Quantum Triangulations: Moduli Spaces, Strings, and Quantum Computing

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Springer Science & Business Media, Jan 14, 2012 - Science - 284 pages

Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physical theories are typically formulated, but their appearance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a way which makes manifest the basic geometric structures of the physical interactions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physical theory to make it more amenable for numerical treatment.

The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of cases studies, the connection between triangulated manifolds and quantum physics to the deepest.

This volume addresses applied mathematicians and theoretical physicists working in the field of quantum geometry and its applications.

 

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GENOCIDE PROYEC https://docs.google.com/open?id=0B7rdd1w6dkcSamZTX1ZNWWZmVkk
Different agencies who perform these activities from satellites in some Latin American countries:
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* AGENCIES
- SNIPER ELITE - SEAL USA ARMY - eliax - Suizan AGENCIES - GERMANY agencys.
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Juan Carlos Vallejos
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04144229169 -0414-585-00-44- 0414-4066852
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Brain Brainwashing Nano Washing with Computers.
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  Brainwashing subjects of studies of the human race this is done searing memory processing areas in the hypothalamus, these dying cells stop producing the electrochemical reactions that cause the individual remember to treat the evidence no sen these agencies noted or visible downloaders in nano voltaic cell bodies imitating duplication process and growth of nerve cells, the time when performing these types of duplication are nano seconds, while trying to remember the individual any event, with nano computers, disconnections occur between different areas of the brain and hypothalamus, treating the subject performing the processes of hearing, speech, sensation, vision, perception does not remember what happens or happened in time which is in courts.
Example 1: When disconnecting the processing centers of vision and connections with the hypothalamus and optic nerves the person could fail to perceive images and stimuli of different areas in the brain remembering that areas in the brain even when you are not normally would process visual stimuli, process information such as the psyche and the brain to bring information to the scepters that makes the individual recognize the images. Various studies have shown that the processing centers atmosphere activities take information but generally the brain processes the information to then be understood.
Example 2: to communicate with the people around us, the hypothalamus and various brain regions electrochemical reactions to produce speech, some agencies treat this process is not carried out, among the techniques used, found, burns to the processing center stimulus that occurs in the process of speaking, suppose you are going to say the words "I are burning the brain" and any intelligence agency wants not hear this kind of talk, in fractions of nanoseconds, cauterized the areas where discharges occur nanovoltaicas that would make people talk and say such words, this happens at the speed of light, to say the words (I - are-burned - on ....), the agency cauterized areas making a word than such as nerve cells that produce this type of electrochemical downloads do not exist. Sometime could cauterize any area where the electrochemical reactions occur and specific words nanovoltaicas downloads large number of dying cells in different areas so the word did not think the subject says or when trying to speak different interruption occurs which other cells or other areas of the brain trying to send voltaic nano downloads as a mechanism for the individual to speak. It also happens that these agencies produce electrochemical discharges and lullabies voltaic cells to grow so that the subject can do the activities that comprise the complexities of communication, vision, hearing.
Example 3: to produce genetic damage and treat the individual does not remember any specific situation, cauterized to cells at birth or duplicated the cell is not the same length in the DNA molecule, you could ask what is the relationship between DNA length and memories, all stimulus produces changes in the DNA molecule, which make these occur, stimuli based on environmental stimuli around us, this process is called, molecular-genetic memory, that would to distinguish it from the memory which is described in literature (neuro psychiatry), nerve cells, whose reactions, changes in shape acting on the internal organs of nerve cells, synaptic processes, the number of molecules emerge in the reactions of each synapse (by stimuli of environment) and each nerve cell connections, so that the subject can remember every change that has occurred both in the
 

Contents

1 Triangulated Surfaces and Polyhedral Structures
1
2 Singular Euclidean Structures and Riemann Surfaces
55
3 Polyhedral Surfaces and the WeilPetersson Form
82
4 The Quantum Geometry of Polyhedral Surfaces
115
5 State Sum Models and Observables
175
6 Combinatorial Framework for Topological Quantum Computing
217
Appendix A A Capsule of Moduli Space Theory
255
Appendix B Spectral Theory on Polyhedral Surfaces
273
Index
279
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