Undergrad Gravitational Effects on Age of Earth's Core

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Gravitational time dilation indicates that Earth's core is approximately 2.5 years younger than its surface due to differences in gravitational potential, not acceleration. A common misconception is that since gravitational acceleration is zero at the Earth's center, time should run faster there, making it older. However, the principle of gravitational time dilation relies on potential rather than acceleration. The discussion highlights the importance of understanding basic scientific concepts and encourages users to search forums for answers to common questions. The conversation concludes with an acknowledgment of the misunderstanding and a note on the value of community knowledge.
Freonpsandoz
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The Wikipedia page on gravitational time dilation (https://en.wikipedia.org/wiki/Gravitational_time_dilation) states:

"Relative to Earth's age in billions of years, Earth's core is effectively 2.5 years younger than its surface."

A clock subjected to less acceleration (gravitational or otherwise) runs faster, doesn't it? Isn't gravitational acceleration zero at the center of the earth? Shouldn't that make the center of the Earth older?
 
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Freonpsandoz said:
A clock subjected to less acceleration (gravitational or otherwise) runs faster, doesn't it?
No. Gravitational time dilation depends on the gravitational potential, not on acceleration.
 
Freonpsandoz said:
A clock subjected to less acceleration (gravitational or otherwise) runs faster, doesn't it? Isn't gravitational acceleration zero at the center of the earth? Shouldn't that make the center of the Earth older?

Your confusion is a common one:

https://www.physicsforums.com/threads/flat-spacetime-in-a-gravity-well.943566/#post-5970060

EDIT: by the way, this points to something you should think about. Very often it's sufficient to get an answer to such questions by just doing a forum search. You may at some point ask a question that has not been asked here before but if it's a question about basic science, that is VERY unlikely.
 
phinds said:
Your confusion is a common one:

https://www.physicsforums.com/threads/flat-spacetime-in-a-gravity-well.943566/#post-5970060

EDIT: by the way, this points to something you should think about. Very often it's sufficient to get an answer to such questions by just doing a forum search. You may at some point ask a question that has not been asked here before but if it's a question about basic science, that is VERY unlikely.
Sorry. Won't bother you guys again.
 
Freonpsandoz said:
Sorry. Won't bother you guys again.
That's an odd way to say thank you...
 
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In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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