(November 3, 2014 at 5:29 pm)Surgenator Wrote: [quote='little_monkey' pid='788993' dateline='1415045970']
I have read your link and nothing in there contradicts my blog. Secondly, there is no reference to two identical stars, so I have no clue where you get that. Simply put, galaxies at different distances will have different redshifts. It doesn't matter what their masses are. What matters is the mass of the source of gravity. In the first figure, the source is the earth, but in the appendix, it's an infinite number of galaxies.
Quote:What is known about gravitational redshift.
1) There is a maximum redshift, z(r->inf) ~ GM/(c^2*R) that gravity can accomplish.
You're using this formula wrongly. In that link, they are talking about a light emanating from inside a star with a radius less than a Schwarzchild radius, which is the radius of a black hole. The point the author is making is in that case, light won't be able to escape. My thought experiment is not about light emanating from the inside of the earth, but from an emitter standing at a distance d above the ground. Different experiments require that you use the math properly.
Quote:You haven't shown that so far how my claim doesn't hold up. I believe you did not understand my blog. Let me give a short synopsis. Historically Hubble discovered his eponymous law through observation, not theory. He concluded that all galaxies were moving away - this was from what was known as the Doppler Effect. Subsequently this was developped as the Big Bang Theory.
In my blog, I show that by taking Einstein Equivalent Principle, one gets that Doppler Effect = Gravitational Shift, and from there, I derived Hubble Law. Now if you can show where my derivation is wrong, then fine, I will appreciate, but so far, you haven't. The only argument that can destroy my claim is my assumption that the universe is infinite. If the universe is finite, then my claim doesn't hold any longer.
Quote:I did understand the overall picture in your blog. However, I'm not going to go in detail through your math or logic to determine where specifically you made a mistake. That is too much work on my end.
Sorry but if you can't do the math, you're not in a position to criticize.
Quote:My two arguments address your claim that "Doppler Effect = Gravitational Shift" through thought experiments. The first one takes the case of the same gravitational potential but at different distances away.
That's why I put 3 different emitters at 3 different distances. But I show that for all these cases, you get one general equation.
Quote:The second is different gravitational potentials but at the same distance away.
That is not possible for a gravitational potential. It's inversely proportional with distance. So at equal distance, the gravitational potential has to be the same.