General Relativity with Cosmic Censorship Violation is Quantum Mechanics

October 29, 2016 — Leave a comment

Read the following with the these two thoughts in your head first:

a) Quantum Mechanics emerges from General Relativity.

b) The Cosmic Censorship Conjecture is wrong.

Since the physical behavior of singularities is unknown, if singularities can be observed from the rest of spacetime, causality may break down, and physics may lose its predictive power. The issue cannot be avoided, since according to the Penrose-Hawking singularity theorems, singularities are inevitable in physically reasonable situations. Still, in the absence of naked singularities, the universe, as described by the general theory of relativity, is deterministic [1] —it is possible to predict the entire evolution of the universe (possibly excluding some finite regions of space hidden inside event horizons of singularities), knowing only its condition at a certain moment of time (more precisely, everywhere on a spacelike three-dimensional hypersurface, called the Cauchy surface). Failure of the cosmic censorship hypothesis leads to the failure of determinism, because it is yet impossible to predict the behavior of spacetime in the causal future of a singularity. Cosmic censorship is not merely a problem of formal interest; some form of it is assumed whenever black hole event horizons are mentioned.

The above description is more or less the way that its viewed today.

If like me, you think that Cosmic Censorship is false, then the above reads as to how fundamentally acausal – ‘truly random’ events can emerge from a purely geometric universe. This does not sound like a catastrophe at all. It sounds like nature.

The Kerr solution plainly admits a > m . The number of papers trying to figure out how a > m cannot exist far surpasses the ones that simply explore the consequences of a > m naked singularities. These over spinning Kerr singularities are in fact fairly benign it turns out as they are impossible to hit unless one shoots a test particle along the exact equator – a set of measure zero. (Carter 1968).

Many of the papers concerning the non existence of a > m use a thought experiment along the lines of ‘starting with a ~= m, toss in a rock so that it looks like a > m will be the result’. They then go to great lengths to show that back reaction, etc will keep a <= m.  That misses the point. There are also ways to construct a naked Kerr ring using wholistic methods like collapsing rings of matter, or colliding gravitational waves. Thus a > m can happen. See https://arxiv.org/abs/1509.05174 for example.

Get over it. Kerr spinning a > m solutions likely exist in nature.

Hawking and Ellis, in The LargeScale Structure of Space-Time (Cambridge 1973)

Hawking and Ellis, in The LargeScale Structure of Space-Time (Cambridge 1973)

 

 

 

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