Dark Energy Density Profile — ΛCDM versus Substrate
Cycles between the standard and substrate models - look for the chirping undular bore signature
Dark energy density f(z)
Combined
Crust
Bulk
DESI
M=1
DSW env
Moraine spline
DESI BAO residuals — Substrate vs ΛCDM
Substrate
Moraine
ΛCDM
1σ
2σ
Inferred H₀(z) vs Jia et al. 2025
DSW Model
Moraine
Jia DESI+PP
Planck
SH0ES
H₀ base
η(z) disruption profile — crust + mixing
η
crust
η
mix
η
total
Weinberg
S₈ suppression ladder
WL target
Planck
DSW
Moraine
Parameters
Cosmology — base Friedmann parameters
H₀ (base)
67.4
● Planck 2018
Ωm
0.315
● Planck 2018
Crust enhancement — ρ
Λ
from DSW
PROFILE C
DSW Profile C (E
DSW
× Ω
Λ
γ
)
B (amplitude)
0.25
DSW fit
γ (DE weight)
3.64
derivable
z
s
(scale)
0.65
fit
z
harm
-0.25
moraine tail
α (tail)
0.50
√ (KdV)
Crust suppression — G
eff
disruption from downstream DSW
η
crust
0.139
HVBK predicted
z
dip
0.52
subcritical
σ
sup
0.30
derivable
Vortex mixing — turbulent disruption at transcritical crossing
Include vortex mixing channel
η
mix
0.181
Weinberg
σ
mix
0.56
geometric
Bulk deficit — Volovik self-tuning
C (depth)
1.00
predicted
z
b
(onset)
2.20
derivable
ΛCDM
★ Substrate
Interpretation