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Re: My mistake or Einstein's

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On 10/08/2016 4:04 AM, sepp623@yahoo.com wrote:
> This scenario of this simple problem ends up with contradictory
> results. Please identify the mistake.
>
> In this problem, I use c = 3 * 10**8 meters/second as the speed of
> light.
>
> Consider an inertial reference frame, F0, that has an object A moving
> along the x-axis at -2.8 * 10**8 meters/second. If this object starts
> accelerating in the positive x direction at a constant rate of 28
> meters / second**2 as measured in F0, how long does it take for this
> object to reach a speed of 2.8 * 10**8 meters/second as measured in
> F0? When I do the calculation, I find that it takes 2 * 10**7
> seconds. This based on the simple formula v = a * t
>
> Now, when this object accelerates from -2.8 * 10**8 meters/second to
> 2.8 * 10**8 meters/second at the constant rate of 28 meters /
> second**2 as measured in F0, how far does this object travel along
> the x-axis during this time interval as measured in frame F0? Since
> the acceleration rate is constant, I used the formula d = 0.5 * (a *
> t**2) to determine the distance, along with the initial velocity
> before the acceleration starts of -2.8 * 10**8 meters / second. This
> resulted in:
>
> d = ((-2.8 * 10**8) * (2 * 10**7)) + (0.5 * 28 * (2 * 10**7) * (2 *
> 10**7)) meters
>
>
> I run into a problem when I use Einstein's simultaneous events
> concept in conjunction with these numbers.
>
> Let there be a second inertial reference frame, F1, that is moving
> with a relative velocity with magnitude of sqrt(3)/2 * c with respect
> to F0. And let there be a second object in space, object B, that
> initially has the same velocity as object A. When object B
> accelerates, its pattern of acceleration is identical to object A's
> pattern of acceleration. Let observers in frame F1 measure the
> distance between object A and object B to be sqrt(3) light-seconds.
> At time t0, observers in frame F1, simultaneously, start both object
> A and object B accelerating in the positive x direction. Observers in
> frame F1, measure that the distance between object A and object B
> remains constant at sqrt(3) light-seconds. The distance between
> object A and object B remains constant as measured in frame F1
> because both objects had the same initial velocity (the relative
> velocity of object A to object B was zero before the acceleration
> started), they accelerate in the identical manner (just at different
> locations in space) and both objects started accelerating
> simultaneously (as measured in frame F1).
>
In your scenario, the continually accelerating objects will reach the 
speed of light three seconds apart in frame F0. In frame F1, since they 
are always travelling at the same speed, they will reach the speed of 
light simultaneously.

So regardless of the values of the acceleration, or the velocity, the 
three second difference in F0 will transform to nothing in F1.

This is inherently improbable, and makes the whole scenario suspect. 
What you've effectively done is to assert, without proof, that starting 
identical constant accelerations some time apart in one frame transforms 
into simultaneous identical (though not constant) accelerations in some 
other frame.

So that's why you get a contradiction - you've assumed something that's 
not true.

Sylvia.

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My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 11:04 -0700
  Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 12:26 -0700
  Re: My mistake or Einstein's pcardinale@volcanomail.com - 2016-08-09 12:57 -0700
  Re: My mistake or Einstein's pcardinale@volcanomail.com - 2016-08-09 13:04 -0700
  Re: My mistake or Einstein's "Paul B. Andersen" <relativity@paulba.no> - 2016-08-09 22:39 +0200
    Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 13:56 -0700
      Re: My mistake or Einstein's "Paul B. Andersen" <relativity@paulba.no> - 2016-08-10 10:51 +0200
  Re: My mistake or Einstein's JanPB <filmart@gmail.com> - 2016-08-09 15:15 -0700
    Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 15:38 -0700
      Re: My mistake or Einstein's JanPB <filmart@gmail.com> - 2016-08-09 15:53 -0700
        Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 16:21 -0700
          Re: My mistake or Einstein's JanPB <filmart@gmail.com> - 2016-08-09 23:05 -0700
            Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 11:56 +0200
          Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 14:17 +0200
    Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-10 01:39 -0700
  Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 17:26 -0700
    Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 17:38 -0700
      Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 17:53 -0700
        Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 17:59 -0700
          Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 18:26 -0700
            Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 19:05 -0700
              Re: My mistake or Einstein's moroney@world.std.spaamtrap.com (Michael Moroney) - 2016-08-10 02:59 +0000
              Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-09 20:06 -0700
  Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 13:16 +1000
    Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 21:11 -0700
      Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 14:15 +1000
        Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 21:31 -0700
          Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 14:48 +1000
            Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-09 22:56 -0700
              Re: My mistake or Einstein's The Starmaker <starmaker@ix.netcom.com> - 2016-08-10 01:36 -0700
  Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-10 20:35 +1000
  Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 14:04 +0200
    Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 14:29 +0200
      Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 15:29 +0200
        Re: My mistake or Einstein's sepp623@yahoo.com - 2016-08-10 06:36 -0700
          Re: My mistake or Einstein's Sylvia Else <sylvia@not.at.this.address> - 2016-08-11 11:16 +1000
        Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 15:36 +0200
    Re: My mistake or Einstein's bartekltg <bartekltg@gmail.com> - 2016-08-10 15:49 +0200
      Re: My mistake or Einstein's Maciej Woźniak <mlwozniak@wp.pl> - 2016-08-10 16:14 +0200

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