The Spectral Gap in de Sitter Holography as Evidence of Informational Sparsity

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What the data actually shows: Decades of research into the spectral gap in de sitter holography as evidence of informational sparsity have produced fragmented results because the underlying information-theoretic foundation was never recognized.
Why this is necessary: The only stable configuration that allows both maximum informational richness and long-term stability requires the spectral gap in de sitter holography as evidence of informational sparsity.
What current approaches miss: The information-polarity framework was never applied at this scale, leaving the field with fragmented and often contradictory explanations.
If this is right: Transforms the spectral gap in de sitter holography as evidence of informational sparsity from a mysterious anomaly into a predictable and optimizable feature of reality.

Series vertex. No documented primary-theorem join — Art.24 stays in the Idea Series.

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Stake a prior. Name the disagreement. Not a theorem.

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de Sitter holography · holography / Page curve. A paper can support a concept. It cannot support a necessity claim. Art.24 remains unproved by every card below.

Support · living source

Tight papers that bear on concepts inside Art.24. A DOI is not a join.

Strominger, A. (2001). The dS/CFT correspondence. JHEP 10 (2001) 034.
A holographic dual proposed for de Sitter, still incompletely defined.
Does not support the necessity claim
Open original
Ooguri, H., Palti, E., Shiu, G. & Vafa, C. (2019). Distance and de Sitter conjectures on the Swampland. Phys. Lett. B 788, 180.
Constraints on scalar potentials and distances in quantum gravity.
Does not support the necessity claim
Open original
Bousso, R. (2002). The holographic principle. Rev. Mod. Phys. 74, 825.
Covariant entropy bound: information capacity is area-limited.
Does not support the necessity claim
Open originalNamed on Art.5, 8, 107
Page, D. N. (1993). Information in black hole radiation. Phys. Rev. Lett. 71, 3743.
Defines the Page curve as the unitary entropy trajectory of Hawking radiation.
Does not support the necessity claim
Open originalNamed on Art.5, 29, 107
Almheiri, A., Hartman, T., Maldacena, J., Shaghoulian, E. & Tajdini, A. (2021). The entropy of Hawking radiation. Rev. Mod. Phys. 93, 035002.
Review: quantum extremal surfaces and islands reproduce the Page curve.
Does not support the necessity claim
Open originalNamed on Art.5, 29, 107
Penington, G. (2020). Entanglement wedge reconstruction and the information paradox. JHEP 09 (2020) 002.
Entanglement-wedge reconstruction as a mechanism for the downward Page leg.
Does not support the necessity claim
Open originalNamed on Art.5, 29, 107

Counter-arguments · refusing pole

One domain counter per cluster, not a repeating method quartet. The mirror reads these as enough to refuse necessity.

Witten, E. (2001). Quantum gravity in de Sitter space. arXiv:hep-th/0106109.
Counter: de Sitter holography has structural obstacles (no easy S-matrix, observer issues).
Does not support the necessity claim
Open original
Unruh, W. G. & Wald, R. M. (2017). Information loss. Rep. Prog. Phys. 80, 092002.
Counter: unitarity need not be saved; loss remains a live option.
Does not support the necessity claim
Open original
Hawking, S. W. (1976). Breakdown of predictability in gravitational collapse. Phys. Rev. D 14, 2460.
Counter: information loss is the default semiclassical prediction.
Does not support the necessity claim
Open originalNamed on Art.5, 29, 107