Black hole spirit according to a true leader

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	• An Introduction To Black Holes, Information And The String Theory Revolution: The Holographic Universe Leonard Susskind, James Lindesay World Scientific Publishing Company, 2004 - 200 pages average customer review:based on 7 reviews view larger image
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highly recommended

Wonderful exposé!

Indeed, I agree with the previous reviewer: this book is certainly not for laymen, however it is a wonderful exposé of the "holographic universe", i.e. information contained not in volumina of objects but in their surfaces, such as black holes, which are maximum-entropy objects. In order to understand the book, you'll need a BSc in physics or mathematics with a keen interest in physics. Knowledge of Einstein's theory of general relativity might be of use, but not strictly neccesary. It's written nicely, it is up to date, and a pleasure to study.

Solid set of lectures

The book is a scientific diary which presents some theoretical results of the physics of black holes (often peculiar, like the black hole horizon having electrical resistance of 377Ohm/square) and introduces the holographic principle. Conceptually the level of the presentation is high but mathematics is kept at minimum which makes the book an excellent reading for anyone with a solid background in quantum mechanics and relativity. The book is very clearly written.

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Exploring the Holographic Multiverse

"Black Holes, Information and the String Theory Revolution: The Holographic Universe"

Lenny and I worked together with Johnny Glogower on quantum phase and time operators at Cornell in 1964 .Lenny's densely mathematical book is not a popular book. It is incomprehensible to the general reader and it is not easy going for the professional theoretical physicist not in the sub-field. However, it has moments of great clarity and if it is wrong, as George Chapline thinks, it is brilliantly wrong. Certainly pieces of Lenny's thesis will survive. So, to really see what the book is about, it's best to read the end of the book first and then go back to the beginning. Lenny emphasizes the key role on nonlocality (e.g. nonlocality of gravity energy?) in black hole complementarity.

"In order to reconcile the equivalence principle with the rules of quantum mechanics the rules of locality must be massively modified."

I like the idea of the blackhole as a string since I already published in 1974 the explanation of the Regge slope alpha' (for strings)

J ~ alpha'E^2

alpha' ~ (1Gev)^-2

as rotating Kerr black hole Wheeler "micro with effective strong gravity G* ~ 10^40G in Herbert Frohlich's "Collective Phenomena". Indeed, that's why Abdus Salam invited me to ICTP Trieste, Italy 1973-74 (e.g. contact Jagdish Mehra).

What will survive is the IR/UV duality. What about LIF/LNIF complementarity? Intriguing. What is completely missing in Lenny's theory is Vacuum ODLRO. For example, Lenny never considers a Bose-Einstein condensate in the vacuum in which there is a macroscopic eigenvalue of the first reduced density matrix. All eigenvalues must be less than 1 in Lenny's theory. Second, Lenny used a positive energy density to derive some of his key results when in fact negative zero point energy density would describe dark matter. Third, Lenny's ADS model has the wrong sign of the actually observed small post-inflation cosmological constant. How fatal this is I do not know yet. Perhaps he analytically continues to the DS model? That is ADS is "dark matter" with negative zero point energy density and positive pressure. DS is "dark energy" with positive zero point energy density and negative pressure. Furthermore, Lenny's equation for p the power of t in the FRW scale factor a(t) ~ t^p breaks down in the most important case, i.e. p -> infinity when w -> -1, which is the case for zero point energy. One nice idea is that the D3 brane of M-theory is the kind of 3+1 space-time we live in with the 6 extra space-time dimensions as "scalar fields". This fits well with Gennady Shipov's torsion field theory extension of 1915 GR. Indeed, if we interpret these scalar fields as vacuum ODLRO Higgs-Goldstone fields associated with the local gauging of the Lorentz group O(1,3) then the vacuum order parameter space is SU(2)xSU(2) consistent with the Hedgehog anomaly centered at Sun seen in the TWO NASA Pioneer Space Probes where a_g = - cH(t). All stars may have this property, i.e. part of stellar formation? Maybe even galaxies have it? That is vacuum ODLRO topological defects as seeds for early galaxy formation explaining galactic halos as well?

He opens up with the math of black holes in different coordinate representations. But you need to remember (or look up) your high school logarithms and the trigonometry formula for the tangent of the half-angle to show from eqs (1.1.2) to (1.1.4) that a signal from the black hole surface horizon never reaches the distant observers. The Penrose diagram makes that instantly obvious of course.

Comment 1

Lenny: "The paradox was discovered by Jacob Bekenstein and turned into a serious crisis by Stephen Hawking. ... Bekenstein realized that if the second law of thermodynamics was not to be violated in the presence of a black hole, the black hole must possess an intrinsic entropy. ... How and why a classical solution of field equations should be endowed with thermodynamical attributes has remained obscure."

Jack: The black hole is a property of Einstein's vacuum equation

Ruv = 0

However, this equation is a c-number emergent field theory from vacuum ODLRO. George Chapline, Jr and I have both arrived at this general idea quite independently. Let the vacuum ODLRO order parameter be

psi = |psi|e^iargpsi

suppress internal symmetry indices, but think of SU(2)hypercharge that has a neutral VEV in the standard model (evidence from NASA Pioneer anomaly a_g = -cH(t) as a hedgehog topological defect centered at Sun).

Let the Einstein-Cartan 1-form be

e = 1 + B

My ansatz is

B = (hG/c^3)^1/2d(argtheta)

with "string" branch cuts in argtheta

Therefore, there is no gravity and inertia when h -> 0 and c -> infinity even when G =/= 0. There is still some residual "normal fluid" fluctuations around the stiff vacuum order parameter psi that obeys the rules of micro-quantum theory as given by Lenny. The ratio of normal to superfluid obviously has a temperature parameter T. Therefore, Lenny's question is answered.

Comment 2

Lenny: "Eventually the black hole must completely evaporate. Hawking then raised the question of what becomes of the quantum correlations between matter outside the black hole and matter that disappears behind the horizon. ... Hawking then made arguments that there is no way, consistent with causality, for the correlations to be carried by the outgoing evaporation products."

Jack: So much the worse for causality, which here means no space-like influences outside the local light cones. Bell's theorem shows that such space-like influences are needed and they are locally random in micro-quantum theory consistent with the blackbody radiation.

Lenny: "Thus, according to Hawking, the existence of black holes inevitably causes a loss of quantum coherence and breakdown of one of the basic principles of quantum mechanics - the evolution of pure states into pure states."

Jack: So much the worse for micro-quantum mechanics. It's time to slaughter that Sacred Cow. Global special relativity of 1905 is violated by the necessity of gravity and inertia in local general relativity of 1915 where it is relegated to a purely local tangent space by the equivalence principle. In the same way micro-quantum mechanics is not complete, but merely corresponds to nonlocally entangled small fluctuations about the stiff macro-quantum vacuum ODLRO coherent order parameter that provides the local fabric of space-time via

B = (hG/c^3)^1/2d(argVacuum ODLRO).

Lenny: "Hawking further argued that once the loss of quantum coherence is permitted in black hole evaporation, it becomes compulsory in all processes involving the Planck scale. The world would behave as if it were in a noisy environment which continuously leads to a loss of coherence. The trouble with this is that there is no known way to destroy coherence without at the same time violating energy conservation by heating the world."

Jack: I need to see the math of the above argument. Why does not the expansion of the universe cool down this alleged heating effect? Also total energy is not necessarily conserved in curved space-time because of the breakdown of time translation symmetry. Presumably the book will explain this argument in more detail. Lenny wants to hold on to micro-quantum unitarity at all costs and I think this is the basic error in his thesis, but I could be wrong. The macro-quantum vacuum ODLRO order parameter does not obey a unitary time evolution. You cannot think of |psi|^2 as a Born quantum probability density like you can for micro-quantum wave functions.

Indeed the space integral of |psi(x)|^2 need not be a constant of the motion at all. For example, you have a pot of superfluid helium at almost T = 0 at t = 0 and then you slowly heat it. As you heat the superfluid it turns to normal fluid completely disappearing at the lambda point. In the case of vacuum ODLRO the "normal fluid" is the dark energy!

Comment 3
Lenny's Chapter 1 implicitly clearly shows why Hal Puthoff's PV alternative to the black hole is not a useful theory for metric engineering the fabric of space-time to reach the stars and other galaxies in a short time through wormholes held open by dark energy. Hal uses isotropic coordinates inside the event horizon where they are not appropriate. He says he can do that because his exponential metric does not have an event horizon. But in that case his solution does not obey Einstein's vacuum GR equation Ruv = 0. Therefore, PV theory conflicts with GR. Indeed, PV theory is not consistent with Diff(4) tensors and therefore, it violates the equivalence principle. In spite of that Hal Puthoff claims he is not offering a theory different from GR but only an "engineer's" way to do it. This, of course, is self-contradictory. Note that in George Chapline's "dark star" theory there is dark energy behind the event horizon, i.e. not Ruv = 0, but the same equation I use

Guv + /\zpfguv = 0

We do seem to need Gennady Shipov's torsion field beyond 1915 GR to allow

/\zpf^,v =/= 0 at the event horizon boundary because the Bianchi identities without torsion demand /\zpf^,v = 0.

Jack Sarfatti

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Black hole spirit according to a true leader

This book is an exciting review of the most important ideas that have emerged in our quest to understand black holes - essential labs that tell us a lot about quantum gravity and the deepest mysteries of the Universe.

It is an introduction but an introduction for a person who is serious about black holes, not just a person who wants to impress his friends with two emotional sentences about them!

Nevertheless, ordinary people should give it a try, especially plumbers because the author is also an ex-plumber whose father was a plumber and wanted his son to continue in the tradition.

It just happened that Susskind also became one of the top 5 black hole experts in the world. Please don't ask me to tell you who are the remaining four because it could be a tough task.

He's been waging a war against some superficially acceptable but wrong ideas - such as the information loss - and he became the winner. Meanwhile, he also co-discovered string theory and other things.

I don't know James Lindesay too well, so let me talk about Susskind as the author.

At the beginning of the book, you are presented with the geometry of the Schwarzschild black hole - especially what is its causal structure. Equations but also pictures are included. Various coordinates are used to find out who can escape from where etc. i.e. what is the causal diagram.

Following chapters are dedicated to quantum fields in this curved background and particle production, Unruh radiation and density matrix etc. When they have everything, they can finally explain why black hole evaporate (they're not quite black) and why they have a temperature and entropy.

Charged black holes differ in some details and they are explained, too. But all these semiclassical pictures are so 1970s. The laws of Nature must be unitary so something must be slightly different.

Susskind dedicates more than 1/2 of the book to the most modern interpretations and insights that have occurred in our research of string theory and closely related paradigms such as stretched horizons, baryon number violation by black holes, complementarity, holography (he is a co-father of both), related entropy bounds, the concise description of black holes in Maldacena's AdS/CFT, and light-cone descriptions of black holes.

If you want to know how black holes really work according to the best science we have as of 2008, read this book in detail. The author is one of the funniest top physicists and he writes in a no-nonsense style.

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reviews: page 1, 2

Over the last decade the physics of black holes has been revolutionized by developments that grew out of Jacob Bekenstein s realization that black holes have entropy. Stephen Hawking raised profound issues concerning the loss of information in black hole evaporation and the consistency of quantum mechanics in a world with gravity. For two decades these questions puzzled theoretical physicists and eventually led to a revolution in the way we think about space, time, matter and information. This revolution has culminated in a remarkable principle called The Holographic Principle , which is now a major focus of attention in gravitational research, quantum field theory and elementary particle physics. Leonard Susskind, one of the co-inventors of the Holographic Principle as well as one of the founders of String theory, develops and explains these concepts.

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