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Re: Contradiction or my math/physics error?

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Trevor Lange wrote:

> On Monday, March 27, 2023 at 4:57:18 PM UTC-7, Thomas 'PointedEars' Lahn
> wrote:
>> > Again, use units with c=1, and let v be the speed of S1 in terms of S0,
>> > and let V denote the initial speeds of the objects in the negative x
>> > direction when they respectively begin accelerating, and put the origin
>> > at the initial acceleration event of the object at lower x, so its
>> > equation of motion is x = -Vt + (1/2)at^2.
>>
>> This is NOT a correct equation of motion in special-relativistic
>> mechanics because given a constant force, the acceleration cannot remain
>> constant.
> 
> You are mistaken, because the OP specifically stipulated constant
> *coordinate* acceleration, not constant proper acceleration,

I *was* *obviously* discussing only the coordinate acceleration.

> so the above formula is exactly correct.

You are confusing theories, and concepts.

I have shown that the premise of the OP is, and the formula given by you 
describes, a physical *impossibility* (regardless of whether the force is 
constant): a continuously applied, non-zero 3-force will NOT result in a 
constant coordinate (3-)acceleration.

Because if it were different, then the relative speed could in some inertial 
frame of reference reach and even exceed c.

> Indeed this was the answer to his question:  The specified loci do
> eventualy intersect, but only after at least one of them exceeds the speed 
> of light.

So this does not happen.


PointedEars
-- 
“Science is empirical: knowing the answer means nothing;
 testing your knowledge means everything.”
   —Dr. Lawrence M. Krauss, theoretical physicist,
    in “A Universe from Nothing” (2009)

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Contradiction or my math/physics error? "sepp623@yahoo.com" <sepp623@yahoo.com> - 2023-03-14 15:15 -0700
  Re: Contradiction or my math/physics error? Trevor Lange <trevorlange97@gmail.com> - 2023-03-14 18:08 -0700
    Re: Contradiction or my math/physics error? "sepp623@yahoo.com" <sepp623@yahoo.com> - 2023-03-16 08:05 -0700
      Re: Contradiction or my math/physics error? "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-03-16 12:03 -0700
        Re: Contradiction or my math/physics error? Laurence Clark Crossen <l.c.crossen@hotmail.com> - 2023-03-16 13:03 -0700
          Re: Contradiction or my math/physics error? Sylvia Else <sylvia@email.invalid> - 2023-03-28 20:04 +1100
            Re: Contradiction or my math/physics error? "gehan.am...@gmail.com" <gehan.ameresekere@gmail.com> - 2023-04-13 03:46 -0700
              Re: Contradiction or my math/physics error? Python <python@invalid.org> - 2023-04-13 12:50 +0200
                Re: Contradiction or my math/physics error? JanPB <filmart@gmail.com> - 2023-04-13 10:15 -0700
              Re: Contradiction or my math/physics error? Python <python@invalid.org> - 2023-04-13 12:50 +0200
                Re: Contradiction or my math/physics error? "gehan.am...@gmail.com" <gehan.ameresekere@gmail.com> - 2023-04-13 04:11 -0700
                Re: Contradiction or my math/physics error? Laurence Clark Crossen <l.c.crossen@hotmail.com> - 2023-04-13 06:20 -0700
                Re: Contradiction or my math/physics error? JanPB <filmart@gmail.com> - 2023-04-13 10:20 -0700
                Re: Contradiction or my math/physics error? Laurence Clark Crossen <l.c.crossen@hotmail.com> - 2023-04-13 11:37 -0700
                Re: Contradiction or my math/physics error? Tom Roberts <tjoberts137@sbcglobal.net> - 2023-04-15 14:52 -0500
                Re: Contradiction or my math/physics error? Laurence Clark Crossen <l.c.crossen@hotmail.com> - 2023-04-13 06:28 -0700
                Re: Contradiction or my math/physics error? Tom Roberts <tjoberts137@sbcglobal.net> - 2023-04-15 14:35 -0500
              Re: Contradiction or my math/physics error? Jane <Jane@home.com> - 2023-05-03 08:46 +0000
                Re: Contradiction or my math/physics error? Maciej Wozniak <maluwozniak@gmail.com> - 2023-05-03 02:16 -0700
                Re: Contradiction or my math/physics error? whodat <whodaat@void.nowgre.com> - 2023-05-03 09:25 -0500
          Re: Contradiction or my math/physics error? JanPB <filmart@gmail.com> - 2023-03-28 10:34 -0700
            Re: Contradiction or my math/physics error? Maciej Wozniak <maluwozniak@gmail.com> - 2023-03-28 10:36 -0700
        Re: Contradiction or my math/physics error? Sylvia Else <sylvia@email.invalid> - 2023-03-28 20:02 +1100
          Re: Contradiction or my math/physics error? "mitchr...@gmail.com" <mitchrae3323@gmail.com> - 2023-04-13 10:31 -0700
        Re: Contradiction or my math/physics error? JanPB <filmart@gmail.com> - 2023-03-28 10:32 -0700
    Re: Contradiction or my math/physics error? Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2023-03-28 01:57 +0200
      Re: Contradiction or my math/physics error? Trevor Lange <trevorlange97@gmail.com> - 2023-03-27 17:23 -0700
        Re: Contradiction or my math/physics error? Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2023-04-12 21:29 +0200
          Re: Contradiction or my math/physics error? Trevor Lange <trevorlange97@gmail.com> - 2023-04-12 22:28 -0700
  Re: Contradiction or my math/physics error? Sylvia Else <sylvia@email.invalid> - 2023-03-28 12:00 +1100
  Re: Contradiction or my math/physics error? JanPB <filmart@gmail.com> - 2023-03-27 20:22 -0700

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