2007/04/11 by Chris Austin, Austin, Chris
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect
paper · pdf · doi:10.48550/arxiv.0704.1476
openalex publication_date 2007/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The field equations and boundary conditions of Horava-Witten theory,\ncompactified on a smooth compact spin quotient of CH3, where CH3 denotes the\nhyperbolic cousin of CP3, are studied in the presence of Casimir energy\ndensity terms. If the Casimir energy densities near one boundary result in a\ncertain constant of integration taking a value greater than around 105 in\nunits of the d = 11 gravitational length, a form of thick pipe geometry is\nfound that realizes TeV-scale gravity by the ADD mechanism, with that boundary\nbecoming the inner surface of the thick pipe, where we live. Three alternative\nways in which the outer surface of the thick pipe might be stabilized\nconsistent with the observed value of the effective d = 4 cosmological constant\nare considered. In the first alternative, the outer surface is stabilized in\nthe classical region and the constant of integration is fixed at around 1013\nin units of the d = 11 gravitational length for consistency with the observed\ncosmological constant. In the second alternative, the four observed dimensions\nhave reduced in size down to the d = 11 gravitational length at the outer\nsurface, and there are Casimir effects near the outer surface. In the third\nalternative, the outer surface is stabilized in the classical region by extra\nfluxes of the three-form gauge field, whose four-form field strength wraps\nthree-cycles of the compact six-manifold times the radial dimension of the\nthick pipe. Some problems related to fitting the strong/electroweak Standard\nModel are considered.\n