preprintOpen MINDJan 26, 2026GREEN OA

Cosmological Consequences of Bounded Curvature Spacetime

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Abstract

Cosmological Consequences of Bounded Curvature Spacetime If spacetime curvature is bounded by a universal saturation scale, the global structure and early history of the universe are necessarily modified. Building on a bounded-curvature extension of General Relativity, we examine the cosmological consequences of such saturation without committing to specific microphysical models. We analyze finite-start, bounce, and emergent early-universe scenarios, focusing on horizon structure, entropy flow, and the conditions under which standard expansion or inflation may follow. We show that singular initial conditions are generically replaced by finite, geometrically constrained states, while preserving causal structure…

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Topics & keywords

Keywords
  • Bounded function
  • Curvature
  • Spacetime
  • Causal sets
  • Causal structure
  • Entropy (arrow of time)
  • Universe
  • Constant curvature
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