Regardless of whether the density is uniform, the net gravitational acceleration at the center of the mass is zero (though the same point is under the highest pressure). The event horizon radius, even if internal to the mass, is still the region of maximum gravitational acceleration. That which is outside or inside this radius has a slower frame of reference. It is from the perspective of these frames of reference that the collapse would asymptotically slow to a halt.
Looks interesting, but if the reviews sum it up accurately (I haven't read the book), he seems to think that universe-formation is tied up with the singularity collapse. I don't think we need to reach that point, because the interior of a collapsing mass is under less gravitational acceleration than its radius (the first lemma of my own argument), and therefore collapse is halted from the perspective of the interior and exterior frames of reference as the escape velocity from the radius approaches the speed of light and becomes an event horizon.
I'm not stating a hypothesis as a fact, but I do think it is possible to explain the universe in terms of it being inside the radius of an event horizon.
I don't much like the term "black hole" anyhow, as the radius of maximum gravitation is necessarily at the event horizon itself, so the interior cannot be a singularity.
Consider a spherical mass of uniform density. If an observer stands at the surface, the gravitational vectors sum to a unit vector from surface to center. If the observer stands at the center of the mass, the gravitational vectors sum to zero (all vectors cancel). If the observer stands at any location in between the first and second position, the gravitational vectors can be given as two sums, zero (canceled) for an equidistant radius from the observer's position to the surface and towards the center, and a distance vector from the observer's position and the residual (uncanceled) mass.
The distance vector between the observer and the residual center of mass is constant at any point between the surface and the center of the mass. The residual mass decreases linearly as the observer descends towards the center. The gravitational force on the observer decreases linearly to zero over this domain. The radius of the sphere is the radius of maximum gravitation.
Gravitational force may cause the radius of the sphere to contract. As the radius shrinks, it approaches the center of mass and therefore increases the gravitational force upon an observer standing at the radius as the inverse square of the change in radius until it relativistically approaches a point at which escape velocity equals the speed of light. To an external observer, the radius will seem to shrink more and more slowly until it seems to stop as it approaches this point. Likewise for the internal observer, but neither mass nor energy can now escape from inside the radius to the outside, so we cannot communicate with him unless we shift our perspective to his.
Staying with our external perspective for the moment, however, we can measure the gravitational force at some distance from the radius, and observe how it acts upon other masses. Nearby matter may get swept into this gravity well, adding to the total mass of our system and increasing its externally determinable radius. But by appearing to slow down and stop at a radius greater than that of our original mass, it would not seem to reach the original radius at all.
Now let's depart our external universe and try to figure out what's going on with our inside observer. First of all, he's not seeing any in-falling matter because his frame of reference is also much slower than that of the radius, in fact he'd have to wait infinitely long before anything like that would happen, so let's just say it doesn't. But that doesn't mean that he cannot observe any effects at all.
What our man on the inside discovers is that there is intense energy, in the form of pressure, being applied to his little micro-universe. This pressure continues to build and build, charging our little spherical mass like a battery, until maximum energy density is reached. But the pressure continues, so the mass does what it has to do, it inflates.
Our mass isn't just expanding in space; it is expanding "space." As pressure energy continues to pour in, the inflation continues until certain physical properties of matter and energy begin to assert themselves; and the inflation proceeds outwards and away from the original mass -- into the new universe.
This is one possible explanation of how our universe may have begun. In searching for evidence of such a hypothesis, one might hope to find some sort of inflationary pressure which seems to operate against gravity. Since this "dark energy" seems probably, this may be a feasible cosmology.
It would be a nonsensical purchase, kind of like if a hardware company (VA Linux) bought a glorified weblog (Andover). Good way to tank your stock, anyhow.
Okay, let's consider an analog data compression technique using a single analog dial and a bitwise (digital) encoder taking single bits with unchanging probability 50% for either 0 or 1 (a fair coin flip).
Now let's represent an 8 bit value (eight flips) with the sequence 11010110, rotate dial right 50%, right 25%, left 12.5%, right 6.25%, left 3.125%, right 1.5625%, right 0.78125%, left 0.390625%. The position of the dial now gives the PRECISE value of the information. This could equally well be represented digitally by an eight-bit byte.
HOWEVER, the dial, being analog, can keep going... assuming it has no rigidity and can continue to make ever finer adjustments. A sixteen bit value still can be represented by the same dial, so can a 64Kbit value, or a 1024Mbit value. One dial.
Many years ago, back in the days of MFM and RLL hard drive controllers, I got a really cool device by a company called Perstor which would take any MFM drive and convert it to ARLL, yielding a huge size increase of about 90%. So I put in a shiny new 40 MB (yep, megabytes in those days) and got 76 MB of capacity. Whee!
Then the CONTROLLER failed. The drive itself was fine. But Perstor, in the meantime, had gone out of business. Bye bye data.
Dunno what mental disease(s) you have been diagnosed with, so I can't be especially helpful. Neuronopathic Gaucher is partially treatable with anticonvulsants, along with the standard glucocerebrosidase. Among Ashkenazi, Gaucher is the most common genetic condition, but usually (75% of cases) homozygote n370s/n370s which is always Type 1 non-neuronopathic. Type 3 is usually associated with a non-Ashkenazic population homozygote l444p. It is only in the past few years that the 84gg mutation has been significantly studied on its own, though it has always been known to be more serious than n370s.
Me: Ashkenazi, with compound (n370s/84gg) heterozygous Gaucher, severe Type 1 possibly Type 3 (i.e., neuronopathic), possibly now causing dementia and other symptomology in my early/mid 30s. Measurable intelligence off the map.
Even "recessive" heterozygous 84gg has recently been tied to parkinsonism. Homozygous 84gg is not found at all, presumably miscarries.
This is actually a fantastic opportunity for the movie industry, if they embrace it rather than trying to demonize the protocol. Remember, folks, Bittorrent is just a tool for content delivery, and the direct-to-home video market is huge (i.e., Netflix).
Bittorrent trackers can be configured to serve content only to authorized subscribers. Delivering high quality releases over the net from the source is something that would have a huge market potential, but would place nearly impossible bandwidth demands on the content server were it not for the distributed nature of the protocol.
I can also see this as being something that companies like HBO with their huge catalog of movies could make available online on-demand, just as they do over digital cable today.
I thought the original post was pretty insulting, and probably just an example of someone projecting their own lack of social experience upon others he doesn't know anything about.
I knew and dated Sarah personally, though it was quite a long time ago. So she's a girl who's had boyfriends, too.
Technological shifts have a profound impact on what and how we communicate. Radio killed the recording star. Video killed the radio star. Internet killed the video star. And so it goes.
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Regardless of whether the density is uniform, the net gravitational acceleration at the center of the mass is zero (though the same point is under the highest pressure). The event horizon radius, even if internal to the mass, is still the region of maximum gravitational acceleration. That which is outside or inside this radius has a slower frame of reference. It is from the perspective of these frames of reference that the collapse would asymptotically slow to a halt.
I suspect that the efficiency of electrical resistance heating is lost to radiated environmental heat.
Looks interesting, but if the reviews sum it up accurately (I haven't read the book), he seems to think that universe-formation is tied up with the singularity collapse. I don't think we need to reach that point, because the interior of a collapsing mass is under less gravitational acceleration than its radius (the first lemma of my own argument), and therefore collapse is halted from the perspective of the interior and exterior frames of reference as the escape velocity from the radius approaches the speed of light and becomes an event horizon.
So you are saying the universe is both steady-state (no big bang or inflation) and expanding?
If the universe is expanding, then yes. Without a center/radius, expansion is meaningless.
I wish I had a prize to give you.
Oh well, now maybe I need to ask for some help well-ordering my socks.
It's tortoises all the way down, don't you know?
I'm not stating a hypothesis as a fact, but I do think it is possible to explain the universe in terms of it being inside the radius of an event horizon.
I don't much like the term "black hole" anyhow, as the radius of maximum gravitation is necessarily at the event horizon itself, so the interior cannot be a singularity.
It's something I wrote last year, actually.
Consider a spherical mass of uniform density. If an observer stands at the surface, the gravitational vectors sum to a unit vector from surface to center. If the observer stands at the center of the mass, the gravitational vectors sum to zero (all vectors cancel). If the observer stands at any location in between the first and second position, the gravitational vectors can be given as two sums, zero (canceled) for an equidistant radius from the observer's position to the surface and towards the center, and a distance vector from the observer's position and the residual (uncanceled) mass.
The distance vector between the observer and the residual center of mass is constant at any point between the surface and the center of the mass. The residual mass decreases linearly as the observer descends towards the center. The gravitational force on the observer decreases linearly to zero over this domain. The radius of the sphere is the radius of maximum gravitation.
Gravitational force may cause the radius of the sphere to contract. As the radius shrinks, it approaches the center of mass and therefore increases the gravitational force upon an observer standing at the radius as the inverse square of the change in radius until it relativistically approaches a point at which escape velocity equals the speed of light. To an external observer, the radius will seem to shrink more and more slowly until it seems to stop as it approaches this point. Likewise for the internal observer, but neither mass nor energy can now escape from inside the radius to the outside, so we cannot communicate with him unless we shift our perspective to his.
Staying with our external perspective for the moment, however, we can measure the gravitational force at some distance from the radius, and observe how it acts upon other masses. Nearby matter may get swept into this gravity well, adding to the total mass of our system and increasing its externally determinable radius. But by appearing to slow down and stop at a radius greater than that of our original mass, it would not seem to reach the original radius at all.
Now let's depart our external universe and try to figure out what's going on with our inside observer. First of all, he's not seeing any in-falling matter because his frame of reference is also much slower than that of the radius, in fact he'd have to wait infinitely long before anything like that would happen, so let's just say it doesn't. But that doesn't mean that he cannot observe any effects at all.
What our man on the inside discovers is that there is intense energy, in the form of pressure, being applied to his little micro-universe. This pressure continues to build and build, charging our little spherical mass like a battery, until maximum energy density is reached. But the pressure continues, so the mass does what it has to do, it inflates.
Our mass isn't just expanding in space; it is expanding "space." As pressure energy continues to pour in, the inflation continues until certain physical properties of matter and energy begin to assert themselves; and the inflation proceeds outwards and away from the original mass -- into the new universe.
This is one possible explanation of how our universe may have begun. In searching for evidence of such a hypothesis, one might hope to find some sort of inflationary pressure which seems to operate against gravity. Since this "dark energy" seems probably, this may be a feasible cosmology.
It would be a nonsensical purchase, kind of like if a hardware company (VA Linux) bought a glorified weblog (Andover). Good way to tank your stock, anyhow.
Isn't he the guy that wrote the book, "The Big Bang Never Happened"?
The Neuros II plays OGG Vorbis just fine, and is open source.
Okay, let's consider an analog data compression technique using a single analog dial and a bitwise (digital) encoder taking single bits with unchanging probability 50% for either 0 or 1 (a fair coin flip).
Now let's represent an 8 bit value (eight flips) with the sequence 11010110, rotate dial right 50%, right 25%, left 12.5%, right 6.25%, left 3.125%, right 1.5625%, right 0.78125%, left 0.390625%. The position of the dial now gives the PRECISE value of the information. This could equally well be represented digitally by an eight-bit byte.
HOWEVER, the dial, being analog, can keep going... assuming it has no rigidity and can continue to make ever finer adjustments. A sixteen bit value still can be represented by the same dial, so can a 64Kbit value, or a 1024Mbit value. One dial.
Digital circuits cannot do this.
Many years ago, back in the days of MFM and RLL hard drive controllers, I got a really cool device by a company called Perstor which would take any MFM drive and convert it to ARLL, yielding a huge size increase of about 90%. So I put in a shiny new 40 MB (yep, megabytes in those days) and got 76 MB of capacity. Whee!
Then the CONTROLLER failed. The drive itself was fine. But Perstor, in the meantime, had gone out of business. Bye bye data.
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Dunno what mental disease(s) you have been diagnosed with, so I can't be especially helpful. Neuronopathic Gaucher is partially treatable with anticonvulsants, along with the standard glucocerebrosidase. Among Ashkenazi, Gaucher is the most common genetic condition, but usually (75% of cases) homozygote n370s/n370s which is always Type 1 non-neuronopathic. Type 3 is usually associated with a non-Ashkenazic population homozygote l444p. It is only in the past few years that the 84gg mutation has been significantly studied on its own, though it has always been known to be more serious than n370s.
Piracetam (Nootropil) is most helpful.
Me: Ashkenazi, with compound (n370s/84gg) heterozygous Gaucher, severe Type 1 possibly Type 3 (i.e., neuronopathic), possibly now causing dementia and other symptomology in my early/mid 30s. Measurable intelligence off the map.
Even "recessive" heterozygous 84gg has recently been tied to parkinsonism. Homozygous 84gg is not found at all, presumably miscarries.
This is actually a fantastic opportunity for the movie industry, if they embrace it rather than trying to demonize the protocol. Remember, folks, Bittorrent is just a tool for content delivery, and the direct-to-home video market is huge (i.e., Netflix).
Bittorrent trackers can be configured to serve content only to authorized subscribers. Delivering high quality releases over the net from the source is something that would have a huge market potential, but would place nearly impossible bandwidth demands on the content server were it not for the distributed nature of the protocol.
I can also see this as being something that companies like HBO with their huge catalog of movies could make available online on-demand, just as they do over digital cable today.
I thought the original post was pretty insulting, and probably just an example of someone projecting their own lack of social experience upon others he doesn't know anything about.
I knew and dated Sarah personally, though it was quite a long time ago. So she's a girl who's had boyfriends, too.
Unfortunately, it appears that the guys with girlfriends will have the last laugh as the Chinese Theater isn't even premiering the film.
As it turns out, the spokesperson quoted in TFA for the group waiting in line at the Chinese Theater *is* my ex-girlfriend!
I hope she's doing well. We haven't talked to one another in a very long time, although I've since been happily married myself.
How about Natalie Portman, naked and petrified, with hot grits...in Japan?
Let's see. I have about 60GB of MP3 and OGG music in my collection. And I love just about every single album. But I take collecting seriously!
Technological shifts have a profound impact on what and how we communicate. Radio killed the recording star. Video killed the radio star. Internet killed the video star. And so it goes.