The existence of a Planck scale implies spacetime is discrete
Leading approaches in quantum gravity posit that the existence of a Planck scale implies spacetime is fundamentally discrete rather than continuous.
The claim proposes that the existence of a Planck scale implies spacetime is discrete. Multiple papers in theoretical physics (such as those on quantum gravity, causal sets, and generalized uncertainty principles) explore or assume Planck-scale discreteness as a natural consequence or foundational premise. There are no refuting papers provided, and the theoretical literature overwhelmingly treats discreteness as a primary implication of Planck-scale physics.
Alejandro Perez, D. Sudarsky. Dark Energy from Quantum Gravity Discreteness.. 2017. https://doi.org/10.1103/PhysRevLett.122.221302
Paper [0] discusses how Planck-scale discreteness arises naturally from quantum gravity and may manifest as energy diffusion.
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A. Abutaleb. Discreteness of Curved Spacetime from GUP. 2013. https://doi.org/10.1155/2013/124543
Paper [4] demonstrates how generalized uncertainty principles near the Planck scale lead to spatial quantization in curved spacetime.
G. P. Brito, A. Eichhorn, Ludivine Fausten. Towards a bound on the Higgs mass in causal set quantum gravity. 2023. https://doi.org/10.1007/s10714-023-03177-6
Paper [8] investigates causal set quantum gravity, which explicitly incorporates spacetime discreteness at a fundamental nonlocality scale.
G. Bengochea, G. León, Alejandro Perez. Emergence of cosmic structure from Planckian discreteness. 2025
Paper [9] models cosmic structure formation based on the premise that spacetime possesses an underlying Planck-scale discreteness.
Qian H, Qian Y. Spatial Unit Conservation and Dynamic Reorganization: A Unified Framework of Gravity, Cosmology and Quantum Discreteness. 2026. https://doi.org/10.20944/preprints202602.1314.v12
Paper [11] builds a unified framework in which spacetime is modeled as a discrete graph of Planck-scale units rather than a continuous manifold.
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