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Extra resources for Post-Newtonian approximation of the field theory of gravitation
Without a cause-effect relationship, it does not really affect our sense of logic. However, it is important to note that in the old Newtonian way of looking at reality, there was an absolute time and there was an absolute ordering of events, whether they were of the first variety, the scream and the shattering goblet, or the second variety, the scream and the Mars landing. One of the events followed the other in that particular order 21 This is so even if there were air between the Earth and Mars to carry the sound wave!
Let us probe further into the Mars landing on the spacetime plot. e. 22 After all, even light cannot travel from Earth to Mars in 5 s! On average, it would take approximately 12 min for light to travel from Earth to Mars. We say that the Mars landing occurs outside of the light cone from Alicia’s scream. The spacetime interval squared between the scream and the Mars landing, s 2 = c2 t 2 − x 2 is a negative number because x 2 /t 2 is greater than c2 . Thus, the interval itself, the square root of a negative number, is an imaginary number.
Einstein’s Relativity without gravity is called “Special Relativity” to distinguish it from Relativity with gravity which is called “General Relativity”. In brief, General Relativity is Einstein’s theory of gravity. In what follows, we will delve into General Relativity, showing how it is the curving of spacetime in the general theory that replaces the old Newtonian idea of gravity being just another force. The essence of gravity was appreciated by the cave-men and cave-women: If you were a cave-dweller and you let go of your club, you found that it fell to the ground.
Post-Newtonian approximation of the field theory of gravitation