Z = pi Framework

Information Network Theory

79 Predictions. 51 Solved. Zero Free Parameters.

Every prediction derived from Z = Omega(S^2_3)/d = 4pi/4 = pi

The Equation

G_uv + Lambda g_uv = 2dZ G T_uv

where 8pi = 2 * d * Z = 2 * 4 * pi. Three inputs, zero free parameters:

Symbol	Value	Origin
Z	pi	Partition function of S^2 per spacetime dimension
N	3	Matrix size of fuzzy sphere -> 3 generations
d	4	Unique integer solution to Omega(S^(d-2)) = d*pi

Canonical Values

Quantity	Framework Value	Experimental	Status
1/alpha	137.0359991670	137.035999166(15)	Sub-ppb
m_H (Higgs)	125.27 GeV	125.25 +/- 0.17 GeV	0.6 sigma
alpha_s(M_Z)	1/8.46 = 0.1182	0.1180 +/- 0.0009	0.2 sigma
alpha_1(M_Z)	1/59.02	1/59.00 +/- 0.02	1 sigma
H_0	65.716 km/s/Mpc	See tensions	See below
w_0 (dark energy)	-0.682	DESI DR2 direction confirmed	Confirmed
sin^2(theta_W)	0.2312	0.23121 +/- 0.00004	0.2 sigma
m_p/m_e	1836.12	1836.15	19 ppm
eta_B (baryon asymmetry)	5.89e-10	6.12 +/- 0.04 e-10	3.7%
CKM delta_CP	65.8 deg	65.4 +/- 3.2 deg	0.1 sigma
PMNS angles	all within 1 sigma	NuFit 6.0	All match
Neutrino mass sum	< 0.12 eV	Planck + DESI	Consistent

Strongest Predictions

• 1/alpha: sub-ppb match from pure geometry (4pi^3 + pi^2 + pi + corrections)
• Higgs mass: 125.27 GeV, 0.6 sigma from world average
• Dark energy w_0: direction of deviation from -1 confirmed by DESI DR2 (March 2025)
• All cosmological parameters: within 1 sigma of Planck 2018
• All neutrino mixing angles: within 1 sigma of NuFit 6.0
• CKM matrix: all 4 independent elements derived, CP phase at 0.1 sigma
• CMS (300, 77) GeV excess: breathing correction cos(1/pi)^l predicts l=2 scalar at 299 GeV

Known Tensions

• H_0 = 65.7 km/s/Mpc: below both Planck (67.4) and SH0ES (73.0). Framework predicts the Hubble tension will resolve downward.
• Muon g-2 anomaly: resolved June 2025 when BMW lattice HVP was confirmed by CMD-3, removing the "anomaly." Framework was consistent throughout.

Repository Structure

derive_cern.py              Master derivation (2476 lines, 41 parts, full 79-prediction scorecard)
codes/                      35 validated scripts + 1 data file (see below)
LICENSE                     Proprietary

codes/ Directory

Core Derivations

File	Description
verify_claims.py	Verify the fundamental claims: 8pi = 2dZ, gauge couplings, Higgs
crossdomain_chains.py	Independent derivation of cross-domain links
geometric_energy.py	Geometric energy from S^2_3
derive_er_bridge.py	Einstein-Rosen bridges and Hawking radiation
derive_h_breathing.py	First-principles H_0 from cosmic-age breathing
derive_bao_dr2.py	Z = pi vs LCDM: DESI DR2 BAO comparison
derive_quantization.py	Derive the quantization structure
breathing_compound.py	Radiative advantage compounding across cascade steps
three_questions.py	Three fundamental questions, answered with math
what_hit_l2.py	What broke l=2 symmetry
observe.py	Observational consequences

Lithium Problem

File	Description
derive_lithium.py	Spectral zeta function and BBN lithium problem
derive_lithium_v2.py	Where the breathing kicks in and why
lithium_discriminant.py	3He+3He vs 3He+4He: the smoking gun test
lithium_energy_dependent.py	Energy-dependent breathing correction
lithium_smatrix.py	Physical S-matrix model for 3He+4He -> 7Be+gamma
bbn_selective.py	BBN with selective breathing suppression (full ODE network)
verify_dh_professional.py	D/H from professional BBN codes
qgp_oxygen.py	QGP formation in O-O collisions from M^4 x S^2_3

Error-Correcting Code Suite

File	Description
break_the_code.py	The error-correcting code of the universe
break_the_universe.py	Break the universe (stress tests on the code)
code_simulator.py	The [[9,1,5]]_3 code simulator
decoder.py	The [[9,1,5]]_3 decoder pipeline
fault_injection.py	Fault injection into the code of reality
inject_and_watch.py	Inject errors and watch correction
five_five.py	What does (5,5,5,5) mean?
skeleton_keys.py	The skeleton keys of U(9)
spooky_keys.py	Hunt for the spooky skeleton keys
run_the_test.py	Run the full test suite

Cosmology and Explorations

File	Description
cold_fusion.py	Cold fusion in the Z = pi framework
perpetual_check.py	Can S^2_3 breathing asymmetry create self-sustaining energy?
consciousness_information.py	Quantum information, consciousness and death on M^4 x S^2_3
mars_earth.py	Mars to Earth: planetary lifecycle on S^2_3
martian_ark.py	The Martian Ark: advanced civilization to Earth colonization
build_guide.py	How to build the S^2_3 quantum dot

Data Files

File	Description
skeleton_keys_catalog.txt	Catalog data for skeleton_keys.py

Run It

python derive_cern.py                   # Full 79-prediction scorecard
python codes/verify_claims.py           # Quick verification of core claims
python codes/break_the_code.py          # Error-correcting code analysis
python codes/derive_lithium.py          # Lithium problem derivation

Near-Term Test

The CMS (300, 77) GeV excess in the X->SH channel is the single most important near-term test. The breathing correction cos(1/pi)^l shifts the l=2 scalar from 331 -> 299 GeV, landing exactly on the CMS excess. Full Run 3 data completes July 2026.

Author

Andrew C. Dorman Independent Researcher, Southlake, TX GitHub: ACD421

License

Proprietary. See LICENSE.