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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19640336 |
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| author | Saikia., Srimanta |
| author_facet | Saikia., Srimanta |
| contents | <p>Paper 3 of 3 in the SPACE S Model series. We present the complete Lagrangian formulation of a cyclic, non-singular cosmology with inter-universe coupling λ. Defining R₁₂(t) ≡ R₀a(t), we derive modified Friedmann equations and prove exact energy conservation: ρ₁a₁³ + ρ₂a₂³ + λM_P²R₁₂³ = const. Using Planck 2018 CMB data, we constrain λ < 1.02×10⁻²² J/m at 95% CL. The model predicts 8% suppression in the matter power spectrum at k = 0.1 h/Mpc, detectable by Euclid 2027 at 4.8σ. The tensor-to-scalar ratio r = 0.028 satisfies BICEP/Keck bounds. The theory is ghost-free, stable, and falsifiable per Popper's criterion.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19640336 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Lagrangian Formulation and Observational Constraints on the SPACE S Model Saikia., Srimanta Cosmology Cyclic universe Srimanta Saikia Space S Model Euclid Modified gravity <p>Paper 3 of 3 in the SPACE S Model series. We present the complete Lagrangian formulation of a cyclic, non-singular cosmology with inter-universe coupling λ. Defining R₁₂(t) ≡ R₀a(t), we derive modified Friedmann equations and prove exact energy conservation: ρ₁a₁³ + ρ₂a₂³ + λM_P²R₁₂³ = const. Using Planck 2018 CMB data, we constrain λ < 1.02×10⁻²² J/m at 95% CL. The model predicts 8% suppression in the matter power spectrum at k = 0.1 h/Mpc, detectable by Euclid 2027 at 4.8σ. The tensor-to-scalar ratio r = 0.028 satisfies BICEP/Keck bounds. The theory is ghost-free, stable, and falsifiable per Popper's criterion.</p> |
| title | Lagrangian Formulation and Observational Constraints on the SPACE S Model |
| topic | Cosmology Cyclic universe Srimanta Saikia Space S Model Euclid Modified gravity |
| url | https://doi.org/10.5281/zenodo.19640336 |