As civilizations grow and mature, if humanity so far is anything to go by, they require a lot more energy to sustain ...

are slightly closer to each other as a result of this relativistic contraction. This means it takes slightly less energy, ...

And, of course, Einstein isn't finished. Later in 1905 comes an extension of special relativity in which Einstein proves that energy and matter are linked in the most famous relationship in ...

Thanks to Galilean relativity it should be just as hard to run on an inclined treadmill as it is to run on a hill of the same incline. But you don't gain gravitational potential ener ...

Special relativity and Lorentz transformations; Scalar and electromagnetic fields; Curved spacetime and the metric tensor; The equivalence principle; Geodesics, covariant derivatives, and Killing ...