arXiv:2505.11560v1 Announce Type: new
Abstract: We propose that the observed value of the cosmological constant may be explained by a fundamental uncertainty in the spacetime metric, which arises when combining the principle that mass and energy curve spacetime with the quantum uncertainty associated with particle localization. Since the position of a quantum particle cannot be sharply defined, the gravitational influence of such particles leads to intrinsic ambiguity in the formation of spacetime geometry. Recent experimental studies suggest that gravitational effects persist down to length scales of approximately $10^{-5}$ m, while quantum coherence and macroscopic quantum phenomena such as Bose-Einstein condensation and superfluidity also manifest at similar scales. Motivated by these findings, we identify a length scale of spacetime uncertainty, $L_Z sim 2.2 times 10^{-5}$ m, which corresponds to the geometric mean of the Planck length and the radius of the observable universe. We argue that this intermediate scale may act as an effective cutoff in vacuum energy calculations. Furthermore, we explore the interpretation of dark energy as a Bose-Einstein distribution with a characteristic reduced wavelength matching this uncertainty scale. This approach provides a potential bridge between cosmological and quantum regimes and offers a phenomenologically motivated perspective on the cosmological constant problem.
Conclusions
The observed value of the cosmological constant may be explained by a fundamental uncertainty in the spacetime metric, arising from the combination of mass-energy curvature of spacetime with quantum uncertainty in particle localization. This intrinsic ambiguity in spacetime geometry due to gravitational effects at small scales suggests a length scale of spacetime uncertainty at $L_Z sim 2.2 times 10^{-5}$ m. This intermediate scale may serve as an effective cutoff in vacuum energy calculations, with dark energy potentially being interpreted as a Bose-Einstein distribution matching this uncertainty scale.
Future Roadmap
Challenges:
- Experimental confirmation of the proposed length scale of spacetime uncertainty
- Developing mathematical models to quantify the effects of spacetime ambiguity on vacuum energy
- Further exploration of the implications for cosmology and quantum mechanics
Opportunities:
- Bridge the gap between cosmological and quantum regimes
- Provide a new perspective on the cosmological constant problem
- Potential for innovative approaches to unify gravitational and quantum theories