Gravitational Redshift

Status: CANONICAL Paper: 21 — Interpretation of Gravitational Redshift

SSZ Redshift Formula

The gravitational redshift between two observers:

1 + z = D(r_obs) / D(r_emit) = (1 + Ξ_emit) / (1 + Ξ_obs)

For an observer at infinity (Ξ_obs → 0):

z(r) = 1/D(r) - 1 = Ξ(r)

The redshift equals the segment density! This is a clean, direct correspondence.

z_GR(r)  = 1/√(1-r_s/r) - 1
z_SSZ(r) = Ξ(r)

z_GR  ≈ r_s/(2r)
z_SSZ = Ξ_weak = r_s/(2r)

z_GR(r_s)  = ∞
z_SSZ(r_s) = 0.802 (finite!)

Object	M/M☉	R (km)	r/r_s	z_GR	z_SSZ	Excess
PSR J0030+0451	1.44	13.02	3.06	0.219	0.328	+50%
PSR J0740+6620	2.08	13.70	2.23	0.346	0.413	+19%
PSR J0348+0432	2.01	12.50	2.10	0.380	0.457	+20%
Hypothetical NS	2.5	11.0	1.49	0.580	0.652	+12%

Systematic prediction: NS redshift +13% higher than GR. Testable with NICER.

SSZ predicts a discrete frequency scaling:

R = 1 + z = φ^N,    N ∈ ℤ

This φ-grid is not a quantization of redshift but a preferred scaling at which segmentation effects align constructively.

Paper 10 introduces a curvature detection method using three-frequency comparison:

δ_AB = ln(ν_A / ν_B)
I_ABC = δ_AB + δ_BC + δ_CA

I_ABC = 0 → Flat spacetime
I_ABC ≠ 0 → Curved spacetime (segmented)

This provides a model-independent test for spacetime segmentation.

Test	Repository
test_redshift.py	ssz-qubits
test_validation.py (GPS, PR, S2)	ssz-qubits