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Making black holes in the lab (conclusion), and Space's extra dimension

Q: Can scientists create a black hole in a laboratory?  What would it take to create a black hole in a lab?  Teodor, Bucharest, Romania

This, the third of a three-part article, describes a strange Universe in which black hole production in the lab is possible.  Space may have a fourth, warped dimension.

Space may have an extra 4th dimension that warps gravity by a factor of ten million billion.  Drawing courtesy of Lisa Randall, modified by author.

But how can we exist in such a strange Universe, and not know it? 

Everything we know about our Universe comes from observing forces and particles.  What if all forces (except gravity) and all particles (except particles that communicate gravity’s force) were trapped in a 3-dimensional region of a larger 4-dimensional space?  The region is called the Weakbrane; see the figure showing Our World residing on the Weakbrane.

Weakbrane is the world we know.   Light, for example, is stuck in the Weakbrane.  Since not even light can leave our brane, we can't see beyond the brane to detect the larger Universe.  Likewise, other than gravity and gravitons (particles that carry gravity’s force), nothing we know can leave our brane to explore the larger Universe.  We cannot detect the 4-D space, at least not easily, and then only using the effects of gravity. 

So, that's the reason we don't know a larger universe exists (if it does).

A brane is a theoretical notion, envisioned as a membrane-like object that traps particles and forces.  The brane exists in a higher-dimensional space.  Just as a black hole traps everything inside the hole, so a brane traps forces and particle within its region.  Harvard physicist Lisa Randall illustrates the idea of a brane as a shower curtain.  Water droplets are trapped on the 2D-curtain within the 3D-room.  The curtain is the brane (membrane-like object) in a higher dimensional space, namely, the bathroom.

Professor Randall and her collaborator, physicist Raman Sundrum, professor at John Hopkins University, devised a geometry where two branes enclose another dimension — a fourth dimension in space.  See figure.  (Time is a fifth dimension.)  Gravity on the Gravitybrane is extraordinarily strong.  If we could visit the Gravitybrane (which we can't), gravity would increase ten million billion (10¹⁶) times.  Then, if we could step back along the 4th dimension, we would experience a gravity force that decreased sharply (exponentially) at each step of the way back home to Weakbrane.  Gravity would then, on Weakbrane, be as we have always known it.

Moreover, it's not just gravity that decreases sharply going along the 4th dimension from Gravitybrane to Weakbrane.  Energy and mass scale in exactly the same fashion, by 10¹⁶, which is the warp factor.  Furthermore, length increases by the same warp factor. 

But this means that the unattainably high Planck's density value, set on Gravitybrane, shrinks (by a factor of 10⁶⁴) to a feasible value at our home, Weakbrane.  In fact, the Planck density value for generating a black hole is a mere10³³ kilograms per cubic meter on Weakbrane.

The upgraded LHC can produce the smaller Planck value needed on Weakbrane.  So, the lousy density of about 10³⁴ kilograms per cubic meter that our colliding protons can achieve will do the job.

Black holes in the lab, may soon be a reality.  We should know in 2008.

By the way, Randall and Sundrum solved Einstein's relativity equations over the 5D, warped geometry they devised.  The theory, therefore, checks.  But experimental evidence is the only true test. 

Randall and Sundrum's model is one of many.  In fact, in 2001, two groups (Greg Landsberg of Brown University, Savas Dimopoulos, Steven B. Giddings and Scott Thomas) that originally suggested the possibility of black hole production at the LHC and other colliders did their calculations in a different model with extra dimensions. 

In conclusion:  "Of course, these are incredibly speculative ideas.  We'll find out soon enough whether there is anything to them!" says physicist Erik Ramberg of Fermilab.

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(Answered June 18, 2007)

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