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Groups > sci.physics.relativity > #674215

Re: Newton and the speed of light

From "Paul B. Andersen" <paul.b.andersen@paulba.no>
Newsgroups sci.physics.relativity
Subject Re: Newton and the speed of light
Date 2026-10-07 02:13 +0200
Organization A noiseless patient Spider
Message-ID <11a42nv$2dtte$1@dont-email.me> (permalink)
References (4 earlier) <18da77a71829aa80$105814$867271$c2265aab@news.newsdemon.com> <e8YtfswkMdrAasDokJoTmzpOphY@jntp> <18dab284e029d363$841$16561$4256dc03@news.newsgroupdirect.com> <119p8m3$2gd4d$1@dont-email.me> <11a21ul$17s8s$1@gwaiyur.mb-net.net>

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Den 06.10.2026 07:45, skrev Thomas 'PointedEars' Lahn:
> [Supersedes in order to correct sign error and formatting]
> 
> Paul B. Andersen wrote:
>> Den 02.10.2026 13:21, skrev HenryWilson:
>>> It just so happens that according to Newton, the speed of the falling
>>> signals increases by exactly that same fraction...from c to c(1+5.24e-10)
>>> ...quite a coincidence, would you not agree?
>>
>> Newton had nothing to say about the speed of EM-radiation.
>> He did however predict that an object falling from GPS-orbit with
>> radius r to the Earth with radius R will increase its speed by:
>>    Δv = √(2⋅GM⋅(1/R−1/r)) = 9746 m/s
> 
> Note that this is only the formula for free fall from relative rest.

You are right.
ΔE = m⋅(v²−v₀²)/2 = m⋅GM⋅(1/R−1/r)
where v₀ is the initial speed at r, and v is the final speed at R.

v = √(2⋅GM⋅(1/R−1/r)+v₀²)
Δv = v - v₀


> The relevant equation of motion is, assuming the equivalence principle,
> 
>                  F = m a = m r̈ = −G M m/r²
>    <==>                      r̈ = −G M/r².
> 
> It can be solved analytically as follows:
> 
>                          ṙ r̈ =    −G M ṙ/r²
>    <==>        1/2 d/dt (ṙ²) =    −G M ṙ/r²
>    <==>            d/dt (ṙ²) =  −2 G M ṙ/r²
>    <==> ∫₀ᵗ dt' d/dt' ṙ(t')² =  −2 G M ∫₀ᵗ dt' ṙ(t')/r(t')²
>    <==>        ṙ(t)² − ṙ(0)² =   2 G M [1/r(t) − 1/r(0)]
>    <==>                ṙ(t)² =   2 G M [1/r(t) − 1/r(0)] + ṙ(0)²
>    <==>                ṙ(t)  = √(2 G M [1/r(t) − 1/r(0)] + ṙ(0)²).
> 
>>    Δv/c = 3.251e-5
>>    If the object's initial speed of the body is c, then
>>    the speed when it hits the ground would be
>>    v = c(1+3.251e-5)

So if v₀ = c,  v = 299792458.1584 m/s, Δv = v-c =  0.1584 m/s

Δv/c = 5.284e-10



> 
> JFTR: Any predicted value different from c would prove that Newton was
> wrong as the speed of light is the same on the ground, and gravitational
> blueshift is observed instead.
> 

GR:     ΔE/E₀ = 5.2996e-10
Newton: ΔE/E₀ = 1.0599e-9
where E₀ is the kinetic energy at r,
and E₀+ΔE is the kinetic energy at R.

-- 
Paul

https://paulba.no/

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                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-19 15:31 -0700
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-19 15:36 -0700
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-19 15:30 -0700
                Re: Newton and the speed of light Manish Babadjanov <baam@ahbo.ru> - 2026-10-19 22:48 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-20 01:20 +0200
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-19 21:14 -0700
                Re: Newton and the speed of light "Paul B. Andersen" <paul.b.andersen@paulba.no> - 2026-10-20 12:39 +0200
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-21 02:00 +0200
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-21 13:18 -0700
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-21 13:22 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-20 10:35 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-21 02:45 +0200
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-21 03:26 +0200
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-21 20:36 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-29 02:23 +0100
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-28 21:24 -0700
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-28 22:23 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-29 15:31 +0000
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-29 16:31 +0000
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-21 13:47 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-23 17:42 +0000
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-23 13:21 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-24 16:47 +0000
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-24 11:15 -0700
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-31 14:32 -0700
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-01 01:29 +0100
                Re: Newton and the speed of light The Starmaker <starmaker@ix.netcom.com> - 2026-10-31 21:32 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-11-01 04:35 +0000
                Electrons and photons (was: Newton and the speed of light) Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-01 07:57 +0100
                Re: Electrons and photons Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-11-01 07:27 -0800
                Re: Electrons and photons Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-11-01 08:42 -0800
                Re: Electrons and photons HenryWilson <Hgw@home.com> - 2026-11-01 18:50 +0000
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-31 21:36 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-11-01 04:28 +0000
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-31 21:42 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-11-01 18:53 +0000
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-11-01 11:13 -0800
                Re: Newton and the speed of light nospam@de-ster.demon.nl (J. J. Lodder) - 2026-11-01 14:47 +0100
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-11-01 08:54 -0800
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-11-01 08:55 -0800
                Re: Newton and the speed of light nospam@de-ster.demon.nl (J. J. Lodder) - 2026-11-01 21:20 +0100
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-11-01 17:10 -0800
                Re: Newton and the speed of light Cletus Rustamov <ltr@meatcelu.ru> - 2026-11-01 18:18 +0000
                Re: Newton and the speed of light Blaine <cactus_DAC@yahoo.com> - 2026-11-01 14:45 -0700
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-29 15:16 +0100
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-31 13:45 -0700
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-31 13:54 -0700
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-31 13:57 -0700
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-31 14:07 -0700
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-31 14:09 -0700
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-10-31 14:13 -0700
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-01 01:16 +0100
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-31 21:26 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-11-01 05:02 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-01 08:19 +0100
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-11-01 10:14 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-02 05:23 +0100
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-11-01 17:56 -0800
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-11-02 00:29 -0800
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-11-02 00:34 -0800
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-11-01 17:47 -0800
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-01 01:13 +0100
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-11-01 17:48 -0800
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-02 05:29 +0100
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-01 01:09 +0100
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-31 21:22 -0700
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-11-01 17:52 -0800
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-11-02 06:22 +0100
                Re: Newton and the speed of light "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2026-11-02 00:26 -0800
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-11-01 04:56 +0000
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-11-01 07:00 -0800
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-13 16:36 +0000
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-13 09:46 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-16 07:26 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-14 18:57 +0200
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-14 19:21 +0200
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-14 19:14 +0200
                Re: Newton and the speed of light Broderick Balarev <brdob@rdar.ru> - 2026-10-14 18:35 +0000
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-16 07:25 +0000
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-16 07:48 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-19 01:33 +0200
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-20 10:37 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-21 02:46 +0200
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-23 17:44 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-25 16:15 +0100
                Re: Newton and the speed of light Ross Finlayson <ross.a.finlayson@gmail.com> - 2026-10-25 10:07 -0700
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-27 10:16 +0000
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-27 10:10 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-08 03:56 +0200
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-07 20:27 +0200
                Re: Newton and the speed of light "Paul B. Andersen" <paul.b.andersen@paulba.no> - 2026-10-07 22:15 +0200
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-08 06:56 +0200
                Re: Newton and the speed of light "Paul B. Andersen" <paul.b.andersen@paulba.no> - 2026-10-08 10:58 +0200
                Re: Newton and the speed of light Maciej Woźniak <mlwozniak@wp.pl> - 2026-10-08 13:03 +0200
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-09 08:03 +0200
                Re: Newton and the speed of light Maciej Woźniak <mlwozniak@wp.pl> - 2026-10-08 07:09 +0200
                Re: Newton and the speed of light (was: Job interview) HenryWilson <Hgw@home.com> - 2026-10-06 13:12 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-06 17:21 +0200
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-06 20:05 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-07 20:06 +0200
                Re: Newton and the speed of light HenryWilson <Hgw@home.com> - 2026-10-09 08:44 +0000
                Re: Newton and the speed of light Thomas 'PointedEars' Lahn <PointedEars@web.de> - 2026-10-09 13:07 +0200

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