Vanishing Dimensions and Planar Events at the LHC

Abstract

We propose that the effective dimensionality of the space we live in depends on the length scale we are probing. As the length scale increases, new dimensions open up. At short scales the space is lower dimensional; at the intermediate scales the space is three-dimensional; and at large scales, the space is effectively higher dimensional. This setup allows for some fundamental problems in cosmology, gravity, and particle physics to be attacked from a new perspective. The proposed framework, among the other things, offers a new approach to the cosmological constant problem and results in striking collider phenomenology and may explain elongated jets observed in cosmic-ray data.

v1: 5 pages revtex, 1 eps figure; v2: includes extensive discussion on violation of Lorentz invariance, featured in a Nature editorial [Nature 466 (2010) 426] http://www.nature.com/news/2010/100720/full/466426a.html; v3: discussion expanded, matching journal version

References in corpus (5)

• Probing quantum gravity using photons from a flare of the active galactic nucleus Markarian 501 observed by the MAGIC telescope
• Cascading DGP
• Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy
• Searching for the Layered Structure of Space at the LHC
• Reply to the "Comment on: Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy"

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• Coupling running through the Looking-Glass of dimensional Reduction
• Horizon Quantum Mechanics: a hitchhiker's guide to quantum black holes
• Metric dimensional reduction at singularities with implications to Quantum Gravity
• An anisotropic universe due to dimension-changing vacuum decay
• Horizon of quantum black holes in various dimensions
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
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• Solutions of the Klein-Gordon equation on manifolds with variable geometry including dimensional reduction
• Extending cascading gravity model to lower dimensions
• Unitary Standard Model from Spontaneous Dimensional Reduction and Weak Boson Scattering at the LHC
• Multibrane DGP model: Our universe as a stack of $(2+1)$-dim branes
• Spin effects and compactification
• Spontaneous Spacetime Reduction and Unitary Weak Boson Scattering at the LHC
• Ultraviolet dimensional reduction of spacetime with zero-point length
• A consistent quantum field theory from dimensional reduction
• Primordial scalar gravitational waves produced at the QCD phase transition due to the trace anomaly
• Primordial black holes in a dimensionally oxidizing Universe
• Statistics of energy partitions for many-particle systems in arbitrary dimension
• Minimal Proper-time in Quantum Field Theory
• Quantum Field Theory on Multifractal Spacetime: Varying Dimension and Ultraviolet Completeness