Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy

Abstract

Lower-dimensionality at higher energies has manifold theoretical advantages as recently pointed out. Moreover, it appears that experimental evidence may already exists for it - a statistically significant planar alignment of events with energies higher than TeV has been observed in some earlier cosmic ray experiments. We propose a robust and independent test for this new paradigm. Since (2+1)-dimensional spacetimes have no gravitational degrees of freedom, gravity waves cannot be produced in that epoch. This places a universal maximum frequency at which primordial waves can propagate, marked by the transition between dimensions. We show that this cut-off frequency may be accessible to future gravitational wave detectors such as LISA.

Somewhat expanded version with discussions that could not fit into the PRL version; references added

References in corpus (7)

• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• Cascading DGP
• A gravitational-wave probe of effective quantum gravity
• Quantum Gravity in 2+1 Dimensions
• Quantum Gravity, or The Art of Building Spacetime
• Coupling running through the Looking-Glass of dimensional Reduction
• Thermal gravity, black holes and cosmological entropy

Cited by in corpus (19)

• Dimension and Dimensional Reduction in Quantum Gravity
• Dirac fermions in strong gravitational fields
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• Emergent Spacetime in Stochastically Evolving Dimensions
• Revisit on two-dimensional self-gravitating kinks: superpotential formalism and linear stability
• Multibrane DGP model: Our universe as a stack of $(2+1)$-dim branes
• Classification of Gravitational Waves in Higher-dimensional Space-time and Possibility of Observation
• Extending cascading gravity model to lower dimensions
• Spontaneous Spacetime Reduction and Unitary Weak Boson Scattering at the LHC
• Effects of a Late Gravitational Transition on Gravitational Waves and Anticipated Constraints
• Aspects of Quantum Gravity in Cosmology
• A possible cosmological application of some thermodynamic properties of the black body radiation in $n-$dimensional Euclidean spaces
• Vanishing dimensions: Review
• Ultraviolet dimensional reduction of spacetime with zero-point length
• A consistent quantum field theory from dimensional reduction
• The holographic state of matter and its implications for quantum gravity
• Primordial black holes in a dimensionally oxidizing Universe
• Quantum Field Theory on Multifractal Spacetime: Varying Dimension and Ultraviolet Completeness
• Newtonian approximation in (1 + 1) dimensions