General Relativity Part 3: Farewell to Gravity As We Know It
Tuesday, April 25th, 2006Alexander Pope (1688-1744) wrote an epitaph for Newton:
"Nature, and Nature’s laws lay hid in night:
God said, Let Newton be! And all was light."
Sir John Squire (1884-1958), perhaps uncomfortable with Einstein’s profound thoughts, added:
"It did not last: the Devil howling ‘Ho!
Let Einstein be!’ restored the status quo."
Such was the uncomfortable shift in paradigm that followed Einstein’s theories in its heyday, and the immediate reaction to it. We shall now return to where we left off, and see how Einstein overthrew the ideas that were in place since Newton.
Previously, we have shown that acceleration and gravitational force are equivalent and indistinguishable. Locally (in a small region of space time), the principle holds. But there are exceptions and now I’m coming to it.
Put yourself back in an elevator holding 2 balls held as far as possible from each other by your hands. Also imagine that the elevator, the ball and you are now much bigger than normal (say, at least 100 times bigger?). Ok? Good. Oh, and put that elevator in orbit around the Earth.
Now, imagine the elevator coming to a complete stop as it orbits the Earth. Oh, and let go of the balls you’re holding. As you stop, you start falling straight down, towards the middle of the Earth (yes, you start floating again). As you are so much bigger now, you’ll notice something peculiar. As you fall down, every single point in the elevator falls towards a point at the very center of the Earth. Hence, the distance between the two balls decreases over time! So, there is a difference between being in a state of free float and not influenced by gravity!
However, this effect is only noticeable if you’re large enough. Here, we have seen that gravity exerts a distinct, nonlocal effect. In other words, the reference frame you are in must cover a sufficiently large region of space time for gravity’s effect to show up noticeably (you must be large enough, and some time must pass as you fall). This effect does not disappear from one reference frame to another (and enable you to distinguish whether you are in a gravitational field or not), therefore this is the true manifestation of gravity!
From Newton’s view of gravity, the aforementioned effect is due to variations in gravity, much like the stretching and squeezing of tides as there is a difference in the direction of the Newtonian gravitational force at the locations of the two balls. Furthermore, as gravitational forces are stronger towards the Earth, any solid but deformable object would be stretched vertically as it falls! These subtle effects (squeezing and stretching) are known since Newton and explain the phenomena of tides (hence called tidal forces).
So Newton says "Tidal effects result from variations in gravitational [forces]." Einstein says "Tidal effects result from gravity itself." to Einstein, gravity in the Newtonian sense does not exist, and hence there is nothing to vary.
Gravity, as we know it is now obsolete.
Then, what is the more correct view of gravity? If it is not a force, then what on earth is it?
P.S.: I realize that the introductory portions of each part I’m presenting are essentially repeats, but I know that there would some among you who would have already forgotten the points of the previous chapter. After all, if I repeat it sufficiently, it’ll eventually get into your head.
In the meantime, please bear with my laborious ‘story-telling’.
