MOTHER-GEA T6/Z3 LVS SUCCESSOR v3.3: Constitutional Two-Stage Audit, Exact Critical Uplift Calibration (d0), and 100-Digit Precision Positivity Guarantee for de Sitter Vacuum Stabilization

We present the constitutional formulation and ultra-high-precision numerical certification of the MOTHER-GEA v3.3 Supergravity (N=1 SUGRA) framework embedded on the T6/Z3 orbifold geometry. Addressing the moduli stabilization problem in Large Volume Scenarios (LVS) without ad-hoc parameter tuning, we implement a decoupled Two-Stage Audit protocol aligned with the Information Physics Institute (IPI) F O R M governance framework, evaluated at 100 decimal places of precision (100-dps) using an arbitrary-precision mpmath engine. Stage 1 solves the exact pure F-term Anti-de Sitter (AdS) vacuum gradient grad(V_F) = 0 incorporating perturbative alpha' quantum corrections to the Kähler potential (K = -2 ln(Vol + xi/2) with xi = 0.5). Stage 2 dynamically computes the exact critical uplift coefficient d0 = |V_{F,min}| * Vol^3 and relaxes the system into a certified, tachyon-free de Sitter (dS) vacuum state (V_dS >= 0). Stationarity residues are strictly bounded (grad(V_dS) <= 10^-22), guaranteeing structural stability and eliminating ungrounded parameter completions. Across a comprehensive flux sweep (W0 in [0.5, 10.0]), we prove that all canonical mass matrix eigenvalues remain strictly positive, delivering an absolute mathematical guarantee for the de Sitter landscape in T6/Z3 compactifications. IPI Audit & Disposition Notice: This version (v3.3) is officially registered under a Qualified Pass disposition within the Information Physics Institute (IPI) audit framework, recognizing the three declared Successor Constitutive Premises (l_{\\tau_b} < 0, A_s = -1, and \\xi = 0.5) as explicit structural baselines.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-18
DOI
https://doi.org/10.5281/zenodo.22828688
Primary Topic
Pulsars and Gravitational Waves Research
Type
preprint
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preprint

MOTHER-GEA T6/Z3 LVS SUCCESSOR v3.3: Constitutional Two-Stage Audit, Exact Critical Uplift Calibration (d0), and 100-Digit Precision Positivity Guarantee for de Sitter Vacuum Stabilization

Jaime Quilez Zamora
Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
preprint

MOTHER-GEA T6/Z3 LVS SUCCESSOR v3.3: Constitutional Two-Stage Audit, Exact Critical Uplift Calibration (d0), and 100-Digit Precision Positivity Guarantee for de Sitter Vacuum Stabilization

Jaime Quilez Zamora
preprint en

Abstract

We present the constitutional formulation and ultra-high-precision numerical certification of the MOTHER-GEA v3.3 Supergravity (N=1 SUGRA) framework embedded on the T6/Z3 orbifold geometry. Addressing the moduli stabilization problem in Large Volume Scenarios (LVS) without ad-hoc parameter tuning, we implement a decoupled Two-Stage Audit protocol aligned with the Information Physics Institute (IPI) F O R M governance framework, evaluated at 100 decimal places of precision (100-dps) using an arbitrary-precision mpmath engine. Stage 1 solves the exact pure F-term Anti-de Sitter (AdS) vacuum gradient grad(V_F) = 0 incorporating perturbative alpha' quantum corrections to the Kähler potential (K = -2 ln(Vol + xi/2) with xi = 0.5). Stage 2 dynamically computes the exact critical uplift coefficient d0 = |V_{F,min}| * Vol^3 and relaxes the system into a certified, tachyon-free de Sitter (dS) vacuum state (V_dS >= 0). Stationarity residues are strictly bounded (grad(V_dS) <= 10^-22), guaranteeing structural stability and eliminating ungrounded parameter completions. Across a comprehensive flux sweep (W0 in [0.5, 10.0]), we prove that all canonical mass matrix eigenvalues remain strictly positive, delivering an absolute mathematical guarantee for the de Sitter landscape in T6/Z3 compactifications. IPI Audit & Disposition Notice: This version (v3.3) is officially registered under a Qualified Pass disposition within the Information Physics Institute (IPI) audit framework, recognizing the three declared Successor Constitutive Premises (l_{\tau_b} < 0, A_s = -1, and \xi = 0.5) as explicit structural baselines.

Zenodo (CERN European Organization for Nuclear Research)
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Pulsars and Gravitational Waves Research
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