I reproduced exactly Figure 2 in CFH (v2). That of course is with the helium-lithium mixture.... When the true mass figure for iron is used the M(max) increases to about 2.5 x 10^{-21}--about double what the paper says. It also bumps up the Rem 8.9 x 10^{-12} m.
So the typo that got turned into a computational error doesn't materially affect the outcome.
But I think the takehome lesson here is that errors are easy to make, and hard to find sometimes. The correction this time actually goes in favor of LHC safety (in that if the reasoning is correct that went into CFH's eq. (25), then Mcrit for an mBH shouldn't be much more than ~60-70 grams), which is good news if you care about Planet Earth, but it just goes to show that *** happens.
Like the RHIC safety report, where it was demonstrated years after it was published that they had made a 3 order of magnitude mathematical error in their estimate of pcatastrophe.
If we are going to risk the Home Planet, the safety arguments have to be airtight. And they just aren't.
The other take home lesson is that physicists don't read each other's paper's much or very carefully. It's a total pain in the *** to go through a physics paper with a fine-toothed comb. E.g., like Giddings and Mangano accusing Plaga of using a different equation than he actually used. So when Rob says that other physicists will home in on any errors--well that just doesn't happen. They don't have the time. It took an unemployed geologist to find this one.
QUOTE
I'm just saying the way CFH have the their system of equations rigged, the evaporation equation has a term: M^2(t)/sqrt(M^2(t) + p^2(t)), and the rest of the equation is can be regarded as a constant. Thus, when the momentum p goes to zero, one is left with M^2(t)/sqrt(M^2), which equals M^2(t)/M(t) which equals M(t).
Meanwhile, the accretion rate is proportional to the radius squared of the black hole, but the radius in turn is proportional to the fourth root of the mass. Thus one has the accretion rate proportional (M^0.25(t))^4, which is the same as sqrt(M(t)).
So you have a race between accretion and evaporation. When M(t) is greater than one, evaporation wins out: e.g., if M(t) = 4, then sqrt(4) = 2, thus the evaporation rate is 4, whereas the accretion rate is 2, so the net rate is 2 - 4 = -2. Evaporation wins out and the black hole shrinks in size.
But if M(t) is less than one, accretion wins out. E.g., sqrt(0.5) = 0.7, thus the net rate is 0.7 - 0.5 = 0.2, and so the black hole grows.
So, you can see that if M(t) = 1, then sqrt(1) = 1, thus 1 - 1 = 0, and the black hole neither grows nor shrinks. So, the equilibrium size of the black hole depends on the constants--that's the stage I'm at now.
CFH have the black holes going to zero, because they have the accretion formula depend on an additional term: the velocity; thus, when the velocity goes to zero, so does the accretion rate, and so the accretion rate wins out, and the mbh evaporates completely away.
But CFH didn't take into account the thermal velocity of the surrounding medium. So that would set a ground floor to mBH size--I think. So today, I will try to add that into the system of equations and see what happens.
QUOTE (->
| QUOTE |
I'm just saying the way CFH have the their system of equations rigged, the evaporation equation has a term: M^2(t)/sqrt(M^2(t) + p^2(t)), and the rest of the equation is can be regarded as a constant. Thus, when the momentum p goes to zero, one is left with M^2(t)/sqrt(M^2), which equals M^2(t)/M(t) which equals M(t).
Meanwhile, the accretion rate is proportional to the radius squared of the black hole, but the radius in turn is proportional to the fourth root of the mass. Thus one has the accretion rate proportional (M^0.25(t))^4, which is the same as sqrt(M(t)).
So you have a race between accretion and evaporation. When M(t) is greater than one, evaporation wins out: e.g., if M(t) = 4, then sqrt(4) = 2, thus the evaporation rate is 4, whereas the accretion rate is 2, so the net rate is 2 - 4 = -2. Evaporation wins out and the black hole shrinks in size.
But if M(t) is less than one, accretion wins out. E.g., sqrt(0.5) = 0.7, thus the net rate is 0.7 - 0.5 = 0.2, and so the black hole grows.
So, you can see that if M(t) = 1, then sqrt(1) = 1, thus 1 - 1 = 0, and the black hole neither grows nor shrinks. So, the equilibrium size of the black hole depends on the constants--that's the stage I'm at now.
CFH have the black holes going to zero, because they have the accretion formula depend on an additional term: the velocity; thus, when the velocity goes to zero, so does the accretion rate, and so the accretion rate wins out, and the mbh evaporates completely away.
But CFH didn't take into account the thermal velocity of the surrounding medium. So that would set a ground floor to mBH size--I think. So today, I will try to add that into the system of equations and see what happens. |
HOLY CRAP!
Here it is folks:
Like I said, the way CFH have their system of equations set up, runaway mBH growth is logically impossible. I also pointed out they don't take into account thermal velocity. If they did, then the logical result is a balance of forces such that you get an mBH that is totally stable: that is, it is in a dynamic equilibrium where it neither grows nor shrinks.
So what I do is take that formula from G&M and use it for my dM/dt accretion formula. Once this formula exceeds the dM/dt of CFH, then I assume the G&M formula takes over.
Since an mBH that's going even half the speed of light slows down to less than Earth's escape velocity in a matter of centimeters, then any mBH produced under CFH's theory will get trapped. However, it never gets big enough to go 4-D, so we don't have to worry about the transition. So I assume that the mBH will remain 5-D always.
Since the black hole will be in equilibrium, then dM/dt|accr = dM/dt|evap. Thus:
lamda pi rho cs Cem^2 M^{1/2} = g(eff) Mp^3 / (960 pi lp Mc^3 M)
So the thing to do is solve for M, and that will give you the equilibrium mass of the black hole. Thus:
M = ((960 lambda pi^2 rho cs Cem^2 lp Mc^3) / (g(eff) Mp^3))^2
I assume that the mBH settles in the lower Outer Core, where the speed of sound (cs) is ~12 km/s. Also I set lambda to the worst-case value in G&M of 6.6.
Thus, using the initial conditions chosen by CFH for their Figure 2, the equilibrium mass is ~3.5 x 10^-22 kg. Applying Einstein's formula E = mc^2, that's a power output of 20,000 Watts. But that scenario assumes a brane thickness L of 11 micrometers. However, the lowest empirical upper bound is 44 micrometers. So the worst-case scenario should take this figure, which gives an Mcrit of 2.4 x 10^6 kg. In this case, the power of one mBH would be 0.3 TW. It would take 100-200 of these to double Earth's intrinsic power of ~40 TW.
I doubt if it would get that far, however. The equilibrium size depends heavily on the nucleus size. The heavier the nucleus, the smaller the equilibrium size, which is somewhat counterintuitive. But this means the power output near the surface could be quite high, since the nuclei will come from the rock surrounding the LHC tunnel. It's probably limestone. But anyway, such an mBH would probably blow up the LHC and perhaps Geneva, so not too many of them would get produced.
OK.. sorry if it was a bit long.
User45
11th May 2009 - 10:11 PM
QUOTE (buttershug+May 11 2009, 11:32 AM)
Then don't read about Yelowstone National Park, or flu (avian flu hasn't gone away just off the front page), or the potential solar storm in 2012, or how many asteroids have come close since they started watching for them or...
Hun?
rpenner
12th May 2009 - 12:13 AM
QUOTE
I pointed out the typo with respect to iron atomic mass.
This is
m in equation 22 of "On the Possibility of Catastrophic Black Hole Growth in the Warped Brane-World Scenario at the LHC" [CFH] (which needs another factor of c² on top in the SI units given) and used in equation 26. The value of 9×10^-27 kg should have been 9×10^-26 kg for iron, which results in C_EM going up 78% to 2×10^-6 m kg^(-1/4). So equation 26 is wrong and equation 27 doesn't even make sense given any of the many values of L listed. This paper has not yet been accepted for publication as is.
QUOTE (->
| QUOTE |
| I pointed out the typo with respect to iron atomic mass. |
This is
m in equation 22 of "On the Possibility of Catastrophic Black Hole Growth in the Warped Brane-World Scenario at the LHC" [CFH] (which needs another factor of c² on top in the SI units given) and used in equation 26. The value of 9×10^-27 kg should have been 9×10^-26 kg for iron, which results in C_EM going up 78% to 2×10^-6 m kg^(-1/4). So equation 26 is wrong and equation 27 doesn't even make sense given any of the many values of L listed. This paper has not yet been accepted for publication as is. Still making progress: am working on the system of equations for the numerical simulation.
Which is irrelevant unless they find a problem with equation 35 of [CFH].
QUOTE
G&M is needlessly opaque. They probably did that on purpose. The CFH paper
Not only is this statement vague, but it follows from pure ignorance and conspiracy thinking. Because Giddings and Mangano [GM] were writing for an audience of particle physicists and attempting to tackle every possible black hole model, including those which they considered contrary to basic physics, the paper is already very long. Boring trained physicists by spelling out trivia, algebra or calculus is no way to write a publishable paper. And the contention that [GM] is opaque is refuted when [CFH] cites it and depends on it as reference 10 for many calculations.
QUOTE (->
| QUOTE |
| G&M is needlessly opaque. They probably did that on purpose. The CFH paper |
Not only is this statement vague, but it follows from pure ignorance and conspiracy thinking. Because Giddings and Mangano [GM] were writing for an audience of particle physicists and attempting to tackle every possible black hole model, including those which they considered contrary to basic physics, the paper is already very long. Boring trained physicists by spelling out trivia, algebra or calculus is no way to write a publishable paper. And the contention that [GM] is opaque is refuted when [CFH] cites it and depends on it as reference 10 for many calculations. But I can see how someone versed in the subject would know that.
They know it (to the extent which they
do know it) by building particle colliders and running experiments. Indeed, at high energies, it is an unknown figure and we can only put lower bounds on it.
QUOTE
Planck units are pretty cool. ... Thus in natural units I get v = (p^2/(m^2+p^2))^{1/2}.
I'm not convinced that the algebra is easier than that used to get the conventional unit answer v = pc / √( m²c² + p²) = p / √( m² + p²/c²). But for the examples given in [CFH], the Newtonian formula v = p/m is never more than 12% off. Indeed, if you are working in the SI system, you need to use the factors of c.
QUOTE (->
| QUOTE |
| Planck units are pretty cool. ... Thus in natural units I get v = (p^2/(m^2+p^2))^{1/2}. |
I'm not convinced that the algebra is easier than that used to get the conventional unit answer v = pc / √( m²c² + p²) = p / √( m² + p²/c²). But for the examples given in [CFH], the Newtonian formula v = p/m is never more than 12% off. Indeed, if you are working in the SI system, you need to use the factors of c. As for solid versus liquid accretion mediums, G&M just assume that a solid medium would accrete more slowly, but it's not obvious to me.
See, that's one of the boring things that you don't put in a published paper addressed to physicists. Since, by definition, the atoms in a solid are not free to move independently, for a black hole which has a radius of strong influence, R_em, which is smaller than the solid cannot effectively eat the whole solid at once in a slurp. So it carves out what it can and now the density of the solid is less because it has a hole in it. For a liquid or gas, or a pile of sand, the density remains high because of the assumption that the material responds to hydrodynamic forces and thus abhors a vacuum. For a liquid, even far from the black hole, the material is being pulled in, slowly at first, and then increasingly faster until it eventually passed the speed of sound. (See appendix A of [GM].) And this is precisely the effect that solids resist.
QUOTE
Would it be net faster than in a liquid medium? I don't know.
I know of no other way to read this other than as admission of ignorance of the definition of solid and an inability to parse appendix A of [GM].
QUOTE (->
| QUOTE |
| Would it be net faster than in a liquid medium? I don't know. |
I know of no other way to read this other than as admission of ignorance of the definition of solid and an inability to parse appendix A of [GM]. My initial goal is to just get a workable numerical simulation going, and then I can start to play around with variable parameters and equations, and see where they lead.
Well, that's meaningless unless you let the universe be your guide as to what parameters are realistic. Indeed, until someone can understand how equation 27 of [CFH] holds and is modified by the change to
m, numerical simulation is premature.
QUOTE
So the typo that got turned into a computational error doesn't materially affect the outcome.
Yeah!
QUOTE (->
| QUOTE |
| So the typo that got turned into a computational error doesn't materially affect the outcome. |
Yeah! But I think the takehome lesson here is that errors are easy to make, and hard to find sometimes.
Which is why all good science journals have peer review, while arxiv, of itself, has none.
QUOTE
Like the RHIC safety report, where it was demonstrated years after it was published that they had made a 3 order of magnitude mathematical error in their estimate of pcatastrophe.
Citation required. I suspect they are saying that their novel assumption of neutral stable black holes means that cosmic-ray black holes would not be stopped by a rocky mass of the diameter of the moon, which was not and is not part of any physical theory of black holes. [GM] modeled black holes as such, which is why the poster tried to discredit [GM] at every chance.
QUOTE (->
| QUOTE |
| Like the RHIC safety report, where it was demonstrated years after it was published that they had made a 3 order of magnitude mathematical error in their estimate of pcatastrophe. |
Citation required. I suspect they are saying that their novel assumption of neutral stable black holes means that cosmic-ray black holes would not be stopped by a rocky mass of the diameter of the moon, which was not and is not part of any physical theory of black holes. [GM] modeled black holes as such, which is why the poster tried to discredit [GM] at every chance. If we are going to risk the Home Planet, the safety arguments have to be airtight. And they just aren't.
The safety arguments are airtight. But they aren't proof against magic unicorns and
post hoc shifting of goal posts. Logic has rules, and abandoning these rules is similar to the "genius" footballer who realizes that the opposing team will keep a greater distance if he demonstrate a willingness to kick players in the groin. Goals you score won't count.
QUOTE
The other take home lesson is that physicists don't read each other's paper's much or very carefully.
The unpublished [CFH] of course receieves less scrutiny than the widely read [GM].
QUOTE (->
| QUOTE |
| The other take home lesson is that physicists don't read each other's paper's much or very carefully. |
The unpublished [CFH] of course receieves less scrutiny than the widely read [GM]. I'm just saying the way CFH have the their system of equations rigged, the evaporation equation has a term: M^2(t)/sqrt(M^2(t) + p^2(t)), and the rest of the equation is can be regarded as a constant. Thus, when the momentum p goes to zero, one is left with M^2(t)/sqrt(M^2), which equals M^2(t)/M(t) which equals M(t).
That is the information content of equation 13 of [CFH], which is in proper time, but that only applies in a limited mass-regime. But it ignores that g_eff is assumed to be a function of mass.
QUOTE
Meanwhile, the accretion rate is proportional to the radius squared of the black hole, .... So, the equilibrium size of the black hole depends on the constants--that's the stage I'm at now.
All of which is in the definition of the critical momentum for a black hole, given by equation 35 of [CFH]. But since the black hole is always slowing down, this is not a stable equilibrium. Moreever, [GM] considers the much easier analytic case of
no evaporation and no slow-down in the pre-Bondi accretion phase, just to make the hypothetical objects as dangerous as possible.
QUOTE (->
| QUOTE |
| Meanwhile, the accretion rate is proportional to the radius squared of the black hole, .... So, the equilibrium size of the black hole depends on the constants--that's the stage I'm at now. |
All of which is in the definition of the critical momentum for a black hole, given by equation 35 of [CFH]. But since the black hole is always slowing down, this is not a stable equilibrium. Moreever, [GM] considers the much easier analytic case of
no evaporation and no slow-down in the pre-Bondi accretion phase, just to make the hypothetical objects as dangerous as possible. CFH have the black holes going to zero, because they have the accretion formula depend on an additional term: the velocity; thus, when the velocity goes to zero, so does the accretion rate, and so the accretion rate wins out, and the mbh evaporates completely away.
Because the capture radius, R_em, never gets large enough relative to the size of atoms and the mean-free-path of atoms to treat the material as continuous and subject to hydrodynamic forces as required by the Bondi physics.
QUOTE
But CFH didn't take into account the thermal velocity of the surrounding medium. So that would set a ground floor to mBH size--I think. So today, I will try to add that into the system of equations and see what happens.
But then you have to abandon all the continuum treatments used. You have to use quantum physics. In short, you have to write a treatise many times the size of [GM] and cover many topics that they refused to in favor of making the black holes more dangerous than realistic.
QUOTE (->
| QUOTE |
| But CFH didn't take into account the thermal velocity of the surrounding medium. So that would set a ground floor to mBH size--I think. So today, I will try to add that into the system of equations and see what happens. |
But then you have to abandon all the continuum treatments used. You have to use quantum physics. In short, you have to write a treatise many times the size of [GM] and cover many topics that they refused to in favor of making the black holes more dangerous than realistic. they don't take into account thermal velocity. If they did, then the logical result is a balance of forces such that you get an mBH that is totally stable: that is, it is in a dynamic equilibrium where it neither grows nor shrinks.
It does not follow that a stable black hole, which by definition is not growing, poses a danger. Also, in the model of [CFH] the capture radius of the black hole is at all times small relative to atomic dimensions, which means that any equilibrium is statistical at best. Also, the black hole model of [CFH] has not been demonstrated to be reliable, so pursuing it in such detail would likely be a waste. In short, the nit-picking pettifoggery has blinded the author to actually addressing the author's own issue.
QUOTE
Since the black hole will be in equilibrium, then dM/dt|accr = dM/dt|evap. Thus:
lamda pi rho cs Cem^2 M^{1/2} = g(eff) Mp^3 / (960 pi lp Mc^3 M)
So the thing to do is solve for M, and that will give you the equilibrium mass of the black hole. Thus:
M = ((960 lambda pi^2 rho cs Cem^2 lp Mc^3) / (g(eff) Mp^3))^2
The units don't match, because of missing terms in the [CFH]-derived right side. This means the result is nonsense in SI units. Another problem is this doesn't seem to match equations 13 or 32 of [CFH]. But even here the algebra is bad.
Given the above (which I have not checked) we actually have:
M = [Mp/(4 Mc)]^2 [g(eff)/(15 pi^2 lambda rho cs Cem^2 lp)]^2/3
and
dM/dt = (Mp/(4 Mc)) (pi g(eff) lambda^2 cs^2 Cem^4 rho^2/(15 lp))^(1/3)
But, naturally, the rest of the results are worthless.
User45
12th May 2009 - 02:26 AM
Responding to some counter-arguments:
1) “If we give in to the idea that any and all of our physical models might be wrong, then the odds of disaster are actually infinity.”
I reiterate that my concern that catastrophic mBHs might be produced at the LHC does not hinge on the idea that all of our physical models might be wrong. The underlying framework could be correct enough so that mBHs are produced, but not correct enough to prevent mBHs from becoming potentially problematic. This is the “unlikely” scenario considered by Giddings and Mangano in their paper “Astrophysical implications of hypothetical stable TeV-scale black holes“ (arXiv:0806.3381v2). Giddings & Mangano's astronomical argument as well as Koch, Bleicher, Stoecker's astronomical argument (arXiv:0807.3349v2) may also be incorrect if any of their assumptions are mistaken.
2) “My philosophy can be applied to any and all scientific experiments, and it would lead to the end of all scientific progress.”
My response would be that some risks are both necessary and unavoidable, and the LHC is not one of them. Instead of launching the LHC, I propose, in the short-term, that we try to determine if micro black holes exist using cosmic ray detectors (see arXiv:hep-ph/0109106v2). Cosmic-ray observations by the Pierre Auger Observatory and the Fermi Gamma-ray Space Telescope could shed new light on the matter. In the long-term (if the short-term approach doesn’t work), we could conduct the LHC program on a space station or another celestial body.
3) “When you start quantifying the dangers you find that there's a great many things which could kill us, either one at a time or all at once, but which no one worries about.”
This is an example of the “is-ought fallacy” : since there are many things that could kill us and which no one worries about, we should not try to mitigate risks which no one worries about.
4) “The argument that something may have unknown errors can be used both for the building of the LHC as against it”. For example, one could also argue that because of some unknown ignorance or unknown mistake, the Earth is actually going to be destroyed if we do NOT launch the LHC.
This argument fails if one can show, with regards to the alternative scenario (for example, Aliens destroy the planet because we didn't launch the LHC), that the exact same outcome could potentially follow from the same or similar unknown factors by the same mechanism in the exact opposite circumstances (we launched the LHC). If the argument does not fail, then the alternative scenario must also be considered seriously as a potential risk.
Here is an example of an argument that fails: “Tyrannical aliens exist with the ability to depopulate the Earth. Under their rules, wilful ignorance is criminal and if the LHC is forbidden to be turned on due to an argument from ignorance, all of Earth must be killed.” First of all, this argument fails because I have proposed alternative ways to gain the knowledge we are seeking. Secondly, I can imagine the exact opposite scenario: tyrannical aliens exist with the ability to depopulate the Earth. Under their rules, wilful knowledge is criminal and if the LHC is allowed to be turned on due to an argument from knowledge, all of Earth must be killed. These aliens want to keep all the advanced knowledge for themselves.
A related argument: “Ignorance is automatically punished by the universe, because wrong choices are statistically more likely in ignorance than in knowledge.” This suggests that our current ignorance about LHC microphysics may prevent us from averting a catastrophe. But again, as proposed above, there are other ways that we might gain the knowledge necessary to avert such a catastrophe.
MjolnirPants
12th May 2009 - 03:59 AM
QUOTE (User45+May 11 2009, 09:26 PM)
3) “When you start quantifying the dangers you find that there's a great many things which could kill us, either one at a time or all at once, but which no one worries about.”
This is an example of the “is-ought fallacy” : since there are many things that could kill us and which no one worries about, we should not try to mitigate risks which no one worries about.
No, it is not. You are ignoring the entire concept of the likelihood of these dangers. AlphaNumeric is not claiming you shouldn't worry about being shot if you drive through a bad neighborhood flicking people off because you don't worry about being struck by a falling meteor. The former is likely, the latter unlikely. Are you unfamiliar with the concept of "risk"? The risk of an event is not just the impact it would have, but the impact multiplied by the likelihood of it happening. In the case of the LHC, you cannot argue only the impact of an undesirable outcome without taking into account the likelihood of an undesirable outcome, without committing a logical fallacy of your own: an appeal to probability.
QUOTE
4) “The argument that something may have unknown errors can be used both for the building of the LHC as against it”. For example, one could also argue that because of some unknown ignorance or unknown mistake, the Earth is actually going to be destroyed if we do NOT launch the LHC.
This argument fails if one can show, with regards to the alternative scenario (for example, Aliens destroy the planet because we didn't launch the LHC), that the exact same outcome could potentially follow from the same or similar unknown factors by the same mechanism in the exact opposite circumstances (we launched the LHC). If the argument does not fail, then the alternative scenario must also be considered seriously as a potential risk.
The argument itself does not fail. The claim made by the argument fails
only in this specific case, and
only if you can show your conjecture to be true.
QUOTE (->
| QUOTE |
4) “The argument that something may have unknown errors can be used both for the building of the LHC as against it”. For example, one could also argue that because of some unknown ignorance or unknown mistake, the Earth is actually going to be destroyed if we do NOT launch the LHC.
This argument fails if one can show, with regards to the alternative scenario (for example, Aliens destroy the planet because we didn't launch the LHC), that the exact same outcome could potentially follow from the same or similar unknown factors by the same mechanism in the exact opposite circumstances (we launched the LHC). If the argument does not fail, then the alternative scenario must also be considered seriously as a potential risk. |
The argument itself does not fail. The claim made by the argument fails
only in this specific case, and
only if you can show your conjecture to be true.
Here is an example of an argument that fails: “Tyrannical aliens exist with the ability to depopulate the Earth. Under their rules, wilful ignorance is criminal and if the LHC is forbidden to be turned on due to an argument from ignorance, all of Earth must be killed.” First of all, this argument fails because I have proposed alternative ways to gain the knowledge we are seeking.
You have most certainly not proposed any method of garnering all the same information as could be gleaned from the LHC, only alternative methods of garnering some of the same knowledge, so your argument fails: The tyrannical aliens would still kill us.
RobDegraves
12th May 2009 - 05:16 AM
Thank you Rpenner for a great overview. That is the kind of detail I was hoping for.
I will add a bit to MjolnirPants retort if I may.
User45
There is one very distinctive error you are constantly making in your philosophical approach... let me show you.
QUOTE
My response would be that some risks are both necessary and unavoidable,
Who determines what risks are both necessary and unavoidable... for that matter who determines what experiment is risky and which experiment is not risky?
Who would be the appropriate body of persons to determine this?
You?
Politicians?
A vote?
Or scientists who actually understand the issue?
MjolnirPants
12th May 2009 - 05:30 AM
QUOTE (RobDegraves+May 12 2009, 12:16 AM)
User45
There is one very distinctive error you are constantly making in your philosophical approach... let me show you.
Who determines what risks are both necessary and unavoidable... for that matter who determines what experiment is risky and which experiment is not risky?
Who would be the appropriate body of persons to determine this?
You?
Politicians?
A vote?
Or scientists who actually understand the issue?
Allow me to add to this addition by pointing out that if one were to apply the logic Rob and I are arguing against to the theory of evolution, then the risk posed by accepting the theory (going to hell) would have served to preclude most of the modern medicine that has increased the human lifespan in the past two centuries.
If we allow ourselves to use such logic whenever it pleases us, we can say with near absolute certainty that mankind will suffer as a result of it.
AlphaNumeric
12th May 2009 - 06:18 AM
QUOTE (User45+May 12 2009, 03:26 AM)
3) “When you start quantifying the dangers you find that there's a great many things which could kill us, either one at a time or all at once, but which no one worries about.”
This is an example of the “is-ought fallacy” : since there are many things that could kill us and which no one worries about, we should not try to mitigate risks which no one worries about.
No, that isn't correct. Firstly, the general public fear new things. Secondly, the general public cannot gauge the danger of new things.
The chance of you being killed in a car is much higher than in an aeroplane, yet more people are afraid of flying because it's not something which they do everyday. It's a novel thing, it's something their common experience doesn't allow them to feel comfortable with. Tell them the odds of a plane crash compared to a car crash and they don't feel safer, they clinge to the statistic on plane crashes. You and your ignorant cohorts are doing the same. You don't know the danger (or lack of) so you simply say "It's new and it's wrong". When someone quantifies the danger to you you don't understand or don't want to understand. At least with plane crashes you can show "Every 100,000 planes which take off 99,999 land safely" (not the real statistic), but the arguments about the LHC are complicated and surprise surprise, the biggest whiners are the more ignorant.
User45
12th May 2009 - 09:56 AM
QUOTE
No, it is not. You are ignoring the entire concept of the likelihood of these dangers. AlphaNumeric is not claiming you shouldn't worry about being shot if you drive through a bad neighborhood flicking people off because you don't worry about being struck by a falling meteor. The former is likely, the latter unlikely. Are you unfamiliar with the concept of "risk"? The risk of an event is not just the impact it would have, but the impact multiplied by the likelihood of it happening. In the case of the LHC, you cannot argue only the impact of an undesirable outcome without taking into account the likelihood of an undesirable outcome, without committing a logical fallacy of your own: an appeal to probability.
So you are now arguing that since there are many likely things that could kill us, we should not try to mitigate unlikely risks. That's still an example of the “is-ought fallacy” in my book.
QUOTE (->
| QUOTE |
| No, it is not. You are ignoring the entire concept of the likelihood of these dangers. AlphaNumeric is not claiming you shouldn't worry about being shot if you drive through a bad neighborhood flicking people off because you don't worry about being struck by a falling meteor. The former is likely, the latter unlikely. Are you unfamiliar with the concept of "risk"? The risk of an event is not just the impact it would have, but the impact multiplied by the likelihood of it happening. In the case of the LHC, you cannot argue only the impact of an undesirable outcome without taking into account the likelihood of an undesirable outcome, without committing a logical fallacy of your own: an appeal to probability. |
So you are now arguing that since there are many likely things that could kill us, we should not try to mitigate unlikely risks. That's still an example of the “is-ought fallacy” in my book.
The argument itself does not fail. The claim made by the argument fails
only in this specific case, and
only if you can show your conjecture to be true.
I am not saying that it fails. I am saying it might fail, because (1) our knowledge is limited and (2) we have been mistaken in the past (e.g. rate of expansion of space). This is indisputable.
QUOTE
You have most certainly not proposed any method of garnering all the same information as could be gleaned from the LHC, only alternative methods of garnering some of the same knowledge, so your argument fails: The tyrannical aliens would still kill us.
No, I have said that in the short term, we should determine whether mBHs exist using cosmic ray detectors. I have also proposed running the LHC off the Earth. Therefore, we could garner the same information.
buttershug
12th May 2009 - 11:24 AM
QUOTE (User45+May 12 2009, 09:56 AM)
So you are now arguing that since there are many likely things that could kill us, we should not try to mitigate unlikely risks. That's still an example of the “is-ought fallacy” in my book.
No, I have said that in the short term, we should determine whether mBHs exist using cosmic ray detectors. I have also proposed running the LHC off the Earth. Therefore, we could garner the same information.
We have mitigated the risks with the LHC.
It's been studied by people who understand it.
What makes you think people who don't understand it, understand it better?
If we had the money to run it off Earth then that money would be better spent in asteroid detection.
There are things that will happen eventually that will destroy the human race on Earth when it does. and other events that would merely destroy civilization.
MjolnirPants
12th May 2009 - 03:34 PM
QUOTE (User45+May 12 2009, 04:56 AM)
So you are now arguing that since there are many likely things that could kill us, we should not try to mitigate unlikely risks. That's still an example of the “is-ought fallacy” in my book.
That's because your 'book' is skewed by your own bias and inability to acknowledge a mistake.
1. Regardless of whether or not the response to your concerns is a fallacy, your concerns are still rooted in a fallacy, rendering them moot. If you claim that I will die lonely and alone because you've never seen any evidence of my fiancee's existence, then your claims do not become any more valid if I respond that you're a poopyhead and because of this, you can't make any judgments about how my life would turn out.
2. How many precautions have you taken to ensure against being struck by lightning? Please send me photographs of your extensive collection of rubber-soled, platform shoes, the defibrillator you keep handy, the rubber gloves you wear at all times when outdoors, the lightning rods you have placed around your house, yard and place of employment, etc.. I'd love to see those. Alternatively, you could acknowledge that you yourself engage in the same behavior you consistently claim is a fallacy.
QUOTE
I am not saying that it fails. I am saying it might fail, because (1) our knowledge is limited and (2) we have been mistaken in the past (e.g. rate of expansion of space). This is indisputable.
It was posited that an alien species might wipe us out if we don't run the LHC, which is possible though unlikely. You then said that they might wipe us out regardless, which is also possible if unlikely. In either case, we would be best served by running the LHC.
The LHC may teach us something that makes anti-matter production cheap and easy, allowing for new forms of weaponry with which to fight off these aliens.
QUOTE (->
| QUOTE |
| I am not saying that it fails. I am saying it might fail, because (1) our knowledge is limited and (2) we have been mistaken in the past (e.g. rate of expansion of space). This is indisputable. |
It was posited that an alien species might wipe us out if we don't run the LHC, which is possible though unlikely. You then said that they might wipe us out regardless, which is also possible if unlikely. In either case, we would be best served by running the LHC.
The LHC may teach us something that makes anti-matter production cheap and easy, allowing for new forms of weaponry with which to fight off these aliens.
No, I have said that in the short term, we should determine whether mBHs exist using cosmic ray detectors. I have also proposed running the LHC off the Earth. Therefore, we could garner the same information.
So running an experiment that deals with little-known and theoretical areas of physics in micro-gravity will absolutely produce the same results as running it in 1g?
Have you even considered the costs of such an undertaking, assuming that it would theoretically produce the same results? Have you considered the differences that could arise from the cut corners which would accompany any attempt to built it off of the planet? Have you considered any factors that may prevent building it in space from even being done?
RobDegraves
12th May 2009 - 04:37 PM
Building the LHC in space is a ridiculous idea.
Currently the cost of lifting materials to space is around $19 000 per kilo. Let's make it easy to calculate and make it $10 000, making the assumption that tech improves along the way.
The LHC uses 1600 superconductive magnets each weighing 27 tonnes approx. = 43200 tonnes
Price tag = 432 000 000 000
432 Billion dollars.... just for the magnets.
The four detectors would run about the same... so now we are around a trillion dollars.
The whole thing would likely run a cost so high that the figure has no name. You would need a full committee of scientists just to come up with a name for that sort of amount.
Can you imagine the sales pitch?
"We have a project that will advance all sciences as we know them but we need to build it in space because a group of people think it would be safer that way."
"People... scientist people?"
"Hmmm.. no. No scientists to speak of. Well... maybe one scientist.. wrote a paper with a bunch of mistakes. But the others are quite sure it's dangerous... without knowing anything about the science... but we all decided it would be better that way so they would all feel better. Isn't that nice?"
"How much would this great project cost?"
"Hmmm.... a frooglepapillion dollars"
"How much is that?"
"Well... you know how much a trillion is?"
"Yes"
"Well... keep going... it's a lot more"
"..... Get out of my office before I shoot you."
(With due credit to Scott Adams for the name of the number).
MjolnirPants
12th May 2009 - 05:42 PM
QUOTE (RobDegraves+May 12 2009, 11:37 AM)
Building the LHC in space is a ridiculous idea.
Currently the cost of lifting materials to space is around $19 000 per kilo. Let's make it easy to calculate and make it $10 000, making the assumption that tech improves along the way.
The LHC uses 1600 superconductive magnets each weighing 27 tonnes approx. = 43200 tonnes
Price tag = 432 000 000 000
432 Billion dollars.... just for the magnets.
The four detectors would run about the same... so now we are around a trillion dollars.
Don't stop there...
Let's not forget all the extra weight that must be added to shield against radiation and provide thermal insulation. Plus, there's also all the life support equipment that must be installed so that we can actually go there (that's a lo-o-o-o-t of air conditioning and CO2 scrubbers...). And hat's just the money to get the stuff into space! It doesn't include the money to actually construct it, which would conservatively be about 10-100 times the initial figure of approx 6 billion Euros...
Plus the size of this undertaking would require new spacecraft to be developed, new crews to be trained, new spaceports to be built...
All in all, you're looking at a project whose costs exceeds the GDP of the entire planet, and this is while ignoring the costs of the support structure and personal accommodations and a million other features it would need.
But that's ok, we can just cut off all our charity work and every form of research or public service as well as forcing the entire planet to become one big communism in order to fund it. Who cares that people will die from starvation, diseases, and accidents, when we can save them from those black holes that are less likely to cause any harm than my foot is to spontaneously turn into a turnip?
rpenner
12th May 2009 - 06:50 PM
Another of the problems with the LHC is it's bolted to solid rock about it's whole length -- and that is not rigid enough for the sub-millimeter alignment of the beams, so the beams have to be actively steered to compensate for the motion of the foundation due to causes such as the tides.
Thinner, free-standing structures, like a steel sky scraper reaching a quite modest distance into the sky, require their natural tendencies to bend by large moving counterweights to keep the motion of the top floors down to a human-tolerable amount.
http://en.wikipedia.org/wiki/Tuned_mass_damperSo if granite isn't rigid enough, and human engineering materials aren't rigid enough, does someone want to talk about the bending modes of a thin torus? And the fuel costs, waste and and air pollution of rocket transport of 38000 tonnes of the LHC, plus stabilizing struts and counterweights, and over 100 MW of power generation equipment into space? It seems it would be cheaper for the human race to talk about only modeled risks and rewards than wholly imaginary ones.
For comparison, the shuttle's maximum payload is 24.4 tons.
Because we can't distinguish User45's purely imaginary black hole fears from those of Walter Wagner's vacuum collapse or Paul Dixon's supernovae, its not rational -- in the absence of a demonstration of physical possibilities leading to modeled loss of human life of property -- to consider them. Specifically, the
best papers which exclude them present a bar which anyone who wishes to advance a reason to stop the LHC needs to get over before they can be taken serious. Carping about physicists using the language of physicists to describe physics or picking some other unpublished paper to dissect or hand-waving or lying about motives and math and physics and risk management and philosophy are not valid ways to present an argument.
MjolnirPants
12th May 2009 - 07:41 PM
QUOTE (rpenner+May 12 2009, 01:50 PM)
Another of the problems with the LHC is it's bolted to solid rock about it's whole length -- and that is not rigid enough for the sub-millimeter alignment of the beams, so the beams have to be actively steered to compensate for the motion of the foundation due to causes such as the tides.
Thinner, free-standing structures, like a steel sky scraper reaching a quite modest distance into the sky, require their natural tendencies to bend by large moving counterweights to keep the motion of the top floors down to a human-tolerable amount.
http://en.wikipedia.org/wiki/Tuned_mass_damperSo if granite isn't rigid enough, and human engineering materials aren't rigid enough, does someone want to talk about the bending modes of a thin torus?
So in other words, not only is it financially nigh-impossible to build it in space, it's technically nigh-impossible.
AlphaNumeric
12th May 2009 - 07:55 PM
QUOTE (rpenner+May 12 2009, 07:50 PM)
and over 100 MW of power generation equipment into space?
We could build a giant pipeline from the Earth to the LHC, so it could burn petrol as both a propellant and a power source. We'd need a giant oxygen pipeline too. Or we could launch a fully functional nuclear reactor into space. After all, what's a ton of uranium when you're putting the LHC into low Earth orbit?
On a pseudo-more serious note, you wouldn't even want to put it into the same orbit as the Shuttle or ISS are capable, which is only a crappy 200 miles up or so. 200 miles compared to the 4 or 5 thousand mile radius of the Earth is nothing. A black hole made 200 miles up is going to be just as dangerous as one made on the surface. So you'd have to put it into a higher orbit, one which is less likely to allow easy gravitational capture due to orbital velocity. Geostationary? That's going to make the energy requirements to get the materials up there double at least (probably more like go up by a factor of 10). Sod it, if you're doing that let's just put it on the Moon.
Actually, I remember reading something about the Moon base you see in the film 2001. It was written in the 60s when space travel was new but the pace of development was blistering (something the Cold War was good for), so a huge Moon bas by 2001 was seen as very likely. However, someone, in the actual year 2001, worked out how much making the base of size and structure seen in the film would cost. It exceeded the entire GDP of the planet. If every single person put all their effort, time and money towards projects which culminated in a huge Moon base we still couldn't do it by say 2012. And by then the lack of agriculture would have led to mass starvation.
So yes, building the LHC on the Moon is a great idea for maybe not killing Mankind if you want us to all starve.
RobDegraves
12th May 2009 - 08:17 PM
Actually... in one of his papers, Prof Rossler estimated that it would only cost about 4 times more than the current cost of the LHC.
Good math there.
MjolnirPants
13th May 2009 - 01:23 AM
QUOTE (RobDegraves+May 12 2009, 03:17 PM)
Actually... in one of his papers, Prof Rossler estimated that it would only cost about 4 times more than the current cost of the LHC.
Good math there.
You forgot to enclose the abbreviation "Prof" in quotation marks. There's a guy who doesn't deserve his honorific....
Or maybe he's right, and we all need to ask him for financial advice, cause he makes John Nash look like a redneck with a mason jar full of 20's...
prometheus
13th May 2009 - 08:25 AM
According to wikipedia Otto Rossler is a genuine professor, it's just that it's not in physics, it's in chemistry.
Of course, that doesn't mean he knows anything about physics and in fact, his interviews and writings that I have read on physics (not journal articles though - funny that...) indicate a distinct lack of knowledge on the subject.
MjolnirPants
14th May 2009 - 05:05 AM
QUOTE (prometheus+May 13 2009, 03:25 AM)
According to wikipedia Otto Rossler is a genuine professor, it's just that it's not in physics, it's in chemistry.
Of course, that doesn't mean he knows anything about physics and in fact, his interviews and writings that I have read on physics (not journal articles though - funny that...) indicate a distinct lack of knowledge on the subject.
Well then, we should listen to him. He's infinitely qualified to comment on the logistics and economics of a huge construction project in space, being a professor of chemistry and all...
Plus, not having a clue (if you're right, which I can believe with no difficulty) about physics makes him even better at that sort of thing...
You'd think that getting an advanced degree in science might be an indicator that a certain person knows what he or she can and can't talk about with authority, but apparently not...
RobDegraves
14th May 2009 - 05:15 AM
That is why the peer review process exists, as well as the many checks on new published materials.
To be honest, the system does tend to limit the speed at which science can advance. Obviously this process is also not foolproof... groundbreaking work is sometimes pushed back, scientists with a greater name get more airtime, etc.
However...
It is there to make sure that all is done that can reasonably be done to make sure that what is published is reviewed, discussed and only the solid and most valid ones make it to the fore.
If I publish something... I have to expect that anything not darn well proven will get torn to shreds ... if it can be torn down, it will be.
Opponents of the LHC usually fail to see how unusual it is for most scientists to agree. 99.9 % of people in that field of research agree that the fears are baseless.
That tends to only happen to very very very obvious cases. Like if you asked particle physicists if their pen could suddenly become an attractive woman who only likes particle physics.
Most would say it's not very likely.
A few would only smile and walk away.... which sounds like wisdom to me.
MjolnirPants
14th May 2009 - 05:25 AM
QUOTE (RobDegraves+May 14 2009, 12:15 AM)
Opponents of the LHC usually fail to see how unusual it is for most scientists to agree. 99.9 % of people in that field of research agree that the fears are baseless.
How true, how true... You don't even have that sort of agreement on the validity of a theory as popular as string theory...
QUOTE
That tends to only happen to very very very obvious cases. Like if you asked particle physicists if their pen could suddenly become an attractive woman who only likes particle physics.
Most would say it's not very likely.
A few would only smile and walk away.... which sounds like wisdom to me.
I used to work in a bar, and we had a physicist who was a regular. Every day he'd buy himself a beer, then buy one for the empty stool next to him. One day, I asked him why he did that, and he said "Well, you're into physics, you know what quantum mechanics says about things spontaneously turning into other things."
I gave him a funny look, and he went on, "Well, there's a chance that the barstool could spontaneously transform into a beautiful woman who thinks I'm sexy."
I said, "Yeah, but this bar is full of beautiful women! Buy one of them a drink, and you might find out she thinks you're sexy."
The physicist said...
...
...
"Yeah, but what are the odds of
that happening?"
It's a totally
(un)true story, I swear.
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