[M.D. Holloway]

The upcoming Large Hadron Collider (LHC) at CERN could be dangerous. It could produce potentially dangerous particles such as mini black holes, strangelets, and monopoles.
A CERN study indicates no danger for earth, [Ref. 1] but its arguments are incomplete. The reasons why they are incomplete are discussed here.
This paper considers mainly micro black holes (MBHs) with low speeds. The fact that the speed of resultant MBHs would be low is unique to colliders. An important issue is the rate of accretion of matter subsequent to MBH creation.
This study explores processes that could cause accretion to be significant.
Other dangers of the LHC accelerator are also discussed.
I. Arguments for danger in LHC particle accelerator experiments
“In the 27-kilometer-long circular tunnel that held its predecessor, the LHC will be the most powerful particle accelerator in the world. It will smash fundamental particles into one another at energies like those of the first trillionth of a second after the Big Bang, when the temperature of the Universe was about ten thousand trillion degrees Centigrade.” [Ref. 5]
1. There is a high probability that micro black holes (MBHs) will be produced in the LHC. A reasonable estimation of the probability that theories with (4+d) dimensions are valid could be more than 60%. The CERN study indicates in this case a copious production of MBHs at the LHC. [Ref. 1] One MBH could be produced every second. [Ref. 4 & Ref. 5]
2. The CERN study indicates that MBHs present no danger because they will evaporate with Hawking evaporation. [Ref. 1] However, Hawking evaporation has never been tested. In several surveys, physicists have estimated a non trivial probability that Hawking evaporation will not work. [Ref. 9] My estimate of its risk of Hawking evaporation failure is 20%, or perhaps as much as 30%.
The following points assume MBH production, and they assume that Hawking evaporation will fail.
3. The cosmic ray model is not valid for the LHC. It has been said that cosmic rays, which have more energy than the LHC, show that there is no danger. This may be true for accelerators that shoot high energy particles at a zero speed target. This is similar to cosmic ray shock on the moon’s surface. In these cases the center of mass of interaction retains a high speed. This is different from the situation at the LHC, where particles with opposing speeds collide. With cosmic rays (mainly protons in cosmic rays) we need a speed of 0.9999995 c to create a micro black hole of 1 TeV and after the interaction the micro black hole center of mass will have a speed of 0.999 c. As MBHs are not very reactive with matter, calculations indicate that this is more than enough velocity to cross planets or stars without being caught and to escape into space.
4. Lower speed MBHs created in colliders could be captured by earth. Using Greg Landsberg’s calculation [Ref. 3] of one black hole with velocity less than escape velocity from earth produced every 10^5 seconds at the LHC, we have 3.160 (US notation 3,160) MBHs captured by earth in ten years. More precise calculations show that we could have a distribution of MBHs at every range of speed from 0 m/sec to 4 m/sec. The probability of very low speed MBHs is not zero. We need to evaluate if low speed MBHs present more risks.
5. The speed of a MBH captured by earth will decrease and at the end MBHs will come to rest in the center of earth. The speed will decrease because of accretion and interaction with matter.
If we consider that:
a. The CERN study’s calculus for accretion uses the “Schwarzschild radius” for the accretion cross section. [Ref. 1] In the case of low speeds, we must not use the Schwarzschild radius for the calculus of accretion. There are several reasons the capture radius extends beyond the Schwarzschild radius. For example, if the MBH speed were zero, gravitational attraction would be active at a distance greater than the Schwarzschild radius.
b. If a MBH accretes an electron, it will acquire a charge and then probably accrete a proton.
c. If a MBH accretes a quark it will then probably accrete a proton. When a quark is caught, the whole nucleon can be expected to be caught because otherwise the black hole would have acquired a charge which is not complete. (For example minus 1/3.) In a nucleus a fractional charge is unstable and is not allowed. This strongly suggests that the MBH will be required to accrete other divided charges to reach a completed integer number of charges. The same process can be expected in regard to quark color.
d. Gauge forces at short distances could also help to capture an atomic nucleus.
Our calculus indicates that a slow speed MBH can be expected to capture 8.400 (US notation 8,400) nucleons every hour, at the beginning of an exponential process.
6. In the center of earth new processes could occur: As stated above, it has been estimated that in ten years 3.160 (US notation 3,160) MBHs could be captured by earth. All MBHs will progressively lose speed because of numerous interactions. After a time (calculations have to be completed to estimate this time) all these MBHs will go toward the precise gravitational center of earth. (Kip Thorne [Ref. 7 p. 111]) After numerous interactions they will stop there at rest and then coalesce into a single MBH. To get an idea and for a first approach our calculus indicates that the mass of this MBH could be on the order of 0.02 g with a radius of 4 x 10^-17 m. At the center of earth, the pressure is 3.6 x 10^11 Pascals. [Ref. 8]. This pressure results from all the matter in Earth pushing on the electronic cloud of central atoms. The move of electrons is responsible of a pressure (called degenerescence pressure) that counterbalance the pressure of all the matter in Earth.