## Quantum Fluctuations of SpacetimeThree key aspects of quantum gravity are considered in this book: phenomenology, potential experimental aspects and foundational theory. The phenomenology is the treatment of metric quantum fluctuations as torsional curves that deviate from classical expectations. This leads to possible experimental configurations that may detect such fluctuations. Most of these proposed experiments are quantum optical measurements of subtle quantum gravity effects in the interaction of photons and atoms. The foundational discussions attempt to find an substratum to string theories, which are motivated by the phenomenological treatment. Quantum gravity is not the quantization of general relativity, but is instead the embedding of quantum theory and gravitation into a more fundamental field theoretic framework. |

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### Contents

Why Quantum Fluctuations of Spacetime? | 1 |

Quantum Fluctuations and Spacetime | 21 |

Detection of Quantum Gravity Fluctuations and Cosmology | 85 |

Quantum Gravity Fluctuations Strings and Two Dimensional DBranes | 139 |

Topology Extra Large Dimensions and The Higgs Field | 193 |

Zeta Functions Topological Quantum Numbers and MTheory | 228 |

The Generalized Uncertainty Principle | 243 |

Octonionic Quantum Gravity | 276 |

Physical Law from No Law | 333 |

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acceleration according action associated atom boson bundle Cauchy horizon classical compactified connection Consider constant coordinates cosmology curvature D-brane D5-brane defines detected determined dimensional dimensions dual duality eigenvalues elements energy entangled entropy equivalent event horizon evolution exist experimental fermion field theory gauge fields gauge theory geometry gives Hamiltonian hidden variable Higgs field Hilbert space holographic principle horizon algebra indicates induced interaction involves Lagrangian laser lattice Lorentz mass matrix measure metric fluctuations moduli space momentum observer octonions parameter particle path integral phase photon Phys physics Planck length Planck scale Planck units quantum black hole quantum fluctuations quantum gravity quantum gravity fluctuations quantum gravity vacuum quantum information quantum mechanics quaternions region renormalization result Ricci rotation spacetime fluctuations spacial sphere spin structure supersymmetry symmetry tensor term theorem thermal topological torsional transformation uncertainty principle universe vector virtual black holes wave function Wheeler-DeWitt equation wormhole zero