Re: The Schwarzschild Metric has been refuted.

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