V2.436: DESI BAO Confrontation — Bin-by-Bin Autopsy

Status: COMPLETE

Question

The framework predicts w = -1 exactly and Omega_Lambda = 0.6877 (zero free parameters). DESI DR1 BAO data shows ~2.5sigma tension with w = -1. Does a bin-by-bin autopsy reveal this as a localized systematic or a distributed signal that threatens the framework?

Method

• Computed BAO distances (D_M/r_d, D_H/r_d, D_V/r_d) at all 7 DESI redshift bins for both the framework (Omega_Lambda = 0.6877) and Planck LCDM (Omega_Lambda = 0.6847)
• H_0 determined self-consistently from CMB angular scale constraint theta_star
• Bin-by-bin chi-squared analysis against DESI DR1 (12 data points)
• n_grav scan to find DESI’s preferred graviton count
• DESI Y5 forecast with 3x error reduction

Key Results

Framework vs Planck

• Framework and Planck predict nearly identical BAO distances (diff < 0.5%)
• H_0 = 67.36 km/s/Mpc for both (CMB-constrained)
• The DESI tension is with flat LCDM in general, not specifically with the framework

Bin-by-Bin Confrontation

Bin	z	Pull (framework)	Pull (Planck)
BGS	0.295	-0.90	-0.85
LRG1 D_M	0.510	+0.42	+0.48
LRG1 D_H	0.510	-2.96	-2.89
LRG2 D_M	0.706	-2.74	-2.66
LRG2 D_H	0.706	-0.24	-0.15
LRG3+ELG D_M	0.930	-0.90	-0.77
LRG3+ELG D_H	0.930	+0.61	+0.77
ELG2 D_M	1.317	-0.43	-0.34
ELG2 D_H	1.317	-0.78	-0.66
QSO	1.491	-0.05	+0.06
Lya D_M	2.330	+0.45	+0.56
Lya D_H	2.330	-0.79	-0.56

• chi-squared (framework): 20.11 / 12 bins (1.68 per bin)
• chi-squared (Planck): 18.73 / 12 bins (1.56 per bin)
• Tension is partially localized: only 2 bins with |pull| > 2sigma
  • LRG1 D_H at z=0.510: -3.0sigma (observed D_H/r_d LOWER than predicted)
  • LRG2 D_M at z=0.706: -2.7sigma (observed D_M/r_d LOWER than predicted)
• Mean pull: -0.69 (systematic bias toward lower distances)

n_grav Scan

• DESI best-fit: n_grav = 12.5 (Omega_Lambda = 0.675)
• Framework n_grav = 10: Delta_chi-squared = 3.54 (1.9sigma from DESI minimum)
• n_grav = 0 (no graviton): chi-squared = 17.79, but Planck tension = -2.8sigma
• n_grav = 2 (TT only): chi-squared = 90.14, excluded at 6.7sigma by Planck

The w = -1 Question

• The framework predicts w = -1 as a theorem (trace anomaly is constant)
• DESI prefers w0 = -0.55, wa = -1.3 at ~2.5sigma
• The framework CANNOT accommodate w != -1
• This is the single most dangerous observable for the framework

DESI Y5 Forecast

• IF current deviations persist with 3x smaller errors: chi-squared = 181 (definitive falsification)
• IF central values shift to match framework: chi-squared = 0 (zero-parameter confirmation)
• Timeline: DESI Y5 expected ~2028

Conclusions

1. The framework and Planck LCDM are indistinguishable at the BAO bin level (Delta_chi-squared = 1.37). The DESI tension is with w = -1 generically, not with the framework specifically.

2. Tension is partially localized in 2 bins (LRG1 D_H, LRG2 D_M) at z ~ 0.5-0.7. This is the redshift range where DESI’s LRG sample has internal tensions noted in their own analysis.

3. n_grav = 10 is 1.9sigma from DESI’s best-fit n_grav = 12.5. This is mild tension — well within statistical fluctuation given that n_grav must be an integer.

4. DESI Y5 is the decisive test. If DR1 deviations persist, the framework is falsified. If they wash out (as ~50% of 2-3sigma effects do), the framework survives with a zero-parameter prediction matching data.

5. The framework makes a falsifiable, non-adjustable prediction: w = -1 exactly, Omega_Lambda = 0.6877 exactly. There are no knobs to turn. This is either right or wrong.

Falsification Timeline

• 2025 (now): Framework under moderate pressure (chi-squared/bin = 1.68)
• ~2028 (DESI Y5): Decisive — either confirmed or ruled out at >5sigma
• Key bins to watch: LRG1 D_H (z=0.51) and LRG2 D_M (z=0.71)