The Quantum Structure of Space and Time (293 pages)

80 The Quantum Structure of Space and Time by contrast to the roots that entered the checks [l, 81 which were all “real” with (a ...

Szngzllaritzes 81 [ll] T. Damour, A. Kleinschmidt and H. Nicolai, “Hidden symmetries and the fermi- onic sector of eleven-dimens ...

82 The Quantum Structure of Space and Time 3.8 Discussion J. Harvey There is a five-dimensional supergravity formally similar to ...

Singularities^83 (which becomes massive). The Big Bang would then not be so big after all. 3.9 Prepared Comments 3.9.1 Abhay Ash ...

84 The Quantum Structure of Space and Time the scale factor a and the matter field 4. They are subject to a quantum constraint, ...

Singularities 85 p4, there are two trajectories: one starting out at the Big Bang and expanding and the other contracting in to ...

86 The Quantum Structure of Space and Time the Planck density, i.e., when the universe is large. Finally, a key consequence of ( ...

Singularities^87 3.10 Discussion S. Kachru Through much of your discussion, you worked with a truncated Hilbert space. What are ...

88 The Quantum Structure of Space and Time of freedom are correlated and interact with each other, but one can allow for many mo ...

Singularities 89 singularity, whether or not there was a bounce. P. Steinhardt Your description of the situation is a misconcept ...

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Session 4 Mathematical Structures Chair: Hiroshi Ooguri, Caltech, USA Rapporteur: Robbed Dijlcgrauf, University of Amsterdam, th ...

92 The Quantum Structure of Space and Time geometry, is definitely not a new phenomenon. Mathematics has a long history of drawi ...

Mathematical Stmctures 93 and topology back to forefront. Indeed, it is remarkable fact, that all the ingredients of the standar ...

94 The Quantum Structure of Space and Time 4.1.2.1 String theory and mathematics First of all, it must be said that the subject ...

Mathematical Structures 95 Recently there has been much progress in understanding a more fundamental description of string theor ...

(^96) The Quantum Structure of Space and Time theory. Correspondence principle. Whatever quantum geometry is, it should reduce t ...

Mathematical Structures 97 As such the space-time metric gpv is not an invariant concept, but dependent on the “duality frame.” ...

98 The Quantum Structure of Space and Time a’ large a‘ M 0 described in terms of loop spaces and sums over surfaces. In theories ...

Mathematical Structures 99 4.1.3.1 Quantum mechanics and point particles As a warm-up let us start by briefly reviewing the quan ...