Six easy roads to the Planck scale

Abstract

We give six arguments that the Planck scale should be viewed as a fundamental minimum or boundary for the classical concept of spacetime, beyond which quantum effects cannot be neglected and the basic nature of spacetime must be reconsidered. The arguments are elementary, heuristic, and plausible, and as much as possible rely on only general principles of quantum theory and gravity theory. The paper is primarily pedagogical, and its main goal is to give physics students, non-specialists, engineers etc. an awareness and appreciation of the Planck scale and the role it should play in present and future theories of quantum spacetime and quantum gravity.

22 pages and 6 figures

References in corpus (4)

• The Generalized Uncertainty Principle and Black Hole Remnants
• Derivation of a Vacuum Refractive Index in a Stringy Space-Time Foam Model
• Probing spacetime foam with extragalactic sources
• Planck-scale Lorentz-symmetry test theories

Cited by in corpus (50)

• Minimal length, maximal momentum and Hilbert space representation of quantum mechanics
• Parameterized Post-Einsteinian Gravitational Waveforms in Various Modified Theories of Gravity
• Self-Completeness and the Generalized Uncertainty Principle
• Constraints on the rotating self-dual black hole with quasi-periodic oscillations
• Testing Gravity with Gravitational Waves from Binary Black Hole Mergers: Contributions from Amplitude Corrections
• Self-completeness and spontaneous dimensional reduction
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• The Compton-Schwarzschild correspondence from extended de Broglie relations
• Self-complete and GUP-Modified Charged and Spinning Black Holes
• Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics
• Observational tests of the self-dual spacetime in loop quantum gravity
• Lorentz Invariance Violation and Generalized Uncertainty Principle
• Minimum length effects in black hole physics
• Experimental Search for Quantum Gravity
• EUP-corrected thermodynamics of BTZ black hole
• The Constraints and Spectra of a Deformed Quantum Mechanics
• On deformations of classical mechanics due to Planck-scale physics
• Schwinger Pair Production and the Extended Uncertainty Principle: Can Heuristic Derivations Be Trusted?
• Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
• Three new roads to the Planck scale
• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• The Compton-Schwarzschild relations in higher dimensions
• The Generalized Uncertainty Principle and Higher Dimensions: Linking Black Holes and Elementary Particles
• Implication of geodesic equation in Generalized Uncertainty Principle framework
• Quantum Gravity Effects On Charged Micro Black Holes Thermodynamics
• Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints
• Micro black holes in the laboratory
• The role of an invariant IR cutoff in late time cosmological dynamics
• The Hawking temperature, the uncertainty principle and quantum black holes
• Deformed Gazeau-Klauder Schrödinger-Cat States with Modified Commutation Relations
• Feasibility of Primordial Black Hole Remnants as Dark Matter in View of Hawking Radiation Recoil
• Dual DSR
• Some consequences of GUP induced ultraviolet wavevector cutoff in one-dimensional Quantum Mechanics
• Quantum Corrected Geodesic Motion in Polymer Kerr-like Spacetime
• Generalized uncertainty principle and neutrino phenomenology
• Penetration of Arbitrary Double Potential Barriers with Probability Unity: Implications for Testing the Existence of a Minimum Length
• Black-hole analog in vehicular traffic
• Reconciling microscopic and macroscopic tests of the Compton-Schwarzschild correspondence
• The Black Hole Uncertainty Principle Correspondence
• The little robot, black holes, and spaghettification
• How strings can explain regular black holes
• A Note on Coherent States with Quantum Gravity Effects
• Unraveling the mystery of the cosmological constant: Does spacetime uncertainty hold the key?
• Stephen Hawking and the quantum black holes / Stephen Hawking y los agujeros negros cuanticos
• Combining the Generalized and Extended Uncertainty Principles
• At the Edge of Uncertainty: Decoding the Cosmological Constant value with Bose-Einstein Distribution
• Particle in a cavity in one-dimensional bandlimited quantum mechanics
• Charged Massive Particle's Tunneling From Charged Non-Rotating Micro Black Hole
• Implications of New Quantum Spin Perspective In Quantum Gravity
• Generalized uncertainty principle for a Dirac fermion in a torsion field