Monday, January 23, 2012

Geocentrism and "Mathemagic"

The Copernican Principle underlies all of modern cosmology.

It can be boiled down to a simple assertion:

"We're nothing special."

Earth's location is not special.

This principle is generalized under Relativity theories to apply to the whole universe, as the cosmological principle:

"There are no special places".

Mathematical physicists have applied the (currently) most-widely employed solutions to the Einstein equations, the Friedman Lemaitre Walker Robertson (FLRW) solutions, in order to derive the so-called "balloon universe" we have all heard advanced as an explanation for why our cosmological observations have always seemed to put us in the center of it all.

In this "balloon universe" explanation, the two dimensional surface of the balloon serves as an analogy for the three dimensional space of an expanding universe.

If we take a balloon, put a bunch of dots on its surface, and start to blow it up, we will notice that all the dots expand away from each other as the surface area expands.

If we were to imagine the dots as galaxies, and ourselves as observers looking out from one of them, we would think we were in the center, since we would observe all the other dots expanding away from us in all directions.

This "Friedman" universe is the basis upon which rests a recent demand of a correspondent that I essentially, "shut up and calculate"; that is, that I stop dealing with the metaphysical absurdities which have sprouted like mushrooms in the standard model of cosmology, and instead show what something like the CMB Axis would mean mathematically for FLRW equations.

It was a clever move, since of course the arcane mathematics of Relativity has always been the final thicket that mere mortals- you know, the Tom, Dick, and Harrys who actually pay for all of this stuff- can never hope to penetrate.

But, thankfully, someone else has recently been thinking along these precise lines.

His name is Yukio Tomazawa, and he is a professor of physics at the University of Michigan ( Michigan University has really been the center of Axis research).

In August of last year, he posted a paper which explicitly addresses the implications of the CMB dipole for FLRW mathematics.

The assertions are quite remarkable.

For example:

"1) In a B-type universe, nobody observes a cmb dipole. Not even a peculiar velocity yields a cmb dipole."

The math Tomazawa presents in his paper leads to the astonishing conclusion that in a B (balloon) type universe,  nobody would see a CMB dipole!

Since we do see a CMB dipole.........yup.

Tomazawa's math says that the balloon-type FLRW universe exists not in reality, but instead only in FLRW math.

It gets much more interesting.

Tomozawa matter-of-factly delivers this bombshell a little further in:

"II) If the observed cmb dipole and the peculiar velocity of the solar system coincide, as is assumed among some physicists, the solar system must reside at the center of the universe."


It appears that the geocentric hypothesis is getting quite a bit more attention these days!

Now Tomozawa goes on to advance other observational evidence he thinks shows we are not exactly at, but only relatively close to, the center, but his point above is remarkable nonetheless because the consensus today among physicists is that the observed CMB dipole and the peculiar velocity of the solar system *do* coincide!

My interlocutor in the ongoing geocentrism debate says exactly that, for example.

Another point.

When I brought Paul's demand that I essentially ought to "shut up and calculate" to another physicist, whose doctoral dissertation was on General Relativity, I received the following, very relevant response:

"My assistance is to situate the debate where it belongs;  in the premises of relativity – in the metaphysics, not the math.

The (Big Bang) models based on (General Relativity) are castles built on sand.
1)      The equality of relative velocities cannot be tested in the photon frame, as the scientific method requires.
2)      Light speed in its own co-moving frame must be zero, not c.
3)      The westbound (Speed of Light) > c.

An inconsistent theory – like relativity – is worse than being wrong.  It can show anything is true – or false.
No discussion is possible until 1 & 2 are made consistent with reality.

Why let MS choose a battleground based on contradictions?"

Why, indeed?

Over to you, Paul


  1. Certain assertions in certain contexts are falsehoods whereas in other contexts they may be quite true. Interesting how in the contexts where they are falsehoods they sometimes appear to carry within themselves a certain
    inescapable self-refutation.

    Copernican Principle: "We're nothing special." (Shades of nihilism?!) OK, if that's so then apparently there is nothing special about the assertion and if there is nothing special about the assertion why should any heed be paid to it since it is obviously of no real consequence/truth?

    Again -- Cosmological Principle: "There are no special places." Oh, really. Says who? Says you. But you're not special and anyway since neither you nor I hold any special place what's the sense of paying any special attention to you when you tell me, "There are no special places."

    Perhaps, you would wish to dismiss me for talking gibberish. Claim that as your prerogative, but as long as you say you are not special nor that you hold any special place why should anyone pay you any matter?

  2. I am very surprised not to have heard from Paul on this.

    He demanded the math, and he has received it.


    Paul, good heavens, man, show some of that same fire you showed when you raised this pot to the limit, and respond to Tomazawa's math here, please.

    Is there an error in it?

    Please point it out.

    Because *under your own assumptions, posted on your own blog*, you have now become a geocentrist, since *under your own assumptions*, the peculiar velocity of the solar system coincides with the CMB dipole.........

    and under Tomazawa's math, that means under your own assumptions you have become a geocentrist today.

    Unless of course *you* can "shut up and calculate*, and find the error in Tomazawa's math.


    Your Geocentrist and Creationist Friend,


  3. Hi Rick

    I read over the paper which was devastating for the BB cosmology. However the paper seems to indicate the Hubble law is valid and the solar system is moving along towards the great attractor. As such, it seems to me that the paper is only a half way point in regards to geocentrism. Can you comment on this? For example, do the conclusions of the paper change if hubbles law is rejected? It seems so to me and as such the paper can only be used to show relativity and BB cosmology dos not predict a CMB dipole, thereby invalidating those models. It also shows that if hubbles law is assumed, then the universe does have a center, but that center is moving through space.


  4. Hi John!

    Your questions- for the second time!- are so good that I have decided to turn them into a new post.

  5. I am sorry to say I do not.

    But I hope someone who does may find the links useful.