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From: "Paul.B.Andersen" <relativity@paulba.no>
Newsgroups: sci.physics.relativity
Subject: Re: Newton: Photon falling from h meters increase its energy.
Date: Sun, 19 Jan 2025 11:17:11 +0100
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Den 18.01.2025 21:00, skrev LaurenceClarkCrossen:
> On Sat, 18 Jan 2025 13:15:41 +0000, Paul.B.Andersen wrote:
> 
>> Den 17.01.2025 22:17, skrev LaurenceClarkCrossen:
>>
>> The equation for the total deflection is:
>>    Θₜ = 4GM/Δ⋅c²
>> where:
>>   Δ = the impact parameter, closest approach to Sun
>>   c = speed of light in vacuum
>>   G = gravitational constant
>>   M = solar mass
>>      
>> The equation for the deflection observed from the Earth is:
>>   Θ = (2GM/Δ⋅c²)⋅(1 + cosφ)
>> where:
>>  φ  = angle Star-Sun as observed from the Earth
>>
>> This equation is derived from the equation for total deflection
>> with a bit of geometry.
>>
>> These equations are thoroughly confirmed to be correct because
>> experiments have shown that their predictions are correct within
>> the precision of the measurements, which are in the order of ±0.005%.
>>
>> 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
>>

>>> You must be extremely ignorant to think an experiment can prove a false
>>> derivation.

>>
>> The experiments say nothing about the correctness
>> of any derivations, they only show that the equations
>> Θₜ = 4GM/Δ⋅c² and Θ = (2GM/Δ⋅c²)⋅(1 + cosφ)  are correct.
>>
>> Since Poor claims that the equation Θₜ = 4GM/Δ⋅c² is wrong,
>> Poor is proven wrong.
>>
>> Do you really believe that the derivation was wrong but
>> the result of the derivation was right?
>> Possible, but not probable.

> The "4" in the equation comes from non-Euclidean geometry, "curved
> space." This derivation is incorrect because space is not a surface, so
> it does not curve. You keep deflecting from the derivation to the
> experiments. All I've been talking about is the derivation. Didn't you
> listen? If the experiments obtained correct results, that does not make
> the derivation correct. Don't be stupid. It doesn't make space curved.
> That is an elementary logical fallacy.

I deduce from your statement:
   "If the experiments obtained correct results,
    that does not make the derivation correct."
that you accept the fact that it is experimentally confirmed
that the equation Θₜ = 4GM/Δ⋅c² is correct.

Do you really believe that the derivation from GR is wrong,
but the result of the wrong derivation is correct? :-D

Nobody, not even you, can be that stupid.

The fact that Einstein and a number of other physicists have
calculated that GR predicts the experimentally verified equation
Θₜ = 4GM/Δ⋅c² for the gravitational bending of light, prove that
the derivation is correct.

And since Poor claimed that the equation Θₜ = 4GM/Δ⋅c²
was wrong, Poor is proven wrong.

Or does your logic say otherwise?

-- 
Paul

https://paulba.no/