untenstehend zitiere ich ohne explizite Zustimmung des Autors wegen überpersönlicher Relevanz - und offenbar längstens ausstehender Antwort seitens CERN - aus Herrn Dr. Rainer Plaga’s Antwort an Giddings & Mangano (CERN) betreffs Herrn Dr. Plaga’s Warnung vor ‘potential catastrophic risk from metastable quantum-black holes produced at particle colliders‘.
Textformatierung und Fettschrift stammen nicht vom Autor untenstehender Zeilen, Herrn Dr. Rainer Plaga, sondern von mir, Websiteigner der achtphasen, Marc Fasnacht
Dr. Rainer Plaga | http://arxiv.org/pdf/0808.1415v2 | 8 Appendix - Answer to the manuscript “Comments on claimed risk from metastable black holes” by S.Giddings & M.Mangano
In a recent preprint[19] S.Giddings and M.Mangano (G & M) raise three objections against the conclusions of the present manuscript:
1. They “find a negligible power output [from a black hole with the properties described in section 3 of the present manuscript] of the size 0.1 µW, differing by a factor of 1023 from [my] claim.”
My reply:
G & M employ their eq.(1) to calculate the power output of a 5-dimensional microscopic black hole with a radius of 10−7 m within the canonical thermodynamic description of microscopic black holes. They correctly find it to be 23 orders of magnitude smaller than the power output calculated in section 3 of my paper for a black hole of the same size and conclude that my result is erroneous. They claim that I mistakenly applied their eq.(1) “written in terms of the mass using the four-dimensional relationship between radius and mass”.
However, I never employ their eq.(1) or my eq.(2) i.e. the thermodynamic, canonical description to calculate the power output of the black hole in my section 3. Rather, following Casadio & Harms[7], I exclusively employ my eq.(1) (eq. (28) in [7]) which is qualitatively different. Following Casadio & Harms [7] (sentence after their eq.(28)), my eq.(2) was only used to normalize the luminosity eq.(1) at the mass MN to the classical expression eq.(2). MN by far exceeds the maximal mass of the black hole discussed in section 3. This objection criticises something I did not do and did not intend to do. Therefore it does not apply to my paper.
2. They claim that “even ignoring the inconsistency” above, the bounds established in Giddings & Mangano[18] on Eddington limited accretion (like established in their eq.(B13)) still apply.
I reply:
As already pointed out in the 4th sentence after my eq.(6) all results on Eddington limited accretion of G&M were derived for their scenario with “switched off ” Hawking radiation and therefore do not apply for the case “Hawking-radiation limited” accretion at the Eddington limit, considered in my section 3.
3. They feel that a “serious difference between the microcanonical picture and the usual Hawking calculation appears implausible in the large black hole region” I considered (following Casadio & Harms).
I reply:
No reason for this evaluation is given by G & M so I need to wait for their promised “further comments” to take a position.
In light of our poor understanding of black-hole evaporation in general (see quote below) I feel that in any case it will be diffcult to rule out such a serious difference with reasonable certainty.
G & M rightly point out that in my quote: “…at each point where we encountered an uncertainty, we have replaced it by a conservative or “worst case” assumption”. The bold “or” was missing. I corrected this oversight in the revised version.
G & M further propose to quote from an abstract of a talk by W.Unruh[36], in addition to the references of my paper. I hereby accept their suggestion.
An excerpt from Unruh’s abstract reads:
“…Black Hole evaporation is one of the most puzzling features of gravity and quantum theory. The derivation by Hawking is nonsense, in that it uses features of the theory in regimes where we know the theory is wrong. Analog models of gravity have given us a clue that despite the shaky derivation, the effect is almost certainly right. Where then are the particles in black hole evaporation real ly created?…”
From these quotes I conclude: theories with extra dimensions robustly predict the existence of microscopic collider-producible black holes and Hawking radiation. But the detailed decay properties presently remain very uncertain. It then seems important to study alternatives to the standard thermodynamical treatment of Hawking radiation on the safety issue. This is the aim of my paper.
Finally G & M’s comment did not address section 5 of the present manuscript in which I argue that their exclusion of dangerous mBHs is not completely definite for a general, simple reason, completely independent of the above arguments.
I stand to my general conclusion that there is a residual catastrophic risk from metastable microscopic black holes produced at particle colliders.
2009-02-22 | achtphasen | 00:54:51 |
| 34 comments
Wo die angeblich unendliche Distanz herkommt, die von einem Beobachter in endlicher Eigenzeit durchlaufen werden soll, ist reichlich obskur. M.E. kommt sie daher, daß Rössler (ohne dafür einen Grund zu haben) die Weltlinie eines Lichtstrahls, der nach "lichtartig-unendlich" ausläuft und folglich eine unendliche Distanz zurücklegt, mit der eines Beobachters, der eine endliche Strecke in endlicher Eigenzeit durchläuft, identifiziert (bzw. als äquivalent ausgibt). Vom Beobachter nimmt er die endliche Eigenzeit und vom Lichtstrahl die unendliche Distanz, nur haben Lichtstrahl und Beobachter nichts miteinander zu tun. Der Beobachter kann von einem Raketenende, das sich mit Lichtgeschwindigkeit bewegt (und ohnehin in jedem Fall unphysikalisch ist), nicht abprallen, sondern fällt in jedem Fall hindurch.