The de Sitter background and lambda
An expanding de Sitter hyperboloid with observer worldlines and their light cones, and the horizon drawn where the cones stop reaching.
The relation on screen
A saturating repair horizon behaves like a cosmological constant in the conformal diagram.
Symbols
- expansion rate of the emergent scale
- cosmological constant
the honest status of this picture
Every other panel in this act draws something the run computed. This one draws the backdrop the visualization profile declares, so that the emergent metric of V29b has somewhere to sit. The hyperboloid is the standard embedding of de Sitter space, the vertical curves are observer worldlines, and the flare where the cones stop overlapping is a causal horizon. Read it as a diagram of the model's setting rather than a result of the run.
what to look for · The horizon closes off part of the record set for good. This reading is declared.
Consensus to physics
- 01the visualization profile declares a de Sitter background with a positive cosmological constant
- 02observer worldlines are drawn on that background
- 03light cones fix a horizon scale
- 04the scene shows what the model implies; the run itself measured none of it
In standard physics
The conformal diagram of an accelerating universe
A maximally symmetric spacetime with positive curvature and a causal horizon per observer, drawn as the backdrop the emergent-metric view is set against.
boundary · Fully declared. No cosmological constant is measured by this run and no expansion history is inferred.