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4. The existence of time speed

In a gravitational field, it has been theorized and proven by the theory of relativity that time slows down. Therefore, if you place a series of clocks vertically in the gravitational field above the earth, they will beat slower, if close to the surface, and beat faster away from earth(4.a). From that, one can infer that there is a time speed gradient in a gravitational field.(4.b)

fig 4.1 earth gravitational field and time speed gradient