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Topic: Preferred Frame Theory indistinguishable from SR
Replies: 204   Last Post: Jul 13, 2010 11:11 AM

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Daryl McCullough

Posts: 2,871
Registered: 1/29/05
Re: Preferred Frame Theory indistinguishable from SR
Posted: Jul 3, 2010 7:02 AM
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harald says...

>If you google search, you will find me explaining that Einstein
>claimed to have solved GRT's clock paradox. ;-)


The use of GR to explain the results of the twin paradox is a little perverse,
because GR is a generalization of SR. In the case of empty space far from any
large gravitating bodies, GR reduces to SR, so any GR solution to the twin
paradox would have to have already been a solution in SR. Which is exactly the
case: GR solves the twin paradox in the exact way that SR does.

Many people are confused by the equivalence principle into thinking that
Einstein's theory of gravity is necessary in order to describe physics from the
point of view of an accelerating coordinate system. That's exactly backwards.
The reasoning goes the other way around:

1. We already understand SR as described in standard inertial coordinates (the
type of coordinate systems related by the Lorentz Transformations).

2. We use ordinary calculus to figure out what SR looks like in other coordinate
systems. This is not a different *physical* theory than SR, any more than using
spherical coordinates to do Newtonian mechanics means we are no longer doing
Newtonian mechanics.

3. Using calculus, we can figure out what SR looks like in an accelerated
coordinate system (a coordinate system in which an accelerated observer is "at
rest". What we find is that, as measured in such a coordinate system, a clock
shows an elapsed time T such that dT/dt is position dependent: Clocks that are
"higher" (in the direction of the acceleration) run faster, and clocks that are
"lower" run slower.

4. Now, we invoke the equivalence principle, and assume that the situation of
being at rest in a uniform gravitational field is approximately the same as
being at rest in an accelerated coordinate system in SR.

5. We conclude from 4 that clocks that are stationary and "higher" in a
gravitational field run faster than clocks that are stationary and "lower". So a
clock high on a mountain runs faster than a clock at sea level (after accounting
for the SR effect of velocity due to the rotating Earth).

The equivalence principle allows us to *approximately* solve problems involving
gravity by using SR. That's what it's useful for. The other way around, using GR
to solve problems that involve acceleration in flat spacetime, makes little
sense, because you don't need GR. You just need SR + calculus.

--
Daryl McCullough
Ithaca, NY



Date Subject Author
6/26/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
6/26/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
6/26/10
Read Re: Preferred Frame Theory indistinguishable from SR
Peter Webb
6/29/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/12/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/12/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/12/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/12/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/13/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
6/29/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
6/29/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/9/10
Read Re: Preferred Frame Theory indistinguishable from SR
Ken Seto
7/9/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/10/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
6/29/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
6/29/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/10/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/10/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/10/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
hanson
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Peter Webb
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
hanson
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/12/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/12/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
6/29/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Cosmik Debris
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/10/10
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colp
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
Ken Seto
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
glbrad01
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Ken Seto
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Aetherist
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Y.Porat
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/4/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/11/10
Read Re: Preferred Frame Theory indistinguishable from SR
Ken Seto
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
Aetherist
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
hanson
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Aetherist
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Aetherist
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
Tom Roberts
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
Tom Roberts
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/7/10
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whoever
7/7/10
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J. Clarke
7/7/10
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colp
7/7/10
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artful
7/7/10
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J. Clarke
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/7/10
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eric gisse
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
Edward Green
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/5/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/12/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
6/30/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
whoever
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
eric gisse
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
Daryl McCullough
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/8/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/7/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
Androcles
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
artful
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
harald
7/2/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/1/10
Read Re: Preferred Frame Theory indistinguishable from SR
colp
7/3/10
Read Re: Preferred Frame Theory indistinguishable from SR
PD
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Koobee Wublee
7/6/10
Read Re: Preferred Frame Theory indistinguishable from SR
Peter Webb

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