Red Queen's race

"Well, in our country," said Alice, still panting a little, "you'd generally get to somewhere else—if you run very fast for a long time, as we've been doing."
"A slow sort of country!" said the Queen. "Now, here, you see, it takes all the running you can do, to keep in the same place. If you want to get somewhere else, you must run at least twice as fast as that!"

• In evolutionary biology, to illustrate that sexual reproduction and the resulting genetic recombination may be just enough to allow individuals of a certain species to adapt to changes in their environment—see Red Queen hypothesis.
• As an illustration of the relativistic effect that nothing can ever reach the speed of light, or the invariant speed; in particular, with respect to relativistic effect on light from galaxies near the edge of the expanding observable universe, or at the event horizon of a black hole.
• Isaac Asimov used it in his short story "The Red Queen's Race" to illustrate the concept of predestination paradox.
• In environmental sociology, to illustrate Allan Schnaiberg's concept of the Treadmill of Production where actors are perpetually driven to accumulate capital and expand the market in an effort to maintain relative economic and social position.
• Vernor Vinge uses it in his novel Rainbows End to illustrate the struggle between encouraging technological advancement and protecting the world from new weapons technologies.