No Trouble with Tribbles

NO TROUBLE WITH TRIBBLES

There is no trouble with Birkhoff’s Theorem which says: All gravity fields (including BHs’) act like normal Newtonian fields because all gravity fields drop out of GR naturally and so must be “asymptotically flat”, that is, they must vanish at large distances, i.e. they must follow an inverse square law.

BUT, Birkhoff is based on the particulars of the massive bodies that are treated, like stars; such particulars as the metric are used as premises. The theorem says any unperturbed spherically symmetric field must be asymptotically flat because any mass already behaves as if all its mass was concentrated at the center. It already behaves like a point mass. So, Birkhoff should rule out the hyperbolic (1/kr) supermassive Black-Hole singular galactic gravitational field.

Yet, none of the BH scenarios that are theoretically covered can be considered real. All real BHs are perturbed beyond recognition by their rapid rotation and by their immense quantities of environmental matter and energy, including enormous external gravity fields. Such fields emanate from huge galactic disks or from other whole galaxies with their own embedded supermassive BHs. The direct superposition of such axially coincident and rotationally concurrent mass concentrations with their enormous gravitational fields may well augment the black-hole field in such a way as to force it into compliance with the hyperbolic field "law" for black-holes. Relativistic frame dragging alone could effect this process.

Real conditions should invalidate the theorem.

Also, one critical consideration is that black-holes are NOT mere point masses. They have been shown by Kretschmann and Schwartzchild to be physically real as infinitely dense point particles (within Heisenberg limits) with an infinitely deep gravitational potential well. They are NOT like a planet or a star. This is not properly reflected in the metrics with their singularities necessarily excluded, and is not adequately treated by Birkhoff, or else it represents an exception. Cosmologists say that the laws of physics break down at the intense spacetime curvatures present near the singularity of a black-hole. What else might this means except that even Birkhoff's Theorem cannot be depended upon. These observations may indicate a flaw or shortcoming in the way that Birkhoff's theorem and general relativity are interpreted for spacetimes in the vicinity of black-holes, particularly near the singularity at r = 0.

Birkhoff used the Schwartzchild Metric. But, he could not rightly use the existence of an infinitely deep gravitational well or an infinitely dense point particle because these singular infinities cannot be handled normally. “The physics at a singularity is not well defined.”

It is far easier to accept the possibility of a flaw or exception than to accept the idea of some sort of unfalsifiable Dark Matter comprised of, say, undetectable WIMPs (weakly interacting massive particles). By their very nature WIMPs are supposed to be so “weakly interacting” that they cannot even show up in particle accelerator experiments. The WIMP hypothesis is formulated to be as unfalsifiable as any of the other Dark Matter proposals. As such, it does not merit the label “science”. It is more like science fiction.

So, an hyperbolic (F = GMm/kr) supermassive BH galactic gravity field is possible after all: k = constant = 1m (S.I.), for dimensional integrity. Einstein referred to his equations as being hyperbolic/elliptical in nature. That is, hyperbolic geometry is not outside the realm of GR.

Kretschmann’s invariance and Schwartzchild’s analysis mean that the singularity at the core of a BH is physically real. From our external frame of reference, the exact location of a BH singularity cannot be found because of the Heisenberg limit. So, from our external perspective, a BH core density and central gravity strength cannot be directly “measured” to be “infinite”. But, mathematically, it is so.

And, elementary analytic geometry says that an infinitely deep graphical gravity potential growing from an hugely heavy infinitely dense point mass MUST be asymptotic in nature (NOT asymptotically flat). By symmetry, the other arm of the graphical curve must be asymptotic too, the definition of a hyperbola.

If you can collaborate on a paper, let us prove that an hyperbolic spacetime geometry around a realistic supermassive black-hole can be genuine and that the postulated hyperbolic (1/kr) field can, indeed, account for all effects currently ascribed to so-called “Dark Matter”. As a partner, of course, I shall do a yeoman’s share of work, including the scut-work of referencing & literature search. I am in an ideal position to do this!

garyakent@aol.com

"It is far easier and demonstrates much less intelligence to shoot down an idea than to show how to make it work."

What Imbues the Higgs with Mass?

What Imbues the Higgs Boson with its Mass?


Speculation or fringe theory is really what we are all about here on this forum, no? In some way or another, this is true. If we were all in the business of writing texts, we would be paid. OR, we would pay journals to publish our junk if we wanted to propound fully qualified articles or developed papers. I understand Brian Greene's, Alan Guth's and other astrophysicists’ descriptions perfectly well. But, I am not about to duplicate their formulations and recount their descriptions just to make a point. There is not enough space in the forum server for me to do this anyway.

Take my whistling in the wind for whatever it may NOT be worth. My MAIN POINT, these days, is always that the hyperbolic (1/kr) black-hole singular galactic gravitational field is acknowledged to be for real and is being studiously ignored...

Now, if that other big unfalsifiable massive particle we call the Higgs Boson is the particle that imbues all other particles with their mass, what imbues the Higgs Boson with its mass?

Higgs theorists are pulling their "pud". The Higgs is an ad hoc addendum that is a poor band-aid for the kink it was supposed to fix. Just what was that, anyway? Oh yeah, no explanation of "mass" in the standard model.

Higgs is not really part of the standard model (yet). If the Higgs is not found, they will simply add in another ad hoc splint. The standard model will not collapse. Eventually, they'll get it right, though, I'll bet.

Funny, there is no explanation of the origin of gravity in GR either, only that it exists mathematically associated with mass. Why cannot we be satisfied with two sides to the same coin? Yin and Yang? If mass and gravity are two ways of looking at the same thing, is it not futile to try to merge them into one - when they are NOT one? OR, if they are already merged as best they can be?

This implies quantum and GR are just "so" - two facets of the same reality. If we try to merge the two, we shall go blind. The GUT or TOE is a fantasy. What if I am right? Millions, perhaps billions more will be spent pursuing Harvey down his rabbit hole. We will get just a mouthful of mud

Much less than mass, there is no implicit validated account of gravity in the standard model of particle physics either. If there is a Higgs boson and Higgs field, it should be possible to derive the existence of the full fledged macroscopic gravitational field from them by means of the "correspondence principle". Then we shall have quantum gravity. Nah! Too easy. On the other hand ...

Part 2 Try Alan Guth's "inflaton" particle

But, as far as other unfalsifiable new hypothetical heavy bosons are concerned - try Alan Guth's "inflaton" particle: A hyper-massive excited particle in a humongously excited "inflaton field" that cannot be distinguished from gravity itself, except by its degree of excitation.

Suddenly, it decays. It decays into daughter particles and these then decay. Some of this decay debris has a long half-life. And enormous mass. The rest decays into matter and energy as we know it. But, the long half life particles remain as ultra-massive black holes. These decay, not via Hawking radiation, but by virtue of their intense infinitely deep singular gravitational fields that cause them to erupt into this same universe (somewhere "else").

They spew out smaller black holes and matter/energy detritus like a Roman candle, (The Big Barf). Because of dependence on random processes and/or temperature, the daughter black holes they generate this way should follow a "normal" or "Poisson" distribution, perhaps. Statistically, this might be verified. Yet, it would take time for these BHs to start gathering in more matter to form full fledged galaxies. Some additional BHs may then form by accretion in the expected way.

Perhaps this process would indeed result in very ancient super-massive BH masses following a Poisson distribution. If I was a mathematical physicist, I am sure I could derive it. But, I am just a modeler.

Note that this process will result in sufficient inhomogeneity without invoking acoustic anomalies, quantum instabilities or other forms of additional turbulence to give the energy/mass distribution we see today, especially in the CMB.

Now for Black-Hole existence: the singularity case of a mass with radius r = 0 is different, however. If one asks that the solution set to the simultaneous homogeneous nonlinear partial differential equations in GR be valid for all r, one runs into a true physical singularity, or gravitational singularity, at the origin. To see that this is a true singularity one must look at quantities that are independent of the choice of coordinates. One such important quantity is the Kretschmann invariant (which says) at r = 0 the curvature blows up (becomes infinite) indicating the presence of a singularity. At this point, the metric, and space-time itself, is no longer well-defined, but not undefined.

For a long time it was thought that such a solution was non-physical. However, a greater understanding of general relativity led to the realization that such singularities were a generic feature of the GR theory and not just an exotic special case. Such solutions are now believed to exist and are termed black-holes. Because they certainly are gravitational singularities, they must have a unique gravitational potential field profile. By simple geometry, they must be distinguished by a hyperbolic (1/r) fall off in the gravitational field strength. This fact is currently being ignored.

F = GMm/kr, k = 1m (S.I., for dimensional integrity) means black-hole gravity falls off hyperbolically, not parabolically as according to Newton. This F equation is fully Newtonian, however. It just focuses on black-holes as being unique, and, of course, they are. Note that k = 1m is an explicit reminder that we deal with a gravitational singularity here.