by Daniel Ranard
Last week's Nobel prize in physics was awarded for the observation of gravitational waves, the famous ripples in spacetime. You can read about these waves first predicted by Einstein, but I want to talk about a more basic idea: that of spacetime itself. Why do physicists insist on "spacetime"—why can't we content ourselves with just space and time?
Many thinkers before Einstein pondered the connection between time and space. Medieval timeline makers must have understood the analogy between points and lengths of space, on the one hand, and instants and durations of time, on the other. It's an analogy rendered physical by the timeline itself. Still earlier, sundials mapped temporal durations to spatial intervals. In Edgar Allen Poe's book-length "Eureka: A Prose Poem," he concludes that "Space and Duration are one." But contrary to Poe, modern physicists do not contend space and time have an identical character. Indeed, the differences would appear obvious: for instance, we always move forward in time, while in space we may remain still.
Though spatial and temporal directions may differ, Einstein and his contemporaries realized they must be considered together, part of a geometrical whole. In one limited sense, space and time had already been considered together for centuries. A graphical timeline emphasizes time as a dimension; if you add a dimension of space to your timeline, you create the spacetime arena. More quantitatively, if you make a graph of an object's position over time, then the background of the graph – the two-dimensional plane, with axes of both space and time – suggests a notion of spacetime. Such graphs predate even Descartes, who's most often credited with the invention of Cartesian coordinates; Oresme and others drew similar figures long before.
Modern illustrations of spacetime take the same form: the Cartesian plane, with axes of time and space. But the modern marriage of space and time entails far more than just a nailing together of the axes. Though many thinkers drew time and space together, it was the insights of Einstein in 1905 that bound them inextricably. In fact, it was Einstein's old teacher, the mathematician Hermann Minkowski, who most clearly cast Einstein's results in the language of spacetime.
Minkowski began his 1908 lecture Space and Time by declaring that "Henceforth, space for itself, and time for itself shall completely reduce to a mere shadow, and only some sort of union of the two shall preserve independence." What could that mean? We often label the three axes of space as x,y,z, measuring width, height, and depth, while t labels time. The four dimensions of x, y, z, and t together constitute spacetime. Why put them together? That is, why does their union constitute a four-dimensional arena whose components demand joint consideration?
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