Time dilation on the surface of the sun

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SUMMARY

The discussion centers on the concept of gravitational time dilation on the surface of the Sun compared to the Earth. It is established that a clock on the Sun's surface accumulates approximately 66.4 fewer seconds per year compared to a distant observer's clock, while a clock on Earth accumulates about 0.0219 fewer seconds in the same timeframe. The effects of Earth's rotation and its position in the Sun's gravitational field also contribute to time dilation, accounting for an additional ~0.469 seconds over a year. This analysis confirms that while time dilation exists, its effects are relatively small.

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Andrew Wright
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Hi,

I am wondering. Is it possible to predict the amount of time dilation on the surface of the sun compared to the surface of the earth? Is this a correct question to ask, or have I made a bad assumption?

Thanks in advance.

Ayjay
 
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What is your frame of reference?
If you are standing on the surface of the Earth there is no time dilation locally, and if you could stand on the surface of the Sun there would be no time dilation locally there either.

Time dilation is what an observer in one frame sees happening to another object which is either traveling near light speed in relation to the observer, or otherwise it's in a very strong gravitational field which the observer is not in.

As seen from Earth and object on the surface of the Sun is in a relatively strong gravitational field, however I doubt that it's strong enough to cause a noticeable time dilation effect.
I'll leave it to the math gurus here to work out the exact figure but I'd guess it would be very small.
 
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Andrew Wright said:
I am wondering. Is it possible to predict the amount of time dilation on the surface of the sun compared to the surface of the earth? Is this a correct question to ask, or have I made a bad assumption?

Sure.

https://en.wikipedia.org/wiki/Gravitational_time_dilation
 
So, what would the age difference be for say a twin on Earth and a twin who spent their life (shielded) on the surface of the sun? Say they met up again after 70 years on earth?
 
droppedImage.png
 
To illustrate then, without accounting for the effects of rotation, proximity to the Earth's gravitational well will cause a clock on the planet's surface to accumulate around 0.0219 fewer seconds over a period of one year than would a distant observer's clock. In comparison, a clock on the surface of the sun will accumulate around 66.4 fewer seconds in one year.https://en.wikipedia.org/wiki/Gravitational_time_dilation
 
thanks :)
 
15characters said:
without accounting for the effects of rotation,

There's nothing wrong with 15Characters's reply, but OP should be aware that the rotational effects are also noticeable at the scale that we're working with here.
 
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Nugatory said:
There's nothing wrong with 15Characters's reply, but OP should be aware that the rotational effects are also noticeable at the scale that we're working with here.

For example, for that far off observer, Earth's position in the Sun's gravitational field and orbital speed alone accounts for ~0.469 sec over a year.
 
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