1) Black holes cannot evaporate because their horizon is effectively infinitely far away in spacetime according to a new theorem in the Schwarzschild metric (“ℜ-theorem“) [1].
2) Black holes are effectively uncharged because of the ℜ-theorem [1]. Therefore, charged elementary particles cannot at the same time be black holes (or point-shaped). Hence nonpointshaped mini-objects exist already. This makes miniblack holes much more likely.
3) Miniblack holes grow exponentially rather than linearly inside the earth: “miniquasar principle“ [2]. Hence the time needed by a resident miniblack hole to eat the earth ismaximally shortened – perhaps down to “50 months.“ This contrasts with the “50 million years“ obtained assuming linear growth by BBC-Horizon [3] and CERN’s analogous “5 billion years“ [4].
4) CERN [4,5] counters that if the hoped-for miniblack holes are stable as claimed [1], equal stable particles must arise naturally by ultra-fast cosmic-ray protons colliding with planetbound protons. This is correct. However, there remains a fundamental difference: only the man-made ones are “symmetrically generated“ and hence dangerous. For they alone are slow enough with respect to the earth that one of them (at less than 11 km/sec) can take residence – in contrast to the almost-luminal speeds of their natural cousins.
5) CERN‘s counterargument could still hold true for more compact celestial bodies than the earth – such that their lifetimes would be drastically reduced in defiance of observation if miniblack holes exist. A quantitative bound can be derived from this argument: Take white dwarfs first. They are 105 times denser than earth while being the same size. Hence their cross-section for a miniblack hole passing-through is by a factor of 105 greater than earth‘s. They remain safe if no more than 104 eating-type collisions with a quark await a fast natural miniblack hole entering them (so it can pass through). Why? Because the energy of 14.000 GeV pumped into two colliding protons at CERN is 14.000 times the rest mass of a proton (1 GeV). Therefore a miniblack hole born of two quarks (one from each proton) likewise has about 14.000 times the rest mass of a quark. Hence by momentum conservation, only about 14.000 (104) collisions with a resident quark can be survived by a fast natural miniblack hole of the LHC energy without losing its almostluminal speed. If this bound applies to white dwarfs, no more than about 0.1 collisions must await a CERN miniblack hole on its first passage through the earth. Thuis estimate appears plausible.
6) The just-obtained number presupposes that the nonlinear growth process of point (3) is inapplicable if very dense matter is passed through at almost-luminal speeds. The by very many orders of magitude shorter collision intervals let this prediction appear justified.
7) Finally, neutron stars have a by another factor of 109 greater density than white dwarfs. Since they are a thousand times smaller, they are a million times more susceptible. But they are protected by quantum coherence effects of the superfluidity type: so miniblack holes can pass without friction. The superfluidity extends to the “inner crust“ [6]. In order to exclude that human-made miniblack holes endanger the earth, it will be necessary to falsify the first of the 7 points, or if this is not possible the second, and so forth. Until this task has been solved, no one can shoulder the responsibility to give the “green light“ to the LHC‘s crossing the 2.000 GeV barrier, as this is currently planned to do within a few weeks.
It thus appears that only an immediate safety conference can save the LHC experiment.
2008-06-11 | achtphasen | 07:50:36 | 
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