The Dark Sector as Truncation Decit: Dark Matter, Dark Energy, and the Cosmological Constant as Projections of Ω = 1
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2026
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| author | Aisingioro Ollervides, Vinness |
| author_facet | Aisingioro Ollervides, Vinness |
| contents | <p>The standard cosmological model (ΛCDM) identies three components of the</p> <p>universe's energy budget: baryonic matter (≈5%), dark matter (≈27%), and dark</p> <p>energy (≈68%). The latter two are detected only gravitationally and remain unex-</p> <p>plained after ve decades of direct-detection experiments.</p> <p>We propose that this decomposition is not a decomposition of dierent substances</p> <p>but a decomposition of dierent projection operators applied to the Ω = 1 invariant.</p> <p>ˆ</p> <p>Main claim: Let</p> <p>Π<span>EM </span>be the projection operator onto states that couple to the</p> <p>ˆ</p> <p>electromagnetic eld, and</p> <p>Π<span>grav </span>be the projection onto states that contribute to the</p> <p>stress-energy tensor T<span>µν</span>. Then:</p> <p>ˆ</p> <p><span>ρ</span>baryon <span>= Tr(</span></p> <p><span>Π</span>EM</p> <p>ˆ</p> <p>ˆ</p> <p>ˆ</p> <p>ˆ</p> <p>ˆ</p> <p>Π<span>grav </span>|Ω⟩⟨Ω|), ρ<span>DM </span>= Tr((</p> <p><span>Π</span>grav<span>−</span></p> <p><span>Π</span>EM</p> <p>Π<span>grav</span>) |Ω⟩⟨Ω|), Λ = 1−Tr(</p> <p>Π<span>grav </span>|Ω⟩⟨Ω|).</p> <p>Dark matter is the gravitational projection minus the electromagnetic projection.</p> <p>Dark energy is the residual: the part of Ω = 1 that does not project into the matter</p> <p>sector at all.</p> <p>The coincidence problemwhy ρ<span>DM</span>/ρ<span>baryon </span>≈5 and Ω<span>Λ </span>≈0.68 nowdissolves:</p> <p>these ratios are xed by the relative sizes of the projection operators, which are</p> <p>structural constants of Ω, not ne-tuned parameters.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18876584 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Dark Sector as Truncation Decit: Dark Matter, Dark Energy, and the Cosmological Constant as Projections of Ω = 1 Aisingioro Ollervides, Vinness <p>The standard cosmological model (ΛCDM) identies three components of the</p> <p>universe's energy budget: baryonic matter (≈5%), dark matter (≈27%), and dark</p> <p>energy (≈68%). The latter two are detected only gravitationally and remain unex-</p> <p>plained after ve decades of direct-detection experiments.</p> <p>We propose that this decomposition is not a decomposition of dierent substances</p> <p>but a decomposition of dierent projection operators applied to the Ω = 1 invariant.</p> <p>ˆ</p> <p>Main claim: Let</p> <p>Π<span>EM </span>be the projection operator onto states that couple to the</p> <p>ˆ</p> <p>electromagnetic eld, and</p> <p>Π<span>grav </span>be the projection onto states that contribute to the</p> <p>stress-energy tensor T<span>µν</span>. Then:</p> <p>ˆ</p> <p><span>ρ</span>baryon <span>= Tr(</span></p> <p><span>Π</span>EM</p> <p>ˆ</p> <p>ˆ</p> <p>ˆ</p> <p>ˆ</p> <p>ˆ</p> <p>Π<span>grav </span>|Ω⟩⟨Ω|), ρ<span>DM </span>= Tr((</p> <p><span>Π</span>grav<span>−</span></p> <p><span>Π</span>EM</p> <p>Π<span>grav</span>) |Ω⟩⟨Ω|), Λ = 1−Tr(</p> <p>Π<span>grav </span>|Ω⟩⟨Ω|).</p> <p>Dark matter is the gravitational projection minus the electromagnetic projection.</p> <p>Dark energy is the residual: the part of Ω = 1 that does not project into the matter</p> <p>sector at all.</p> <p>The coincidence problemwhy ρ<span>DM</span>/ρ<span>baryon </span>≈5 and Ω<span>Λ </span>≈0.68 nowdissolves:</p> <p>these ratios are xed by the relative sizes of the projection operators, which are</p> <p>structural constants of Ω, not ne-tuned parameters.</p> |
| title | The Dark Sector as Truncation Decit: Dark Matter, Dark Energy, and the Cosmological Constant as Projections of Ω = 1 |
| url | https://doi.org/10.5281/zenodo.18876584 |