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Groups > sci.physics.relativity > #474604

Re: How atomic clocks measure time

Newsgroups sci.physics.relativity
Date 2018-10-10 09:37 -0700
References (5 earlier) <BvHuD.4758$ik6.1772@fx09.am4> <797cddc9-402f-4f84-8444-b6055b99447f@googlegroups.com> <yGYuD.14542$e55.3615@fx39.am4> <ecf8f3b7-471c-4b82-8fee-1296f51b410a@googlegroups.com> <aWhvD.56468$vX1.48912@fx46.am4>
Message-ID <2bee2da5-e1a7-43c3-a4e9-47a1de5a7bd8@googlegroups.com> (permalink)
Subject Re: How atomic clocks measure time
From Koobee Wublee <koobee.wublee@gmail.com>

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On Wednesday, October 10, 2018 at 12:32:25 AM UTC-7, Paul B. Andersen wrote:
> Den 09.10.2018 21.48, skrev Koobee Wublee:

> > The case of the twin paradox, thus, is best to be described by 4
> > parties: twins A and B, C, and D.  A transform including its reciprocal
> > can be written down where how C is observed by A is compared to how C
> > is observed by B, and another transform including its reciprocal can be
> > written down where how D is observed by A is compared to how D is
> > observed by B.  Then, you allow B and C to occupy the same frame of
> > reference and A and D to occupy another frame of reference.  <shrug>
>
> Can you show the maths for the quadruple paradox, please?

Any transform including the Galilean involves three parties: A, B, and C, and this transform and its reciprocal can only be written describing how C is observed by A comparing to how C is observed by B.  <shrug>

**  dt_AC = (dt_BC – <v_BA> * d<s_BC> / c²) / √(1−v_BA²/c²)

And

**  dt_BC = (dt_AC – <v_AB> * d<s_AC> / c²) / √(1−v_AB²/c²), reciprocal

Where

**  dt_AC = local clock tick rate at C as observed by A
**  dt_BC = local clock tick rate at C as observed by B
**  <v_AB> = velocity of B as observed by A
**  <v_BA> = velocity of A as observed by B
**  <s_AC> = position vector of C as observed by A
**  <s_BC> = position vector of C as observed by B
**  <...> * <...> = dot/inner product of two vectors

In the case of the twin paradox, we need to introduce another party D.  In this case, another and independent transform can be written down as follows having A and B as observers.  <shrug>

**  dt_AD = (dt_BD – <v_BA> * d<s_BD> / c²) / √(1−v_BA²/c²)

And

**  dt_BD = (dt_AD – <v_AB> * d<s_AD> / c²) / √(1−v_AB²/c²), reciprocal

This is not the quadruple paradox.  It is still the twin paradox.  Demanding B and C to occupy the same frame of reference and A and D another frame, the above two transforms including their reciprocals become the following.  <shrug>

**  dt_AB = (dt_BB – <v_BA> * d<s_BB> / c²) / √(1−v_BA²/c²)

And

**  dt_BB = (dt_AB – <v_AB> * d<s_AB> / c²) / √(1−v_AB²/c²), reciprocal

Where

** B = C

The other transform,

**  dt_AA = (dt_BA – <v_BA> * d<s_BA> / c²) / √(1−v_BA²/c²)

And

**  dt_BA = (dt_AA – <v_AB> * d<s_AA> / c²) / √(1−v_AB²/c²), reciprocal

Where

**  A = D

Simplifying these two transforms above, we have:

**  dt_AB = dt_BB / √(1−v_BA²/c²)

And

**  dt_BB = dt_AB √(1−v_AB²/c²), reciprocal

Where

**  d<s_BB> = 0
**  d<s_AB>/dt_AB = <v_AB>

The other transform,

**  dt_AA = dt_BA √(1−v_BA²/c²)

And

**  dt_BA = dt_AA / √(1−v_AB²/c²), reciprocal

Where

**  A = D

In conclusion of the two transforms,

**  dt_AA = dt_BA √(1−v²/c²)
**  dt_BB = dt_AB √(1−v²/c²)

Where

**  v² = v_BA² = v_AB²

At time t = 0, all A, B, C, and D meet at rest to each other, and they come back together at t = T_AA or T_BB for each twin.  Thus, we have:

**  ∫[0,T_AA](dt) = ∫[0,T_BB](dt √(1−v²/c²))
**  ∫[0,T_BB](dt) = ∫[0,T_AA](dt √(1−v²/c²))

Or

**  T_AA = ∫[0,T_BB](dt √(1−v²/c²))
**  T_BB = ∫[0,T_AA](dt √(1−v²/c²))

The two equations above contradict each other with non-zero v.  Thus, the twin paradox is a fatal contradiction to SR.  <shrug>

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Thread

How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-03 13:38 -0700
  How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-03 14:19 -0700
  Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-03 21:40 +0000
    Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-04 08:26 -0700
      Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-04 17:24 +0000
        Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-04 13:36 -0700
          Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-04 21:33 +0000
            Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 07:00 -0700
              Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-05 16:44 +0200
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 07:52 -0700
                Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-05 17:09 +0200
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 08:30 -0700
                Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-05 18:52 +0200
              Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-05 17:32 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 13:18 -0700
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-06 10:38 +0000
          Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-05 02:02 +0200
            Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 07:08 -0700
              Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-05 16:47 +0200
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 07:59 -0700
                Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-05 17:30 +0200
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 08:43 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 16:58 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 13:02 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 21:42 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 08:02 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 04:55 +0000
                Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-05 10:40 -0700
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-05 18:29 +0000
              Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-05 07:48 -0700
          Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 00:46 +0000
            Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 07:15 -0700
              Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 16:26 +0000
          Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-04 19:10 -0700
      Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-04 17:35 -0700
      Re: How atomic clocks measure time "Dono," <sa_ge@comcast.net> - 2018-10-04 18:46 -0700
  How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-03 14:41 -0700
  Re: How atomic clocks measure time Tom Roberts <tjroberts137@sbcglobal.net> - 2018-10-03 18:17 -0400
    Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-03 21:57 -0700
      Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-04 07:06 +0200
        Re: How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-04 07:08 +0200
        Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-04 22:57 +0000
    Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-04 09:01 -0700
    Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-04 17:28 +0000
  Re:How atomic clocks measure time Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-10-04 00:26 +0200
    Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-04 05:23 +0000
    Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-04 09:15 -0700
      Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-04 09:45 -0700
        Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-04 10:23 -0700
          Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-04 13:23 -0700
  Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-04 08:50 +0200
    Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-04 08:57 -0700
      Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-04 19:54 +0200
        Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-04 21:51 -0700
          Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-05 01:26 -0700
          Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-08 13:49 +0200
            Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-08 05:08 -0700
            Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-08 13:15 -0700
              Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-09 09:22 +0200
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-09 03:36 -0700
                Re: How atomic clocks measure time kenseto <setoken@att.net> - 2018-10-09 06:56 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-09 16:42 +0000
                Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-09 12:48 -0700
                Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-10 09:32 +0200
                Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-10 09:37 -0700
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tc> - 2018-10-10 19:11 +0000
                Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-11 14:03 +0200
                Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-11 10:07 -0700
                Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-11 21:30 +0200
                Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-11 13:08 -0700
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-11 13:55 -0700
                Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-12 15:36 +0200
                Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-12 21:45 -0700
                Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-13 11:34 +0200
                Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-13 09:44 -0700
        Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-05 18:40 +0000
  Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-04 13:53 -0700
    Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 01:06 +0000
      Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 07:29 -0700
        Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 07:44 -0700
        Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 16:35 +0000
          Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 10:01 -0700
            Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 17:13 +0000
              Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 13:17 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-05 22:06 +0000
                Re: How atomic clocks measure time Tom Roberts <tjroberts137@sbcglobal.net> - 2018-10-05 19:38 -0400
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-05 17:50 -0700
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-05 18:06 -0700
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-05 18:24 -0700
                Re: How atomic clocks measure time Tom Roberts <tjroberts137@sbcglobal.net> - 2018-10-06 11:02 -0500
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-06 09:34 -0700
                Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-06 18:43 +0200
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-06 10:08 -0700
                Re: How atomic clocks measure time Tom Roberts <tjroberts137@sbcglobal.net> - 2018-10-06 16:18 -0500
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-06 15:10 -0700
                Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-07 00:47 +0200
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-06 16:02 -0700
                Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-07 00:31 +0200
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-06 22:38 +0000
                Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-07 00:54 +0200
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-06 23:09 +0000
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-06 15:55 -0700
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-06 10:37 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 09:53 -0700
                Re: How atomic clocks measure time Tom Roberts <tjroberts137@sbcglobal.net> - 2018-10-06 16:30 -0500
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-07 09:06 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 16:35 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-07 10:26 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 20:32 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-07 13:52 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 21:31 +0000
                Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-07 22:13 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 05:22 -0700
                Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-08 13:21 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 06:32 -0700
                Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-08 13:40 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 06:45 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 07:27 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 17:21 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 13:19 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 21:29 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-09 07:12 -0700
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-09 07:30 -0700
                Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-09 09:03 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-09 18:22 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-09 13:56 -0700
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-09 22:15 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-10 07:39 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-10 08:32 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-10 09:04 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-10 09:47 -0700
                Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-10 10:49 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-10 13:29 -0700
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-10 21:19 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-11 07:26 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-11 15:11 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-11 09:10 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-11 09:16 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-11 09:59 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-11 13:50 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-11 14:01 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 07:42 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-11 21:47 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 08:06 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-12 18:45 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-12 12:09 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 13:20 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-12 21:25 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-13 03:03 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-13 09:25 -0700
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-13 10:29 -0700
                Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-13 18:10 +0000
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-11 15:49 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-11 17:27 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-11 17:43 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 08:30 -0700
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-12 09:41 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-12 18:50 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 13:30 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 08:24 -0700
                Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-12 10:13 +0200
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 08:38 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-12 18:59 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-12 13:42 -0700
                Re: How atomic clocks measure time "Paul B. Andersen" <relativity@paulba.no> - 2018-10-13 11:10 +0200
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-11 19:51 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-11 13:52 -0700
                Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-11 13:56 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-11 02:33 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-10 21:22 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-11 07:42 -0700
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-10 12:19 -0700
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-10 08:57 -0700
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-07 14:55 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 07:35 -0700
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 08:04 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 17:24 +0000
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 10:43 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 13:24 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 21:36 +0000
                Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-08 11:59 -0700
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 12:02 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 14:02 -0700
                Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-08 14:30 -0700
                Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-09 02:45 +0000
                Re: How atomic clocks measure time benj <benj.fake@gmail.com> - 2018-10-08 23:41 -0400
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 22:56 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 08:24 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 05:09 +0000
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-07 09:34 -0700
                Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 20:17 +0000
                Re: How atomic clocks measure time Edward Prochak <edprochak@gmail.com> - 2018-10-08 08:28 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 09:18 -0700
                Re: How atomic clocks measure time Edward Prochak <edprochak@gmail.com> - 2018-10-08 10:55 -0700
                Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 13:56 -0700
                Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-08 19:46 +0200
                Re: How atomic clocks measure time Edward Prochak <edprochak@gmail.com> - 2018-10-08 11:01 -0700
                Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-08 20:26 +0200
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tc> - 2018-10-08 18:02 +0000
                Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-08 20:29 +0200
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-08 11:44 -0700
    Re: How atomic clocks measure time Tom Roberts <tjroberts137@sbcglobal.net> - 2018-10-05 17:01 -0400
      Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 14:26 -0700
        Re: How atomic clocks measure time Dirk Van de moortel <dirkvandemoortel@notmail.com> - 2018-10-06 01:03 +0200
        Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-05 18:15 -0700
        Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-06 07:42 -0700
          Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 08:47 -0700
            Re: How atomic clocks measure time Paparios <mrios@ing.puc.cl> - 2018-10-06 09:45 -0700
              Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 10:35 -0700
                Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-06 17:56 +0000
                Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-06 12:50 -0700
                Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-06 13:16 -0700
            Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 05:17 +0000
          Re: How atomic clocks measure time Koobee Wublee <koobee.wublee@gmail.com> - 2018-10-06 12:32 -0700
            Re: How atomic clocks measure time Paul Gish <uop@uwrwuao.tt> - 2018-10-06 19:43 +0000
        Re: How atomic clocks measure time Edward Prochak <edprochak@gmail.com> - 2018-10-08 08:48 -0700
          Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-08 19:56 +0200
  Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-05 09:02 -0700
    Re: How atomic clocks measure time Edward Prochak <edprochak@gmail.com> - 2018-10-08 08:10 -0700
      Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 09:01 -0700
        Re: How atomic clocks measure time rotchm <rotchm@gmail.com> - 2018-10-08 09:56 -0700
        Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 17:31 +0000
          Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 13:37 -0700
            Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-08 21:48 +0000
              Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-09 07:32 -0700
        Re: How atomic clocks measure time Edward Prochak <edprochak@gmail.com> - 2018-10-08 10:52 -0700
          Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-08 13:54 -0700
  Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 09:30 -0700
    Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-06 21:57 +0000
    Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 05:24 +0000
  Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 13:25 -0700
  Re: How atomic clocks measure time Ed Lake <detect@newsguy.com> - 2018-10-06 13:47 -0700
    Re: How atomic clocks measure time Odd Bodkin <bodkinodd@gmail.com> - 2018-10-06 21:57 +0000
    Re: How atomic clocks measure time "David (Kronos Prime) Fuller" <fuller.david@hotmail.com> - 2018-10-06 15:06 -0700
    Re: How atomic clocks measure time moroney@world.std.spaamtrap.com (Michael Moroney) - 2018-10-07 05:27 +0000
    Re: How atomic clocks measure time Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2018-10-07 14:51 +0200
      Re: How atomic clocks measure time mlwozniak@wp.pl - 2018-10-07 08:22 -0700

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