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Published June 3, 2026 | Version v2.0
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Local Self-Screening of Zero-Point Stress and Correlation Residue as an Effective Cosmological Constant

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Description

This research note proposes a possible reformulation of the cosmological constant problem based on local monopole self-screening of zero-point stress. The large microscopic zero-point stress is not assumed to be small; rather, its local monopole component is assumed to be screened by a vacuum response required for stability, so that it does not appear directly as a long-range gravitational source.

The observed cosmological-constant-like component is instead modeled as a coarse-grained stress-correlation residue, obtained through a nonlinear response-kernel projection of connected stress-tensor two-point functions. The note also presents a possible early-universe extension in which this self-screening is phase-dependent: an initially weakly screened vacuum may leave a large vacuum-like stress driving inflation-like expansion, while relaxation into a self-screened phase suppresses the monopole component and may provide a phenomenological route to reheating.

This is not claimed as a complete microscopic theory, but as an effective research program connecting zero-point stress, vacuum reaction, stress correlations, and a possible phase-dependent origin of both early vacuum-dominated expansion and the late-time dark-energy-like residue.

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Subtitle (English)
Local Self-Screening of Zero-Point Stress and Correlation Residue as an Effective Cosmological Constant A Research Note with a Possible Early-Universe Extension

Dates

Submitted
2026-06-01
First version
Updated
2026-06-03
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References

  • 1. S. Weinberg, "The Cosmological Constant Problem," *Reviews of Modern Physics* **61**, 1–23 (1989). DOI: 10.1103/RevModPhys.61.1. 2. N. D. Birrell and P. C. W. Davies, *Quantum Fields in Curved Space*, Cambridge University Press, Cambridge (1982). 3. R. M. Wald, *Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics*, University of Chicago Press, Chicago (1994). 4. L. Parker and D. Toms, *Quantum Field Theory in Curved Spacetime: Quantized Fields and Gravity*, Cambridge University Press, Cambridge (2009). 5. B. L. Hu and E. Verdaguer, "Stochastic Gravity: Theory and Applications," *Living Reviews in Relativity* **11**, 3 (2008). DOI: 10.12942/lrr-2008-3. 6. B. L. Hu and E. Verdaguer, *Semiclassical and Stochastic Gravity: Quantum Field Effects on Curved Spacetime*, Cambridge University Press, Cambridge (2020). 7. N. Kaloper and A. Padilla, "Sequestering the Standard Model Vacuum Energy," *Physical Review Letters* **112**, 091304 (2014). DOI: 10.1103/PhysRevLett.112.091304. 8. N. Kaloper, A. Padilla, D. Stefanyszyn, and G. Zahariade, "A Manifestly Local Theory of Vacuum Energy Sequestering," *Physical Review Letters* **116**, 051302 (2016). DOI: 10.1103/PhysRevLett.116.051302. 9. A. Padilla, "Lectures on the Cosmological Constant Problem," arXiv:1502.05296 [hep-th] (2015). 10. C. P. Burgess, "The Cosmological Constant Problem: Why it is Hard to Get Dark Energy from Micro-physics," arXiv:1309.4133 [hep-th] (2013). 11. S. M. Carroll, "The Cosmological Constant," *Living Reviews in Relativity* **4**, 1 (2001). DOI: 10.12942/lrr-2001-1. 12. T. Padmanabhan, "Cosmological Constant — the Weight of the Vacuum," *Physics Reports* **380**, 235–320 (2003). DOI: 10.1016/S0370-1573(03)00120-0. 13. A. G. Riess et al., "Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant," *The Astronomical Journal* **116**, 1009–1038 (1998). DOI: 10.1086/300499. 14. S. Perlmutter et al., "Measurements of $\Omega$ and $\Lambda$ from 42 High-Redshift Supernovae," *The Astrophysical Journal* **517**, 565–586 (1999). DOI: 10.1086/307221. 15. Planck Collaboration, N. Aghanim et al., "Planck 2018 Results. VI. Cosmological Parameters," *Astronomy & Astrophysics* **641**, A6 (2020). DOI: 10.1051/0004-6361/201833910.