This paragraph is for those who think “Dark Matter, DM, does not exist.” - Skip it you know DM does exist. If you repudiate DM, please explain the following OBSERVATION, or keep your OPINION private. Dark matter is postulated to exist, mainly because the observed orbital speed of stars around the galactic centers is too high to be explained by gravity from the visible matter interior to their orbits. I.e. something unseen is supplying most of the centripetal force causing them to orbit as they do.
The question in discussion is: What is DM?
I will try to defend the idea that DM is highly concentrated discrete masses, roughly point masses of a few solar masses at most, perhaps less than one solar mass, but large compared to planets like Jupiter. One standard, or at least a common, reason for rejecting this idea about the nature of DM is that there does not seem to be any origin for DM in this mass range. So I will first address that objection first:
(1) How could there be many “solar size” Black Holes?
Later, if I can at least make it plausible that there is a potential for such DM to be created (from stars) I will address the question as to why it is not seen (via optical lensing, “micro-quasar” effects, etc.).
In early universe, quarks first began to form and then stable matter, and then small “Primordial Black Holes” PBMs, also probably formed (perhaps magnetic monopoles also). It is at least conceivable that some PBMs may have been in “clouds” dense enough to not have evaporated away by now. (I.e. they “ate matter” more rapidly than they were losing it via Hawking radiation.); however, I will let others, if they care, argue for this source of the current ‘solar size” DM. ( I sometimes argue for black holes being formed from monopoles, but not here.)
I will base my argument for the existence of “solar size” DM on the death processes of large Generation III stars, which typically had 200 +/- 100 solar masses.
Standard calculation / analysis of the death of these stars ALWAYS assumes spherical symmetry, and concludes that these massive stars all terminated in single black holes, with masses of at least 5 solar masses, when their cores became mainly iron and they collapsed in supernovas events. Observational evidence violently disagrees with this assumption of spherical symmetry. - Almost everything from the relatively small Crab nebula to the repeatedly exploding Eta Carinae, (One of the few 100 to 150 solar masses star still known and close enough to resolve its structure well.) indicate this assumption is false. For example, see:
(Pete will soon insert a photo of an exploding star here for me, as I can not do so, and remove this line.)
What should one expect to be a more accurate model of the death of a large star when it is making iron in the central region? Answer:
The last iron forming stage of fusion requires enormous temperatures and still only the extreme “tail of the velocity distribution” can make collisions that lead to iron. Thus the rate of fusion formation of iron is very strongly dependant upon the local temperature and only depends quadratic on the density of the particles which will fuse to form the iron. At least crudely, if not exactly, the product of T, the local temperature, and D, the local density is proportional to the local pressure, P. Surely P( r), where r is the radial distance from the center of mass is a monotonically decreasing function of r, but that does not require that T always be. (To keep the explanation of the idea clear, I ignore that D = D1, +D2 + Di +… where even here only the three most important components for the fusion are explicit. Di is the density of the iron ions and perhaps the dominate “fuels“, D1 and D2, are the same ions. )
Because the temperature is so high, the magnitude of the relative small statistical temperature fluctuations are not negligible, especially in view of the strong dependency of the fusion rate upon temperature. I.e. some small region near, but not at the exact mass center of the star, is likely to be making iron more rapidly than at the exact mass center of the star. This slightly higher fusion rate, at r = a > 0, (only at some latitude and longitude, of course, but I avoid giving these coordinates.) initiates a self-accelerating thermal instability. I.e. any small volume, statistically hotter than average for that radius spot, will rapidly become much hotter and produce iron more rapidly despite the constantly falling D which keeps P(a) at that spot equal to P(a) at other colder spots, equally distant from the mass center. Note also that R >> a, were R is the full stellar radius. I.e. a is not far from the mass center, but not normally exactly at it.
Once the thermal instability at a is well developed, the temperatures, in this “hot spot” is higher than at the mass center and the dominate mode of energy transfer out of this hot spot is radiation, not conduction. The radiation pressure is likely to be a significant part of P(a). (Just guessing as I have no data.) Perhaps the best way to think of this “thermal runaway region” is a radiation filled bubble of relatively low mass density when the formation of iron abruptly terminates for lack of “fuel ion” density.
Without the constant fusion release of energy, the expanding radiation sphere, will quickly cool and the relative high mass density region just outside the “radiation bubble” will begin a radial collapse towards the off mass center point at a, where the first black hole will form. This rapid release of gravitational energy with the formation of black hole, not exactly at the mass center, will send a very powerful compressive shock wave into all near by parts of the star, including a front compressing the already much higher density region r < a. Even if these more central and denser regions were not yet quite ready to make black holes they will be “pushed over the edge” by the compression shock and more black holes will form, each generating additional compressive shock waves. When some of these "secondary shocks" collide, compressing even regions that were not close to the density required for forming a black hole, especially if compressing "from both sides," these regions too may form "tertiary black holes" and more shocks. - Sort of a chain reaction forming a multitiude of "solar size" black holes, all being hurled into space along with a great mass of very hot gases, which may even reform a lessor star and form a few more "solar size" black holes, much later.
SUMMARY: In essence, it seems plausible that the lack of the spherically symmetric collapse onto the mass center ASSUMED by the standard analysis, despite all the observational evidence that the collapse is not spherically symmetric, can give birth to a multitude of smaller “solar size” black holes, not the single big monster black hole the standard calculations predict for the collapse of a typical generation III star.
Please comment.
Does this seem possible? Probable? Etc. Can you fill in some details more quantatively? (I think I can do some what better in modeling the radial temperature and densities, prior to the start of the self-accelerating “thermal instability,” which is my central idea, based on my knowledge of how the fusion rate does depend strongly on temperature and only quadratically on fuel ion density, if any one needs these details.)
The question in discussion is: What is DM?
I will try to defend the idea that DM is highly concentrated discrete masses, roughly point masses of a few solar masses at most, perhaps less than one solar mass, but large compared to planets like Jupiter. One standard, or at least a common, reason for rejecting this idea about the nature of DM is that there does not seem to be any origin for DM in this mass range. So I will first address that objection first:
(1) How could there be many “solar size” Black Holes?
Later, if I can at least make it plausible that there is a potential for such DM to be created (from stars) I will address the question as to why it is not seen (via optical lensing, “micro-quasar” effects, etc.).
In early universe, quarks first began to form and then stable matter, and then small “Primordial Black Holes” PBMs, also probably formed (perhaps magnetic monopoles also). It is at least conceivable that some PBMs may have been in “clouds” dense enough to not have evaporated away by now. (I.e. they “ate matter” more rapidly than they were losing it via Hawking radiation.); however, I will let others, if they care, argue for this source of the current ‘solar size” DM. ( I sometimes argue for black holes being formed from monopoles, but not here.)
I will base my argument for the existence of “solar size” DM on the death processes of large Generation III stars, which typically had 200 +/- 100 solar masses.
Standard calculation / analysis of the death of these stars ALWAYS assumes spherical symmetry, and concludes that these massive stars all terminated in single black holes, with masses of at least 5 solar masses, when their cores became mainly iron and they collapsed in supernovas events. Observational evidence violently disagrees with this assumption of spherical symmetry. - Almost everything from the relatively small Crab nebula to the repeatedly exploding Eta Carinae, (One of the few 100 to 150 solar masses star still known and close enough to resolve its structure well.) indicate this assumption is false. For example, see:
(Pete will soon insert a photo of an exploding star here for me, as I can not do so, and remove this line.)
What should one expect to be a more accurate model of the death of a large star when it is making iron in the central region? Answer:
The last iron forming stage of fusion requires enormous temperatures and still only the extreme “tail of the velocity distribution” can make collisions that lead to iron. Thus the rate of fusion formation of iron is very strongly dependant upon the local temperature and only depends quadratic on the density of the particles which will fuse to form the iron. At least crudely, if not exactly, the product of T, the local temperature, and D, the local density is proportional to the local pressure, P. Surely P( r), where r is the radial distance from the center of mass is a monotonically decreasing function of r, but that does not require that T always be. (To keep the explanation of the idea clear, I ignore that D = D1, +D2 + Di +… where even here only the three most important components for the fusion are explicit. Di is the density of the iron ions and perhaps the dominate “fuels“, D1 and D2, are the same ions. )
Because the temperature is so high, the magnitude of the relative small statistical temperature fluctuations are not negligible, especially in view of the strong dependency of the fusion rate upon temperature. I.e. some small region near, but not at the exact mass center of the star, is likely to be making iron more rapidly than at the exact mass center of the star. This slightly higher fusion rate, at r = a > 0, (only at some latitude and longitude, of course, but I avoid giving these coordinates.) initiates a self-accelerating thermal instability. I.e. any small volume, statistically hotter than average for that radius spot, will rapidly become much hotter and produce iron more rapidly despite the constantly falling D which keeps P(a) at that spot equal to P(a) at other colder spots, equally distant from the mass center. Note also that R >> a, were R is the full stellar radius. I.e. a is not far from the mass center, but not normally exactly at it.
Once the thermal instability at a is well developed, the temperatures, in this “hot spot” is higher than at the mass center and the dominate mode of energy transfer out of this hot spot is radiation, not conduction. The radiation pressure is likely to be a significant part of P(a). (Just guessing as I have no data.) Perhaps the best way to think of this “thermal runaway region” is a radiation filled bubble of relatively low mass density when the formation of iron abruptly terminates for lack of “fuel ion” density.
Without the constant fusion release of energy, the expanding radiation sphere, will quickly cool and the relative high mass density region just outside the “radiation bubble” will begin a radial collapse towards the off mass center point at a, where the first black hole will form. This rapid release of gravitational energy with the formation of black hole, not exactly at the mass center, will send a very powerful compressive shock wave into all near by parts of the star, including a front compressing the already much higher density region r < a. Even if these more central and denser regions were not yet quite ready to make black holes they will be “pushed over the edge” by the compression shock and more black holes will form, each generating additional compressive shock waves. When some of these "secondary shocks" collide, compressing even regions that were not close to the density required for forming a black hole, especially if compressing "from both sides," these regions too may form "tertiary black holes" and more shocks. - Sort of a chain reaction forming a multitiude of "solar size" black holes, all being hurled into space along with a great mass of very hot gases, which may even reform a lessor star and form a few more "solar size" black holes, much later.
SUMMARY: In essence, it seems plausible that the lack of the spherically symmetric collapse onto the mass center ASSUMED by the standard analysis, despite all the observational evidence that the collapse is not spherically symmetric, can give birth to a multitude of smaller “solar size” black holes, not the single big monster black hole the standard calculations predict for the collapse of a typical generation III star.
Please comment.
Does this seem possible? Probable? Etc. Can you fill in some details more quantatively? (I think I can do some what better in modeling the radial temperature and densities, prior to the start of the self-accelerating “thermal instability,” which is my central idea, based on my knowledge of how the fusion rate does depend strongly on temperature and only quadratically on fuel ion density, if any one needs these details.)
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