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This theoretical paper proposes a quantum mechanical uncertainty principle applied to cosmology, suggesting that the universe's size and expansion rate cannot be precisely determined simultaneously. This framework introduces a modified Friedmann equation that can explain late-universe acceleration (dark energy) without requiring exotic particles or fields, depending on a single free parameter. The model also potentially resolves the big bang singularity through a nonsingular bounce scenario when certain parameter values are chosen.
Why it matters
If validated, this approach could provide a simpler explanation for cosmic acceleration that unifies quantum mechanics with cosmology at horizon scales rather than Planck scales. The model makes testable predictions for expansion history that can be verified using current and upcoming large-scale structure surveys, potentially eliminating the need for dark energy as a separate component.
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⚠️ Preprint – Noch nicht peer-reviewed
Dieser Artikel wurde noch nicht von unabhängigen Experten begutachtet. Die Ergebnisse sind vorläufig und sollten mit Vorsicht interpretiert werden.
Abstract: We propose that the size of the universe and its expansion rate cannot be simultaneously specified with arbitrary precision–a quantum mechanical uncertainty encoded via a deformed commutation relation for the scale factor. This deformation introduces a geometric correction to the Friedmann equation, where the resulting cosmological dynamics are governed entirely by the sign and magnitude of a single free exponent. For a positive exponent, the model predicts late-time dark energy with $w>-1$, leaving a distinct expansion history that is testable by current and next-generation large-scale structure surveys. Conversely, a sufficiently negative exponent yields a nonsingular classical bounce, resolving the big bang singularity. Notably, the model requires no exotic particles or fields and preserves a scale-invariant primordial power spectrum. Rather than operating at the Planck length, this deformation naturally manifests as a horizon-scale phenomenon set by the cosmological horizon. Within this framework, cosmic acceleration emerges as the macroscopic imprint of quantum gravity at the cosmological horizon.
Source: A Cosmological Uncertainty Relation and Late-Universe Acceleration