kawiusz

Because I have a total number equal zero of my own equations to prove. You can't prove the arbitrary scale factor function and the Friedmann's a(t) is already perfectly proved. You totally can't read with comprehension. What institute gave you your degrees?

I'm not your mate, pal. I can get the most accurate, explicit form of the equation for a(t) calculated from the Friedmann eq. in Lambda CDM with the most accurate density parameters and I will have the same result for my simulated observer, but you simply don't get it. Don't edit your answers after you were replied.

You probably forgot to throw in the multiplication table. "Then you better show your equations if it deviates from GR you have your work cut out for you and believe me I'll be able to tell." Every possible and arbitrary but monotonically increasing function of the scale factor function will have the same result for my simulated observer and I gave the explanation. That's why my explicit form of [math]a(t)[/math] is meaningless and makes no difference.

And these comoving coordinates manifest themeselves in the expanding distance between the observer and the photon that he emitted. "hence you would need a different geometry with a different flow of any measurements you take of any particles or objects around you unless you are moving with the coordinates ie fixed coordinate." My geometry is expressed by the same expanding distance and the expanding wavelenght of the photon.

Can't you seriously imagine a universe with a single observer with his own reference frame, that is also the only reference frame in this universe?

There is no other comoving observer in my simulation, mister. There must be at least two to be comoving.

Your answer to my question should be: No, the observable universe radius has never increased with the velocity v<c. So I repeat my previous question: Mister, what exactly is moving with the relative velocity v<c in my universe with a single observer and a single photon that he emitted?

Do you understand the definition of the radius of the observable universe? Has it ever increased with the velocity v<c? Don't edit your answers after you were replied.

Is the blooming radius of the observable universe shorter than the distance traveled by my only photon emitted by my only observer? If it's not, then it's relative velocity can't be less than c. Is it? Don't edit your answers after you were replied.

Mister, what exactly is moving with the relative velocity v<c in my universe with a single observer and a single photon that he emitted?

Mister, what exactly is moving with the relative velocity v<c in my universe with a single observer and a single photon that he emitted?

So you're basically saying that the cosmological horizon is like the other material observer moving with the relative velocity v<c with respect to my only observer, yes?

What is contracting if there is only one observer in the expanding universe? How do you want me to apply Lorentz transformation to a single observer? My responses are not the only garbage in this thread, mister.

Think about what you wrote. If it's applicable for a million observers it's also applicable for one.

How many observers do you have in my simulation to apply the Lorentz transformation between them? One! Think! Don't edit your answers after you were replied.