This Post Is Part Of The Einstein Is Da Man Sub-Thread
(it is also quite long)
ga - I think we may be having a little language problem. From your website I think your from Germany. Was ist los? (if I remember (doubtful) the little German I used to know that means ''What''s happening!''). So let me see if I get you right. When you say ''most time passes'' you are saying ''more time passes'', i.e. the person experiencing ''most time passing'' is having time past faster than say a stationary observer. I will quote and then try to resay what you wrote so we can make sure we are on the same polygon.
Secondly, its been awhile since I almost went astrophysics instead of computers in college so my thinking is a bit rough on this subject.
Now to your last 2 posts.
ga wrote:
-milo, people in orbit are "freely falling": The acceleration results of the curvature of the space-time. And on freely falling systems most time passes.-
-and-
ga wrote:
-In special relativity there are inertial systems, in general relativity they''re substituted by freely falling systems. So you''re nearly in free fall when you jump out of the window. And theorie of relativity says that most time passes on freely falling systems relative to not freely falling ones. So you''ll stay younger not jumping out of the window. You can''t determine if you''re in free fall or if there''s no gravitation field and you''re not accelerating, excepts with the tidal forces.-
For clarity I will now try to restate both of these.
Is the following what you are saying in the first quote?
Objects in orbit are in free fall. The object''s acceleration is a product of the space-time continuum. Objects in free fall are travelling forward in time faster (relativistically) than a stationary object.
Is the following the main idea you are saying in the second quote?
Objects in free fall are moving forward in time faster than objects not in free fall. If you throw one object out a window and it free falls to the ground it will be older than an object that you did not throw out the window. The state of object being in free fall is indistinguishable from an envrionment with no gravity and not acclerating due to its own power except by measuring tidal forces on the object.
A quote from a paper published in 1907 by Da Man himself.
"... we shall therefore assume the complete physical equivalence of a gravitational field and the corresponding acceleration of the reference frame. This assumption extends the principle of relativity to the case of uniformly accelerated motion of the reference frame."
We can all agree with that, can''t we?
And now the thought problem.
Imagine our universe empty of all matter except for 3 objects.
Object 1 is a very large black hole.
Object 2 is 1 million of a highly fissionable material
orbiting the black hole at 1 million miles.
Object 3 is 1 million atoms of the same highly fissionable material orbiting the black hole at 10 million miles.
The fissionable material has a half-life of 30.000 years. As atoms of the fissionable material decay they become a copy of all data in the universe compressed by kieren_j''s algorithm written on the surface of 1 atom of lead(SEE! We''re still on topic!
). At 30,000 years there will be approximately 500,000 atoms of the original material (watch out! its highly fissionable!) and 500.000 lead atoms that are the ultimate in cheat sheets.
Both object 2 and object 3 are in free fall.
When object 2 has decayed 1/2 of the original atoms, will there be more or less than 1/2 of the original atoms in object 3? My understanding says the answer is less since more time has passed for object 3 relative to object 2.
Same thought problem with 1 change.
Object 1 is a planet with a surface that is exactly 1 million miles from the center of the mass of the planet and the total mass of this planet is the same as the black hole in the first version of this problem (yeah, thats impossible).
Object 2 is sitting on the surface of the planet now and is not in free fall. (Or is it?)
What is the answer to the question now. My understanding is that there is no difference. Object 3 is still passing thru time faster than object 2.
So if your right there must be something wrong in my understanding of this thought problem (a version of the black hole and twins paradox). Please illuminate me.
Mike Roberts
aka milo
mlbobs@telocity.com