Wednesday, July 09, 2008

Andromeda


Every galaxy ever examined contains at its centre a supermassive Black Hole. Today we know that stars orbit around this centre. We zoom from a telescope view of Andromeda to computer animation of young blue stars whirling around the Black Hole. Present theories of star formation can't explain how stars could form and survive here without being torn apart. If Black Holes seeded formation of these stars, their continued presence would keep the stars stable.

Someday humans may realise that Black Holes can exist in many places, even within stars and planets. The situation is similiar to the discovery of atoms. Though ancient Greeks speculated about atoms, even 100 years ago some still doubted their existence. We still can't see atoms, but after many decades evidence mounted of their existence. We can't see submqarines underwater, but people believe they exist because submarines are nice enough to surface from time to time. Though we don't always acknowledge their existence, Black Holes are friends.

More Space news in the new Carnival of Space!

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3 Comments:

Anonymous Anonymous said...

We have known here in Finland that a black hole exists in the centre of every galaxy (keeping together the
innumerable stars and solar systems by its gravitational force). We also know that 200 hundred years ago, our
chemists (in this case Berzelius of Sweden) discovered experimentaly
that atoms realy exist (what Demokritos 2 500 years ago in the ancient Greece had assumed). So, I
must tell you Louise that the scientific civilization becomes from Europe. By the way, the distance of Andromeda from Milky Way is about 2 million light years.
(in the future, it is only 1 mly!).

5:52 AM  
Blogger nige said...

Nice post. Andromeda is very interesting, since it's relatively nearby and is a rare blue-shifted galaxy, due to the fact that the Milky Way is being attracted to it so the two galaxies are approaching, not receding as is the case with other galaxies.

I love the fact that black holes exist in the centre of galaxies.

"If Black Holes seeded formation of these stars, their continued presence would keep the stars stable."

Presumably the first stars that began shortly after the big bang grew very large because there were massive really clouds of hydrogen gas which collapsed to form them.

They fused hydrogen into heavier elements quickly, then exploded as supernovae (such as the one which created all the heavy elements in the solar system's planets) or collapsed into black holes, which then seeded galaxy formation.

I realise that you are busy with spacesuit design and that other people like Kea and Carl Brannen are busy with Category Theory and Mass Operators/Koide formula theory development, but may I just summarise here some evidence about the possibility of fundamental particle cores being black holes and Hawking radiation as a gauge theory exchange radiation?

1. A black hole with the electron's mass would by Hawking's theory have an effective black body radiating temperature of 1.35*10^53 K. The Hawking radiation is emitted by the black hole event horizon which has radius R = 2GM/c^2.

2. The radiating power per unit area is the Stefan-Boltzmann constant multiplied by the kelvin temperature raised to the fourth power, which gives 1.3*10^205 watts/m^2. For the black hole event horizon spherical surface area, this gives a total radiated power of 3*10^92 watts.

3. For an electron to keep radiating, it must be absorbing a similar power. Hence it looks like an exchange-radiation theory where there is an equilibrium. The electron receives 3*10^92 watts of gauge bosons and radiates 3*10^92 watts of gauge bosons. When you try to move the electron, you introduce an asymmetry into this normal equilibrium and this is asymmetry felt as inertial resistance, in the way broadly argued (for a zero-point field) by people like Professors Haisch and Rueda. It also causes compression and mass increase effects on loving bodies, because of the snowplow effect of moving into a radiation field and suffering a net force.

3. When the 3*10^92 watts of exchange radiation hit an electron, they each impart momentum of absorbed radiation is p = E/c, where E is the energy carried, and when they are re-emitted back in the direction they came from (like a reflection) they give a recoil momentum to the electron of a similar p = E/c, so the total momentum imparted to the electron from the whole reflection process is p = E/c + E/c = 2E/c.

The force imparted by successive collisions, as in the case of any radiation hitting an object, is The force of this radiation is the rate of change of the momentum, F = dp/dt ~ (2E/c)/t = 2P/c = 2*10^84 Newtons, where P is power as distinguished from momentum p.

So the Hawking exchange radiation for black holes would be 2*10^84 Newtons.

Now the funny thing is that in the big bang, the Hubble recession of galaxies at velocity v = HR implies an outward acceleration of either

a = v/t = (HR)/(R/c) = Hc

or else

a = dv/dt = d(HR)/dt = H*dR/dt + R*dH/dt = Hv + R*0 = Hv = RH^2.

For distances near the horizon radius of the universe R = ct, both of these estimates for a are the same, although they differ for smaller distances.

However, since most of the mass is at great distances, an order of magnitude estimate is that this acceleration causes an outward force of

F = ma = Hcm = 7*10^43 Newtons.

If that outward force causes an equal inward force which is mediated by gravitons (according to Newton's 3rd law of motion, equal and opposite reaction), then the cross-sectional area of an electron for graviton interactions (predicting the strength of gravity correctly) is the cross-sectional area of the black hole event horizon for the electron, i.e. Pi*(2GM/c^2)^2 m^2. (Evidence here.)

Now the fact that the black hole Hawking exchange radiation force calculated above is 2*10^84 Newtons, compared 7*10^43 Newtons for quantum gravity, suggests that the Hawking black hole radiation is the exchange radiation of a force roughly (2*10^84)/(7*10^43) = 3*10^40 stronger than gravity.

Such a force is of course electromagnetism.

So I find it quite convincing that the cores of the leptons and quarks are black holes which are exchanging electromagnetic radiation with other particles throughout the universe.

The asymmetry caused geometrically by the shadowing effect of nearby charges induces net forces which we observe as fundamental forces, while accelerative motion of charges in the radiation field causes the Lorentz-FitzGerald transformation features such as compression in the direction of motion, etc.

Hawking's heuristic mechanism of his radiation emission has some problems for an electron, however, so the nature of the Hawking radiation isn't the high-energy gamma rays Hawking suggested. Hawking's mechanism for radiation from black holes is that pairs of virtual fermions can pop into existence for a brief time (governed by Heisenberg's energy-time version of the uncertainty principle) anywhere in the vacuum, such as near the event horizon of a black hole. Then one of the pair of charges falls into the black hole, allowing the other one to escape annihilation and become a real particle which hangs around near the event horizon until the process is repeated, so that you get the creation of real (long-lived) real fermions of both positive and negative electric charge around the event horizon. The positive and negative real fermions can annihilate, releasing a real gamma ray with an energy exceeding 1.02 MeV.

This is a nice theory, but Hawking totally neglects the fact that in quantum field theory, no pair production of virtual electric charges is possible unless the electric field strength exceeds Schwinger's threshold for pair production of 1.3*10^18 v/m (equation 359 in Dyson's http://arxiv.org/abs/quant-ph/0608140 and equation 8.20 in Luis Alvarez-Gaume, and Miguel A. Vazquez-Mozo's http://arxiv.org/abs/hep-th/0510040). If you check out renormalization in quantum field theory, this threshold is physically needed to explain the IR cutoff on the running coupling for electric charge. If the Schwinger threshold didn't exist, the running coupling or effective charge of an electron would continue to fall at low energy instead of becoming fixed at the known electron charge at low energies. This would occur because the vacuum virtual fermion pair production would continue to polarize around electrons even at very low energy (long distances) and would completely neutralize all electric charges, instead of leaving a constant residual charge at low energy that we observe.

Once you include this factor, Hawking's mechanism for radiation emission starts have a definite backreaction on the idea, and to modify his mathematical theory. E.g., pair production of virtual fermions can only occur where the electric field exceeds 1.3*10^18 v/m, which is not the whole of the vacuum but just a very small spherical volume around fermions!

This means that black holes can't radiate any Hawking radiation at all using Hawking's heuristic mechanism, unless the electric field strength at the black hole event horizon radius 2GM/c^2 is in excess of 1.3*10^18 volts/metre.

That requires the black hole to have a relatively large net electric charge. Personally, from this physics I'd say that black holes the size of those in the middle of the galaxy don't emit any Hawking radiation at all, because there's no mechanism for them to have acquired a massive net electric charge when they formed. They formed from stars which formed clouds of hydrogen produced in the big bang, and hydrogen is electrically neutral. Although stars give off charged radiations, they emit as much negative charge as electrons and negatively charged ions, as they emit positive charge such as protons and alpha particles. So there is no way they can accumulate a massive electric charge. (If they did start emitting more of one charge than another, as soon as a net electric charge developed, they'd attract back the particles whose emission had caused the net charge and the net charge would soon be neutralized again.)

So my argument physically from Schwinger's formula for pair production is that the supermassive black holes in the centres of galaxies have a neutral electric charge, have zero electric field strength at their event horizon radius, and thus have no pair-production there and so emit no Hawking radiation whatsoever.

The important place for Hawking radiations is the fundamental particle, because fermions have an electric charge and at the black hole radius of a fermion the electric field strength way exceeds the Schwinger threshold for pair production.

In fact, the electric charge of the fermionic black hole modifies Hawking's radiation, because it prejudices which of the virtual fermions near the event horizon will fall into. Because fermions are polarized in an electric field, the virtual positrons which form near the event horizon to a fermionic black hole will on average be closer to the black hole than the virtual electrons, so the virtual positrons will be more likely to fall in. This means that instead of virtual fermions of either electric charge sign falling at random into the black hole fermion, you instead get a bias in favour of virtual positrons and other virtual fermions of positive sign being more likely to fall into the black hole, and an excess of virtual electrons and other virtual negatively charged radiation escaping from the black hole event horizon. This means that a black hole electron will emit a stream of negatively charged radiation, and a black hole positron will emit a stream of positively charged radiation.

Although such radiation would appear to be massive fermions, because there is an exchange of such radiation in both directions simultaneously once an equilibrium of such radiation is set up in the universe (towards and away from the event horizon), the overlap of incoming and outgoing radiation will have some peculiar effects, turning the fermionic sub relativistic radiation into bosonic relativistic radiation.

The reason why a fermion differs from a boson is down to spin and can be grasped by the example of an electron and a positron annihilating into gamma rays and vice versa. When the fermionic 1/2-spins of an electron and positron are combined, you get bosonic 1-spin radiation. Physically what happens can be understood in terms of the magnetic field curls you get when electric charge propagates through space.

There is a backreaction effect called self-inductance which arises when an electric charge is accelerated. The magnetic field produces a force which opposes acceleration. The increased inertial mass can be considered an ellect of this. A massless charged radiation would have an infinite self-inductance, and wouldn't be able to propagate.

However, if you have two fermionic electric charges side by side, as in all examples of electricity, you get the emergence of a special phenomenon whereby energy propagates like bosonic radiation. E.g., the TEM wave logic step of electricity requires that you have two parallel conductors in a power 'transmission line'. At any moment where electric power is propagative, the electric charge in one conductor of the transmission line is opposite to that in the other conductor immediately adjacent. The mechanism for what happens is simply that the magnetic curl around the negative conductor is in the opposite direction to the magnetic curl of around the positive conductor, so that the superimposed curls cancel each other, cancelling out the magnetic inductance and therefore allowing electric power to cease behaving line sub-relativistic massive fermions and to instead behave as light velocity bosonic radiation: the electric light-velocity power transmission is a case of two oppositely charged fermions (one in each conductor) combining in such a way that together they behave as a boson for the purpose of allowing light velocity transmission of electric power. (This is clear to me from Catt's research in transmission lines, e.g. http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?arnumber=4039191.)

Other examples of this kind of superposition are well known. For example, superconductivity occurs for exactly the same reason, you get Cooper pairs of electrons forming which behave as photons. Generally, in condensed matter physics (low temperature phenomena generally) pairs of half integer spin fermions can associate to produce composite particles that have the properties of integer spin particles, bosons.

This is the mechanism by which Hawking gauge theory exchange radiations, while overlapping in space in the process of going to and coming from the event horizons of black holes, behave as bosons rather than as fermions.

The diagram here: http://nige.files.wordpress.com/2007/05/fig5.jpg?w=702&h=1065 shows in terms of electromagnetic field strengths the difference between Maxwell's imaginary photon, the real transverse path integral-suggested photon of QED, and the exchange radiation composed of two fermion-like charges superimposed which occurs in the case of both light-velocity electricity power transmission and the exchange of Hawking radiation I've described above.

The diagram here: http://nige.files.wordpress.com/2007/05/fig4.jpg?w=505&h=548 shows how all the long-range forces (gravity and electromagnetism) arise physically from exchange radiations. E.g., why universal attraction comes from gravity, why like charges repel and unlike charges attract with the same force for unit charges as the repulsion of like charges. My current effort to distinguish what is correct from what is incorrect in quantum field theory is site, including calculations for quantum gravity. However, it's again in need of rewriting, updating and improving. (It's just as well that virtually everybody is negative about it, because if there was a fanfare of interest I'd probably soon be locked down to the theory in a particular state, and unable to keep reformulating it, finding out new details and problems and tackling them in my leisure time. It would be more stressful to have to work full-time on this. I'm developing an SQL database and ASP website at the moment, which is a welcome change from this crazy-looking but factually surprisingly solid physics.)

7:24 AM  
Blogger L. Riofrio said...

For nige: Thanks for another long and thoughtful post. You are right that many mechanisms, in addition to the usual Hawking process, could produce Black Hole radiation.I hope your work on gauge theory mechanisms gets wider exposure.

I still like your post that "the equation" can be derived by equation rest energy with gravitational potential, GMm/r = mc^2. Add a little R = ct, and we get GM = tc^3.

6:17 AM  

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