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The oblate flattening of the earth results in an equatorial bulge that sees the equator on average 21 kilometers further away from the center of this gravity well than the poles. There is more mass underfoot at the equator, but less acceleration.
▲You cannot develop a contemporary theory of what gravitational acceleration looks like at the center of a gravity well without considering the relative time.
''• Researchers have built an atomic clock that is more precise and accurate than any previous clock. For the first time, the clock can detect the effects of gravity predicted by the theory of general relativity at the microscopic scale.-nist.gov''
''• "A trio of researchers in Denmark has calculated the relative ages of the surface of the Earth versus its core and has found that the core is 2.5 years younger than the crust. [it's likely considerably younger than even this] During one of his famous lectures at Caltech in the 1960's, Richard Feynman remarked that due to time dilation, the Earth's core is actually younger than its crust. General relativity suggests that really big objects, like planets and stars, actually warp the fabric of spacetime, which results in a gravitational pull capable of slowing down time. Thus, an object closer to Earth's center would feel a stronger pull—a clock set near the core would run slower than one placed at the surface, which means that the material that makes up the core is actually younger than the material that makes up the crust. In this new effort, the research trio ran the math to discover the actual number involved. They found that over the course of our planet's 4.5-billion-year history, the pull of gravity causes the core to be approximately 2.5 years younger than the crust—ignoring geological processes, of course." -phys.org''
Time cannot be slower at the core and simultaneously be at zero acceleration.
In this PREM chart there is no consideration for relative time
• ''gravity depends only on the mass inside the sphere of radius r -wiki.com''
''• 9.7639 m/s2 on the Nevado Huascarán mountain in Peru (Larger radius, more mass)''
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''• 9.8337 m/s2 at the surface of the Arctic Ocean (smaller radius, less mass)''
As a thought experiment, consider the Earth, as it is with its stratified layers - a dense core with progressively less dense layers on top until you get to the crust and out into the stratified atmosphere. Now take the moon and shrink it down to the size of a softball. Retain the mass of the moon, but now it’s close to a neutron star in density. Hit pause and hold this ultra-dense object directly over the surface of the Earth
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