|
| If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. |
|
|||||||
| Register | FAQ | Members List | Calendar | Mark Forums Read |
![]() |
|
|
LinkBack (4) | Thread Tools | Search this Thread | Display Modes |
|
|||
|
Quote:
Quote:
![]() Quote:
|
|
|||
|
OK, I did some calculations and came up with some interesting results. According to my theory, you have to take into account the random, thermal movement of atoms when the mBH is at rest with respect to the center of the Earth. So modifying Casadio et al.'s formula dM/dt = π*v*ρ*R2 to:
dM/dt = 4*π*v*ρ*R2 since the mBH will have molecules vibrating at it coming from all directions, we have to use the area of a sphere, rather than the cross-section, to calculate the accretion rate. Now, going off of Casadio et al.'s (CFH) Table II, for the values Mc (the critical mass an mBH needs to go 4-D--I think) = 106 kg and 107 kg(the second and third lines, respectively). The chart shows the maximum masses mBH's would have under CHF's theory for various values of Mc, along with other parameters like the effective capture radius (REM). Thus, one can calculate roughly the evaporation rate by dividing the maximum mass by the life expectancy. I can now calculate the accretion rate, where I assume v (the average thermal velocity of the surrounding iron atoms) = 2500 m s-1 and ρ = 13,000 kg m-3 (R = 1.6 x 10-16 m and 2 x 10-15 m, respectively): Code:
for Mc = 106, the evaporation rate is 2.9 x 10-21 kg s-1 for Mc = 106, the accretion rate is 1.6 x 10-22 kg s-1 for Mc = 107, the evaporation rate is 2.7 x 10-22 kg s-1 for Mc = 107, the accretion rate is 1.6 x 10-21 kg s-1 ![]() |
|
||||
|
Nice calculations! However I still need to point out, that you cannot discount that an atomic sized black hole would aquire it's own electron shell. As soon as it does this, it pushes other matter away from itself, the same way regular matter does.
This is what is not being accounted for.
__________________
There is no problem that cannot be solved by a suitable application of high explosives - US Army Demolitions School I just saw Hayley's comet, she waved, Said "why you always running in place? Even the man in the moon disappeared, Somewhere in the stratosphere" - Shinedown http://worldsofothersuns.home.comcast.net/ |
|
||||
|
I don't disagree, I just don't know. But, if that happens, it is even less of a problem.
By the way, the idea of black hole "atoms" is pretty cool. If you can put electron shells around BH nuclei, you could do BH chemistry, make BH compounds, etc.
__________________
At night the stars put on a show for free (Carole King) One Earth, One Sky - IYA 2009 All moderation in purple |
|
||||
|
Well my reply was directed at Warren specifically, not you Swift.
But yes, it would make it even harder for an atom sized Black Hole to grow. Trillions of years instead of billions. Basicaly I thought it 20 ways till sundown, but there is nothing to prevent a mini BH from aquiring an electron shell. Soon as it does, it starts behaving like a proper atoms. Only real difference is that the BH holds onto the electrons via gravity alone, instead of the proton's positive charge and the necleous' gravity. Other then that a mini BH would basically behave as a sort of necleous without any charge.
__________________
There is no problem that cannot be solved by a suitable application of high explosives - US Army Demolitions School I just saw Hayley's comet, she waved, Said "why you always running in place? Even the man in the moon disappeared, Somewhere in the stratosphere" - Shinedown http://worldsofothersuns.home.comcast.net/ |
|
||||
|
I thought that black holes could have a charge. If one did, and it had a positive charge, wouldn't quantum mechanics start to apply too?
__________________
At night the stars put on a show for free (Carole King) One Earth, One Sky - IYA 2009 All moderation in purple |
|
|||
|
Quote:
B. Any acquired positive charge would be discharged instantly through Schwinger radiation. Your proposal is interesting and creative, but I don't think it could get off the ground without a positive charge to the mBH. |
|
||||
|
Quote:
Quote:
But the point I was making was not proposing a new form of BH matter, but that a sub automic sized BH, would be constrained by quantum interactions, and not normal interactions. And that this was missing from those peoples considerations, and it shouldn't be. But it looks like you undid your own concerns about fast mini BH growth with good math, so probably this point is now moot.
__________________
There is no problem that cannot be solved by a suitable application of high explosives - US Army Demolitions School I just saw Hayley's comet, she waved, Said "why you always running in place? Even the man in the moon disappeared, Somewhere in the stratosphere" - Shinedown http://worldsofothersuns.home.comcast.net/ |
|
||||
|
Quote:
Quote:
__________________
At night the stars put on a show for free (Carole King) One Earth, One Sky - IYA 2009 All moderation in purple |
|
|||
|
Quote:
dM/dt = 4 * π* v * ρ * R2 where R is the effective capture radius of the black hole. Thus mass as a function of time would be M = (dM/dt) * t Now the 4 * π* v * ρ part of the equation doesn't change under my scenario, so we can regard it as a constant for our present purposes. Cw = 4 * π* v * ρ = 4.08 x 108 kg m-2 s-1 where v = 2,500 m s-1 and ρ = 13,000 kg m-3. First I solve for CFH's equation (23) substituting the atomic mass of iron atoms (9.27 x 10-26 kg each), since in my scenario the mBH will be trapped in the Earth's core somewhere. Then I solve for eq. (22), which I then use to obtain the constant Cem in equation (24) (R = Cem * M1/4), deriving a value of Cem = 2.89 x 10-8 m. Now for a little algebra: M = (dM/dt) * t M = (CwR2) * t M = Cw * (Cem * M1/4)2 * t M = Cw * Cem2 * M1/2 * t M * M-1/2 = Cw * Cem2 * t M1/2 = Cw * Cem2 * t M = Cw2 * Cem4 * t2 M = 1.16 x 10 -13 * t2 t = (M / 1.16 x 10-13)1/2 Now, according CFH, the mBH will start evolving on a 4-D basis when it reaches a mass on the order of kilograms. Thus setting M = 1 kg, then it would take 2.9 x 106 s (< 1 month) to achieve a mass of 1 kg. If we go with an Mc of 107 kg, then it would take 9.3 x 109 s to achieve Mc. That's about 300 years. Of course we'll all be dead in half that time. So what's the problem? CAVEAT: According to Ord et al. there is a 1 in 1,000 chance that I made an error in my calculations above! ![]() |
|
||||
|
Warren, Problems I see with equasions as you presented them.
There is no Accounting of Gravity, Distance, and atom motions all of which are likely to prevent atoms from even impacting or getting close the the black hole. Your equasions seem to assume that all matter that is close will be pulled in and absorbed. That isn't the case at the atomic/quantum level. There is no Accounting for Objects in the process of being captured, from preventing other objects from getting close. Atom1, in a death spiral into BH, still has electron shell, which deflects atom 2 away from itself and the BH. Overall the equasions need to be reworked to account for the Probability of atom-atom collisions based on temperature first, (modified to remove the electron shell repulsion of normal matter) Once you have the probibility of collision (Pc) at temp t, over time T, then you can work this into your existing equasions. However you'll likely get a result more in line with billions or trillions of years, unless the BH mass starts out as a few kg's. This is what I meant before about accouting for quantum interactions. Those are all probibility based, and the person writing that paper is totaly ignoring them. Which you can't. If something is as small, (or Smaller) then an atom, then quantum rules always apply. Even to Black Holes. Which means the absorbsion rates will be based on the result of probibility of a collision over some time first. Not to mention a whole slew of motion, charge, and other force interactions not accounted for in his paper.
__________________
There is no problem that cannot be solved by a suitable application of high explosives - US Army Demolitions School I just saw Hayley's comet, she waved, Said "why you always running in place? Even the man in the moon disappeared, Somewhere in the stratosphere" - Shinedown http://worldsofothersuns.home.comcast.net/ |
|
|||
|
Quote:
Quote:
ETA: the one thing that would inhibit the influx of matter would be the radiation released by matter as it gets sucked into the mBH. This is the Eddington limited scenario, which has it's own problems. Quote:
Last edited by Warren Platts; 03-February-2009 at 10:18 PM.. |
|
||||
|
the probability that a surrounding atom will run into the mBH within 1 second is 1. It's like being an asteroid in a solar system where all the objects don't obey Newton's laws, but instead move around chaotically at 1015c (c =the speed of light).
I think there is a problem here, even particles undergoing fusion in the sun are no where near moving at a relativistic speed of 1015c. Referensing the correct Temerature to Motion fomula found here Where kb = 6504*10-023 T = 7000Kelvin m = 9.4*10-026 (mass of iron atom in kg) Solves to v~ = 69594.57 Vel = 120541.33 m/s 120541.33 m/s is a heck of a lot different from 299792458000000000000000 m/s (1015c) Conversley at the corrected average velosity, it all calulates out to take 746,115,342,900,001,000,000 years for a 1 iron atom massed BH to reach a problematic mass.
__________________
There is no problem that cannot be solved by a suitable application of high explosives - US Army Demolitions School I just saw Hayley's comet, she waved, Said "why you always running in place? Even the man in the moon disappeared, Somewhere in the stratosphere" - Shinedown http://worldsofothersuns.home.comcast.net/ |
|
|||
|
No, No. You completely misunderstood me. My fault I'm sure. My point was that the picture we get of these mBH's is like they're this tiny asteroid lost in a vast solar system where they are surrounded by stately moving giants. Sure collisions happen, but not very often. But if the planets were not bound by the speed of light and Newton's laws and instead moved chaotically many times the speed of light, then the collision rate would go up. This is sort of like the situation an mBH faces when inside the center of the Earth, except that nothing moves relativistically. I was just trying to create a visual explanation. Forget I said it.
As for your velocity calculation, I think kB should be 1.38 x 10-23 J K-1. Also I think you also may have forgot to take the square root. I recalculated the mean speed, and got a value of 1.7 km s-1 (see footnote 16, I had to multiply by 31/2 to get the right speed--only a factor of 3/2 difference from my first estimate, which means I was in the right order of magnitude ball park. So my conclusions still stand. I think. ![]() Tomorrow, I'll try and calculate the minimum effective speed below which evaporation dominates accretion. |
|
|||
|
Quote:
![]() |
|
||||
|
Warren, I find it rather disingenuous that you seem (again) to reject (or accept) Hawking radiation based on how it affects your pet scenario.
__________________
Never attribute to malice what can be adequately explained by ignorance or stupidity. Isaac Asimov |
|
|||
|
The formula for total growth is dM/dt = dM/dtevap + dM/dtaccr. So it simplifies things to focus on one side of the equation. But I make no bones that assuming of the failure of Hawking radiation is ad hoc goes against the mainstream thinking in quantum mechanics, requiring as it does the existence of some sort of heretofore unknown persistence mechanism. Meanwhile, I'm still working on the Hawking radiation part. I would like to come up with a real mathematical model that showed both parts. I also just received an email from Ben Harms. He said that they are working on a revised version of the paper that will even more tightly constrain 5-D mBH evaporation and accretion.
|
|
||||
|
Quote:
__________________
All Moderation in Purple To report a post (even this one) to the moderation team, click the reporting icon in the upper-right corner of the post: ───────────────────────────────────────────── ◄Rules For Posting To This Board ► ◄Forum FAQs ► ◄ Conspiracy Theory Advice ► ◄ Alternate Theory Advice ► |
|
||||
|
ok misread it
![]()
__________________
All Moderation in Purple To report a post (even this one) to the moderation team, click the reporting icon in the upper-right corner of the post: ───────────────────────────────────────────── ◄Rules For Posting To This Board ► ◄Forum FAQs ► ◄ Conspiracy Theory Advice ► ◄ Alternate Theory Advice ► |
|
||||
|
Just came across this:
http://www.lhcdefense.org/index.php Quote:
__________________
______________________________________________ “He who asks a question is a fool for five minutes; he who does not ask a question remains a fool forever” Chinese proverb "All you need in this life is ignorance and confidence - and then success is sure." - Mark Twain. |
|
||||
|
Interesting. I have an e-mail in to them. We'll see how it goes.
__________________
I'm like one of those idiot savants...well, except for the savant part. "In order to increase awareness of the homeless, security have been given binoculars." |
|
|||
|
I have to ask just what safety tests they propose running? Its been proven that less powerful colliders won't destroy the planet (given that we have been running them for years) the only test I can think of is slowly ramping up the power level looking for signs of potentially dangerous stuff, which is IIRC not much different from the planned initial operation of the LHC.
__________________
"Any Sufficiently Analyzed Magic is Indistinguishable from SCIENCE!" -Agatha Heterodyne "Any technology, no matter how primitive, is magic to those who don't understand it." -Florence Ambrose |
|
||||
|
Well, they haven't answered my e-mail yet, but admittedly it's only been a day. I'll re-querry tomorrow if I still haven't heard anything -- my initial questions were easy answer, not pointed, inquires. If they can't answer them, that tells me a lot about the organization itself. I'll post when I have more info.
__________________
I'm like one of those idiot savants...well, except for the savant part. "In order to increase awareness of the homeless, security have been given binoculars." |
|
||||
|
Of course, somebody had to do an April Fool's Day spoof on this:
http://www.thetechherald.com/article...adron-Collider The sad thing is seeing some of the comments of people who didn't find it funny because they took it seriously. *sigh*
__________________
I say there is an invisible elf in my backyard. How do you prove that I am wrong? Disclaimer: Avatar is not an official NASA image and does not imply any specific interplanetary or interstellar capability. The Leif Ericson Cruiser |
|
|||
|
I've done some more research. Actually, under CFH's formalism, it is logically impossible for mBH's to grow exponentially out of control. Moreover, their dM/dt|accr depends on the velocity v of the mBH--as it goes to zero, so does the accretion rate, and so the mBH evaporates away. At first the world was dismayed that such mBH's could last for several seconds or minutes. However, this result was because CFH did their calculations using metric units, rather than natural, Planck units; they used Planck units in their v2, and so their persistance times were back down to well under 1 second.
However, CFH don't take into account the thermal velocity of atoms in the surrounding medium. Even if the mBH is at rest with respect to the the Earth as a whole, the atoms surrounding the mBH are constantly vibrating on a velocity scale on the order of the speed of sound (cs). Thus taking Giddings and Mangano's forumla 4-31 as the new dM/dt|accr that takes over once the velocity of the mBH declines sufficiently, it is easy to see that a dynamic equilibrium will be set up and the mBH will neither grow nor shrink, and will persist indefinitely. G&M's formula: dM/dt|accr = λ * ∏ * Rem2 * cs * ρ Where λ can vary according to the dimension, and Rem = Cem * M1/4 (CFH eq. 23) (For the purposes of calculations below I just assume that λ = 4 so that it is just the ordinary formula for the area of a sphere, and ρ is the density of the surrounding medium. Rem is the effective capture radius of the mBH.) Meanwhile, CFH's formula for dM/dt|evap: geff * Mp3 / (960 * ∏ * lp * Mc3 * M) So that if evaporation and accretion are in equilibrium, then: dM/dt|evap = dM/dt|accr or: geff * Mp3 / (960 * ∏ * lp * Mc3 * M) = λ * ∏ * Cem2 * M1/2 * cs * ρ where geff and Cem are constants, and Mp and lp are the Planck mass and Planck length respectively--they equal "1" when doing calculations in natural units. And Mc is the "critical mass" the physical significance of which I don't claim to understand--I am definitely in shut-up-and-calculate mode. So to determine the equilibrium mass of the mBH, just solve for M (the mass of an mBH as a function of time): Meq = ((960 * λ * ∏2 * cs * ρ * Cem2 * lp * Mc3) / (g(eff) * Mp3))2 It turns out that the first mBH produced (assuming a worst-case Mcrit) would travel about ~1 cm before it's velocity declined to <1 mm/s in about 3 seconds. At this point, it will be converting atoms into gamma rays at a rate that's on the order of ~100 tons of TNT per second. Thus, the good news is the LHC would destroy itself before it could produce much more than 1 or 2 or 3 mBH's. At this point, the only force moving it would be the gravity of the Earth. But the acceleration due to gravity is sure to be resisted by the powerful drag that comes from absorbing matter. So you would wind up with this smoking volcano where the beautiful city of Geneva once stood that would last for who knows how long before it slowly sunk into the Earth where it would only bump up the Earth's intrinsic power by 1%. _________________________ Although personally I am quite content with existing explosives, I feel we must not stand in the path of improvement. -Winston Churchill Last edited by Warren Platts; 22-August-2009 at 08:10 PM.. Reason: clarify meanings of variables |
|
|||
|
The only danger I see from the LHC is that it will produce too many new particles and further complicate the zoo that particle physics has now.
|
|
||||
|
Quote:
Regardless, I previously calculated that a BH massing two aircraft carriers would disintegrate in about one second, releasing enough energy to blow half of Kansas clear across Colorado. Thus, I seriously doubt the LHC's input energies would be any more than a very, very tiny fraction of that amount. Again, at most, a hand grenade. Quote:
Quote:
__________________
If I set the budget, we'd have Ares and more. Unfortunately, I don't set the budget, and Ares is just too expensive and too far out for us to accomplish our goals within the budget we were given. If we halt the ISS, all versions of Ares, and transport Orion and Altair aboard DIRECTv3's Jupiter family of Shuttle-Derived Launch Vehicles, we just might make it back to the Moon by 2020. |
|
|||||
|
Quote:
Quote:
Quote:
Quote:
You should read the novel Blasphemy. It's about a scientist who uses a large particle accelerator to start a new religion. Quote:
________________________ "All should leave Geneva. Saturn turns from gold to iron; the proton ray will exterminate everything."--Nostrodamus |
![]() |
| Thread Tools | Search this Thread |
| Display Modes | |
|
|
LinkBacks (?)
LinkBack to this Thread: http://www.bautforum.com/science-technology/51643-large-hadron-colliders-danger.html
|
|||
| Posted By | For | Type | Date |
| Random Unfinished Thoughts | This thread | Refback | 12-September-2008 01:51 PM |
| The Dodgy Dramatis Personæ (persons) | This thread | Refback | 10-September-2008 02:42 PM |
| Amusement value at Random Unfinished Thoughts | Post #964 | Pingback | 10-September-2008 12:17 PM |
| Rechenkraft.net e.V. :: Thema anzeigen - Neues Projekt LHC@Home | This thread | Refback | 09-February-2008 12:17 AM |
Similar Threads
|
||||
| Thread | Thread Starter | Forum | Replies | Last Post |
| The energy machine of Joseph Newman | banquo's_bumble_puppy | Off-Topic Babbling | 243 | 09-July-2009 09:29 PM |
| Large Hadron Colliders. Dangerous? | dirty_g | Space/Astronomy Questions and Answers | 62 | 06-June-2006 04:02 AM |
| Recent possible 'large' meteors in California and elsewhere | Psionyx | Astronomy | 2 | 06-June-2004 11:58 AM |
| Large body has been spotted beyond Pluto! | Maksutov | Against the Mainstream | 37 | 07-April-2004 09:05 AM |
| Filamentary and large scale structures of the universe. | D J | Against the Mainstream | 24 | 30-April-2003 08:13 PM |