a Kähler manifold that looks locally like a vector space with four complex directions, though the global topology's quite different. But I didn't really grow up there; I was moved around a lot when I was young, to keep my perceptions flexible. I only used to spend time in anything remotely like this" — he motioned at the surrounding more-or-less-Euclidean space — for certain special kinds of physics problems. And even most Newtonian mechanics is easier to grasp in a symplectic manifold; having a separate visible coordinate for the position and momentum of every degree of freedom makes things much clearer than when you cram everything together in a single three-dimensional space.”

“It was almost noon when the plane touched down at the Triad airport on the outskirts of Greensboro. There was a hire car waiting for me; I waved my notepad at the dashboard to transmit my profile, then waited as the seating and controls rearranged themselves slightly, piezoelectric actuators humming. As I started to reverse out of the parking bay, the stereo began a soothing improvisation, flashing up a deadpan title: Music for Leaving Airports 11 June 2008.”

“Fleshers used to spin fantasies about aliens arriving to ‘conquer’ Earth, to steal their ‘precious’ physical resources, to wipe them out for fear of ‘competition’…as if a species capable of making the journey wouldn’t have had the power, or the wit, or the imagination, to rid itself of obsolete biological imperatives. Conquering the Galaxy is what bacteria with spaceships would do – knowing no better, having no choice.”

“I looked down at the city. Its extravagance felt wasteful, like gushing oil or some other precious thing Bennie was hoarding for himself, using it up so no one else could get any. I thought: if I had a view like this to look down on every day, I would have the energy and inspiration to conquer the world. The trouble is, when you most need such a view, no one gives it to you.”

“Mathematics catalogues everything that is not self-contradictory; within that vast inventory, physics is an island of structures rich enough to contain their own beholders.”

“If I had a view like this to look down on every day, I would have the energy and inspiration to conquer the world. The trouble is, when you most need such a view, no one gives it to you.”

“He blinked in the gloom. He was wearing heavy black trousers and a waistcoat over a stiff white shirt. His exoself, having chosen an obsession which would have been meaningless in a world of advanced computers, had dressed him for the part of a Victorian naturalist.The drawers, he knew, were full of beetles. Hundreds of thousands of beetles. He was free, now, to do nothing with his time but study them, sketch them, annotate them, classify them: specimen by specimen, species by species, decade after decade. The prospect was so blissful that he almost keeled over with joy.”