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Discuss the three models of spacetime. Aristotelian spacetime. Galilean spacetime. Einstein’s spacetime. “ The test of a first-rate intelligence is the ability to hold two opposing ideas in mind at the same time and still retain the ability to function. ” —F. Scott Fitzgerald.
Minkowski space-time (or just Minkowski space) is a 4 dimensional pseudo-Euclidean space of event-vectors (t, x, y, z) specifying events at time t and spatial position at x, y, z as seen by an observer assumed to be at (0, 0, 0, 0). The space has an indefinite metric form depending on the velocity of light c:
4.1 From space and time to spacetime. The Lorentz transformation shows us that the invariance of c requires space and time to be mixed together; what is \space" for one observer is a mixture of \space" and \time" for another.
a geometric spacetime approach, where the di erences between Newtonian physics and relativity are encoded into the geometry of how space and time are modeled. I believe that understanding the di erences in the underlying geometries gives a
Two ways spacetimes can differ: Different ways of specifying distances between points yield different types of spacetimes. Classical spacetimeshave separatespatial and temporal metrics: only one way to split time from space (spatial and temporal distances are absolute).
We begin by listing the key assumptions about spacetime in Newtonian physics and then proceed by replacing these assumptions with the postulates of special relativity. 1.1 Newtonian Physics
1.1: Three Models of Spacetime Time and space together make spacetime, the stage on which physics is played out. Until 1905, physicists were trained to accept two mutually contradictory theories of spacetime.
