The gravitational redshift and the cosmological redshift are both written as 1+z
As I’ve already explained and proved, that’s incorrect. Just because you wrote a sentence claiming something different can in no way be considered any sort of counter argument or proof.
At this stage I’m curious about something so please forgive me for asking – What did you hope to accomplish by repeating yourself after I’ve posted proof that you’re wrong? Did you
actually believe that I’d through my hands up in the air and say
By George, now I’ve seen the error of my ways over all these many years of studying and tutoring the subject. He repeated himself thus proving me wrong!
You’d be wise to follow my advice – If you’re unable to prove your assertion correct then don’t state it. Simply stating that you're right doesn't automatically mean that you're correct. Doing so only makes you look silly.
Gravitational redshift is not defined by a quanity such as z or 1+z or sin(12z) or whatever.
Gravitational Redshift is defined as follows:
From
Exploring Black Holes by Taylor and Wheeler. See the
Glossary of Terms – Author
Yours Truly aka pmb.
Increase in the period of light as it moves toward the center of gravitational attraction.
That definition, as is the glossary of terms, is limited to the scope of the text.
From
Exploring Black Holes – 2nd Ed. by Taylor, Wheeler and Bertschinger, page
http://www.eftaylor.com/exploringblackholes/Cosmos110410v1.pdf
At the moment this author uses the term ‘redshift’ not cosmological redshift. I’m a proof reader and have recommended that he change it in at least one place so that readers will recognize it when they read other textbooks on relativistic cosmology. From page
(page 19) Because astronomers measure redshift z, not time t, we rewrite ….
…with observed redshift z..
(page 20 – figure 4) objects at redshift z…
(page 28) Conclusion: the microwave background radiation was produced at a redshift z ~ 3000/2.726 = 1100.
(page 31) As discussed in Chapter 18, they measure redshift z and luminosity distance … The goal here is to determine time t from redshift z.
and it goes on like that. Case closed!