On 9/11/2024 9:04 AM, Alan Grayson wrote:


On Wednesday, September 11, 2024 at 4:33:51 AM UTC-6 Quentin Anciaux wrote:



    Le mer. 11 sept. 2024, 11:49, Alan Grayson <[email protected]> a
    écrit :



        On Wednesday, September 11, 2024 at 3:26:01 AM UTC-6 Quentin
        Anciaux wrote:



            Le mer. 11 sept. 2024, 11:23, Alan Grayson
            <[email protected]> a écrit :



                On Tuesday, September 10, 2024 at 3:50:08 PM UTC-6
                Quentin Anciaux wrote:



                    Le mar. 10 sept. 2024, 23:19, Alan Grayson
                    <[email protected]> a écrit :



                        On Tuesday, September 10, 2024 at 2:19:42 PM
                        UTC-6 John Clark wrote:

                            On Tue, Sep 10, 2024 at 3:57 PM Alan
                            Grayson <[email protected]> wrote:


                                    *>> Even if you ignore Dark Energy
                                    and postulate that the Hubble
                                    constant really is constant, every
                                    object a megaparsec away (3.26
                                    million light-years) is moving
                                    away from us at about 70
                                    kilometers per second. So if you
                                    try to look at objects a
                                    sufficiently large number of
                                    megaparsec away you will fail to
                                    find any because they are moving
                                    away from us faster than the speed
                                    of light.*


                                >/That was in the past. At present, the
                                universe is expanding at about 70 km/sec./


                            *Galaxies are receding from the Earth
                            at 70 km/sec for EACH megaparsecdistant
                            from Earth they are. The further from
                            Earth they are, the faster they are moving
                            away from us, so if they are far enough
                            away they will be moving faster than the
                            speed of light away from us. *
                            *
                            *

                                /> You're assuming the universe today
                                is infinite,/


                            *NO! I said IF the entire universe is
                            infinite today then it was always
                            infinite, and IF it was finite 10^-35
                            seconds after the Big Bang then it's still
                            finite today. I also said nobody knows if
                            the entire universe is infinite or finite. *

                                *>*///Hubble's law applies to the
                                past, not to the future,/


                            *What the hell?!*


                        *How about an intelligent reply? Obviously, if
                        the universe is infinite today, it was always
                        infinite. But that's what I am questioning.
                        For galaxies to fall out of view, they have to
                        moving at greater than c. Now they aren't
                        receding that fast. How will they start moving
                        that fast? You're applying Hubble's law
                        without thinking what it says. Just because a
                        galaxy is now receding at less than c, how
                        will continued expansion increase that speed
                        to greater than c? AG *


                    The farther they are the faster they are receding
                    from you, so as they continue to get farther away
                    they receed faster from you till the point they
                    receed faster than c and go out of your horizon.

                    Quentin


                Instead of preaching the Gospel, why don't you try to
                justify Brent's equation to prove your point, if you
                can. I see the distance separation along the equator
                for two separated galaxies as linear as the radius of
                the sphere expands. Brent uses Hubble's law, but the
                proof of what you claim shouldn't depend on Hubble,
                but just the geometry. AG


            I did multiple times with the balloon analogy which is
            purely geometrical, see previous answers.


        I don't think so. You just asserted it. AG


    The equation that links distance and recession velocity in both
    cases comes from the same geometric principles of uniform
    expansion in space. The proportionality between distance and
    velocity is a natural consequence of how expansion works, whether
    it’s on a 2D surface like a balloon or in 3D space like our universe.

    The expansion of the balloon and the universe follow similar
    dynamics because, in both cases, the expansion is homogeneous (the
    same everywhere) and isotropic (the same in all directions).

    If you mark two points close to each other on the balloon and
    start inflating it, those two points will move apart slowly.
    However, if you mark two points farther apart, they will move away
    from each other much more quickly as the balloon expands.


This is what you keep claiming, but have yet to offer a *_mathematica_l _proof_*. Try this; two galaxies on the equator of a sphere, with a separation distance s, and the equator expanding as a function of its radius r to simulate expansion. The recessional velocity is ds/dt, which depends on dr/dt. If dr/dt is constant, so will be ds/dt, and the recessional velocity is constant and cannot reach c or greater. What is wrong with this proof, falsifying Hubble's law and your model? AG

Hubble's law says the recession velocity is proportional to the distance so ds/dt=Hs whose solution is s=c*exp(Ht)  So s is not constant and r is not constant.  What is constant is H=(1/s)*ds/dt.

C'mon AG put some effort into understanding.

Brent


    In the same way, in the universe, the farther away a galaxy is,
    the more space there is between us and that galaxy. Since each
    portion of space is expanding, more distant galaxies experience
    the cumulative effect of the expansion over several portions of
    space. This means that for a galaxy at a great distance, the total
    expansion of space is larger, which results in a higher recession
    velocity.

                            *John* K Clark    See what's on my new
                            list at Extropolis
                            <https://groups.google.com/g/extropolis>

                            hwt


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