- #1
RandallB
- 1,550
- 0
I’m interested in how the rate of time compares in different locations of “deep” gravity fields.
With GR we are good with the idea that a clock on the Moon runs faster than a clock on Earth. Here we’re looking only at GR the effects of acceleration/gravity. We can directly measure the acceleration affecting time in those locations in the Measurement of Gravity by simply weighing a known mass - simple.
But, suppose we place clocks and measuring devices at intervals in a drilling through the center of the Earth. We will see the measured weight (force of gravity) go to zero at the center! What does this mean for the gravity field and the impact the rate of time as you approach the center?
I see to alternatives:
1) Gravity goes to Zero the curve of space time turns back to the same shape as deep space, so time at the center of Earth actually runs faster than time on the moon's surface!
2) Although the measurable gravitational force has gone to zero, I’ll call it the “local mass density” around the clock continues to increase as it near's the center, thus the maximum reduction in the rate of time will be found at the center along with max curve in space time.
I sure hope it’s #2 because #1 just gets to weird. The questions are:
A) Do the GR formulas account for this and which one does it reflect 1 or 2?
B) Has someone done a test to verify which is correct? A deep mine experiment confirming the lower weight of a mass (smaller gravity), yet time tested as running even slower than on the surface?
Randall B
With GR we are good with the idea that a clock on the Moon runs faster than a clock on Earth. Here we’re looking only at GR the effects of acceleration/gravity. We can directly measure the acceleration affecting time in those locations in the Measurement of Gravity by simply weighing a known mass - simple.
But, suppose we place clocks and measuring devices at intervals in a drilling through the center of the Earth. We will see the measured weight (force of gravity) go to zero at the center! What does this mean for the gravity field and the impact the rate of time as you approach the center?
I see to alternatives:
1) Gravity goes to Zero the curve of space time turns back to the same shape as deep space, so time at the center of Earth actually runs faster than time on the moon's surface!
2) Although the measurable gravitational force has gone to zero, I’ll call it the “local mass density” around the clock continues to increase as it near's the center, thus the maximum reduction in the rate of time will be found at the center along with max curve in space time.
I sure hope it’s #2 because #1 just gets to weird. The questions are:
A) Do the GR formulas account for this and which one does it reflect 1 or 2?
B) Has someone done a test to verify which is correct? A deep mine experiment confirming the lower weight of a mass (smaller gravity), yet time tested as running even slower than on the surface?
Randall B