By Leonard Susskind

ISBN-10: 9812561315

ISBN-13: 9789812561312

During the last decade the physics of black holes has been revolutionized by means of advancements that grew out of Jacob Bekenstein s awareness that black holes have entropy. Stephen Hawking raised profound matters in regards to the lack of info in black gap evaporation and the consistency of quantum mechanics in an international with gravity. for 2 many years those questions questioned theoretical physicists and finally resulted in a revolution within the method we predict approximately area, time, subject and data. This revolution has culminated in a notable precept referred to as The Holographic precept , that is now a massive concentration of realization in gravitational learn, quantum box concept and straightforward particle physics. Leonard Susskind, one of many co-inventors of the Holographic precept in addition to one of many founders of String conception, develops and explains those thoughts.

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**Extra resources for An Introduction To Black Holes Information And The String Theory**

**Example text**

In that way we can use the special relativistic laws of nature to understand the eﬀect of a gravitational ﬁeld. As we have seen, the relativistic analogue of a uniformly accelerated frame is Rindler space. Because Rindler space covers only a portion of the space-time geometry (Region I) there are new and subtle features to the description of quantum ﬁelds. These features are closely associated with the existence of the horizon. The method we will use applies to any relativistic quantum ﬁeld theory including those with nontrivial interactions.

The same potential governs the motion of massless classical particles. One can see that the points rmax ( ) represent unstable circular orbits, and For Scalar Wave Equation in a Schwarzschild Background 27 V (r) =2 Region of Thermal Atmosphere =1 =0 r 2MG Fig. 1 3MG 4MG 5MG 6MG Eﬀective potential for free scalar ﬁeld vs Schwarzschild radial coordinate the innermost such orbit is at r = 3M G. Any particle that starts with vanishing radial velocity in the region r < 3M G will spiral into the horizon.

5) Thus far the quantization rules are quite conventional. 8) These particles constitute the thermal atmosphere. The reader might wonder what goes wrong if we choose the state which is annihilated by the a’s. Such a state is not at all invariant under translations of the original Minkowski coordinates Z and T . In fact, a careful computation of the expectation value of T µν in this state reveals a singular behavior at the horizon. Certainly this is not a good candidate to represent the original Minkowski vacuum.

### An Introduction To Black Holes Information And The String Theory by Leonard Susskind

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