Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail
From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.physics.relativity
Subject: Re: The Schwarzschild Metric has been refuted.
Date: Mon, 28 Apr 2025 12:36:49 +0300
Organization: -
Lines: 93
Message-ID: <vuni7h$30b98$1@dont-email.me>
References: <c5b55811f1d9185c218d02d03bc8e44b@www.novabbs.com> <8ea3ce221fabb79b4549bca9ff6d787e@www.novabbs.com> <vuj8n9$2v3o2$1@dont-email.me> <0dacad67d4070ef5e1bbb117a61fc469@www.novabbs.com> <vul77n$opm2$1@dont-email.me> <c70bd89809c8fefdf5e8db1265630a89@www.novabbs.com>
MIME-Version: 1.0
Content-Type: text/plain; charset=utf-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Mon, 28 Apr 2025 11:36:49 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="d8d12c83be41d40122cd358aabad745d";
	logging-data="3157288"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX19F6l8gWiEjSXocaYWrCDFE"
User-Agent: Unison/2.2
Cancel-Lock: sha1:lXnn21LgudWAD4yrybu9ZGr+OtI=
Bytes: 3902

On 2025-04-27 19:40:04 +0000, LaurenceClarkCrossen said:

> On Sun, 27 Apr 2025 12:22:22 +0000, Paul.B.Andersen wrote:
> 
>> Den 27.04.2025 01:40, skrev LaurenceClarkCrossen:
>>> On Sat, 26 Apr 2025 18:35:26 +0000, Paul.B.Andersen wrote:
>>> 
>>>> 
>>>> https://paulba.no/pdf/GravitationalDeflection.pdf
>> 
>>> Paul, your fascinating article, "Gravitational deflection of light by
>>> the Sun" astounded me with its erudition. In it you simply double the
>>> Newtonian to get the GR deflection.
>> 
>> It has been known for 110 years that GR predicts twice
>> the gravitational deflection than does Newton.
>> 
>> So why does it surprise you that you get the Newtonian prediction
>> by dividing the GR prediction by 2?
>> 
>> The Newtonian prediction for the deflection observed from the Earth is:
>> 
>> θ = (GM/(AU+c²))⋅(1+cosφ)/sinφ
>> 
>> The GR prediction for the deflection observed from the Earth is:
>> 
>> θ = (2GM/(AU+c²))⋅(1+cosφ)/sinφ
>> 
>> Where:
>> AU = one astronomical unit (distance Sun-Earth)
>>  φ  = angle Sun-Earth as observed from the Earth
>> c  = speed of light in vacuum
>> G = Gravitational constant
>> M = solar mass
>> 
>> Examples:
>> 
>> φ = 0.266⁰  (light grazing the sun)
>> -----------------------------------
>> Newton:  θ = 0.876078"
>> GR:      θ = 1.752156"
>> 
>> φ = 15⁰
>> -----------------------------------
>> Newton:  θ = 0.015468"
>> GR:      θ = 0.030938"
>> 
>> φ = 30⁰
>> -----------------------------------
>> Newton:  θ = 0.007600"
>> GR:      θ = 0.015201"
>> 
>> φ = 45⁰
>> -----------------------------------
>> Newton:  θ = 0.004917"
>> GR:      θ = 0.009833"
>> 
>> φ = 60⁰
>> -----------------------------------
>> Newton:  θ = 0.003527"
>> GR:      θ = 0.007055"
>> 
>> φ = 75⁰
>> -----------------------------------
>> Newton:  θ = 0.002654"
>> GR:      θ = 0.005308"
>> 
>> φ = 90⁰
>> -----------------------------------
>> Newton:  θ = 0.002037"
>> GR:      θ = 0.004073"
>> 
>> Now you can compare these predictions with
>> the measurements made in the following experiments:
>> 
>> https://paulba.no/paper/PPN_gamma_Hipparcos.pdf
>> https://paulba.no/paper/PPN_gamma_Cassini.pdf
>> https://paulba.no/paper/Shapiro_2004.pdf
>> https://paulba.no/paper/Fomalont.pdf
>> https://paulba.no/paper/PPN_gamma_Cassini_2.pdf
>> 
>> What is your conclusion?
>> Is any of the theories falsified?
> Mei has shown that the Schwarzschild metric implicitly has the starlight
> going through the Sun.

Actually Schwarzschild geometry predicts that light from most stars is
not blocked by Sun. This is easiest to prove about a star that is
exacly opposite to Sun.

-- 
Mikko