Randomized trial examines dark-energy effects on structure growth over time, implying future predictions for cosmological observation.
A single-sinusoid dark-energy density in e-folds defines a "breathing" cosmology and forces the equation-of-state boundary wₐ ≤ −3(1+w₀)². The parameters fixed by the expansion history over-determine the growth of structure, giving a zero-parameter go/no-go test falsifiable by Euclid: the model predicts an ~11% suppression of fσ₈ near z≈0.4 for the DESI+CMB fit. The prediction is shared by the whole class of sinusoidal breathing cosmologies; the Euler Cosmos is the motivating member. Includes the phase-space (helix) portrait, the forced past-side sign change at z≈4, and the forced future turnaround.
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Nicholas Archer Sanders (2026) studied this question.
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