Albert Einstein physics |

## General relativity

Einstein’s idea that spacetime is (as stated) curved by the energy or momentum of masses reconciles Newton’s law of universal gravitation— with its instantaneous attraction or action at a distance—with Einstein’s special relativity in which the speed of light is constant in all frames of reference. Let’s say mass or energy compresses or expands the framework of the universe and curvature means that the density of space increases and the density of time decreases. Nevertheless, the shape or density of spacetime affects the behavior of mass and energy— drawing planets to orbit the sun in ellipses warped by other planets, increasing the frequencies of electromagnetic waves, bending light around stars, and allowing massive objects to suck up everything around them, including light.

## Solutions

Einstein assumed that his field equations were unsolvable. Eventually, Schwarzschild found a solution for a spherical spacetime; Friedmann and Lemaítre found solutions for expanding and contracting universes; Reissner and Nordström found a solution for spherical objects; and Kerr and Newman found a solution for massive rotating objects. The theory was generally regarded as true when maybe only three people in the world understood it.

## Moving

Moving I deliberately set myself off balance. Moments I can tell simple things are misleading. Mondays all the rules have to be rewritten. Maybe even my wife doesn’t understand me.

The common two-dimensional illustration, in which the weight of a planet is shown depressing the fabric of a sheet of space, is misleading. A ball bearing rolling on the sheet and approaching the planet would be pulled by gravity into the depression, but—wait—a planet is not pulled down by gravity, and it attracts an object in space toward its center.

Light takes longer to travel through a gravitational field, I understand, because increasing gravity is the same as increasing the density of space. Increasing gravity dilates time and increases electromagnetic frequencies; decreasing gravity compresses time and decreases electromagnetic frequencies.

Why this happens, why the shape or density of spacetime explains what we experience as gravity, to me, is still a mystery, unless gravitational acceleration occurs simply as a means of conserving energy and the weights we feel are inertial.

See also in

The book of science:Geometry—EuclidMagnetism—William GilbertGravimetry—Jean RicherPrincipia Mathematica—Isaac NewtonKater’s pendulum—Christiaan Huygens, Gaspard de Prony, Henry KaterSpecial relativity—Albert EinsteinSchwartzchild radius—Karl SchwarzschildExpanding universe—Georges Lemaître, Edwin HubbleIncompleteness theorems—Kurt GödelAntimatter—Paul Dirac, Carl David AndersonGame theory—John von Neumann, Oskar MorgensternLIGO—Richard A. Isaacson, Rainer Weiss, Kip Thorne, Barry C. BarishReadings in wikipedia: