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This text provides a definitive proof of global nonlinear stability of Minkowski space-time as a solution of the Einstein-Klein-Gordon equations of general relativity. Along the way, a novel robust analytical framework is developed, which extends to more general matter models.

General relativity (Physics). --- Klein-Gordon equation. --- Mathematical physics. --- Quantum field theory. --- SCIENCE / Physics / Mathematical & Computational. --- Addition. --- Algebraic structure. --- Antiderivative. --- Approximation. --- Asymptote. --- Asymptotic analysis. --- Bending. --- Big O notation. --- Bootstrapping (statistics). --- Calculation. --- Cauchy distribution. --- Coefficient. --- Combination. --- Compact space. --- Complex number. --- Computation. --- Conserved quantity. --- Coordinate system. --- Coordinate-free. --- Covariant derivative. --- Derivative. --- Differential operator. --- Dispersion relation. --- Einstein field equations. --- Energy functional. --- Equation. --- Estimation. --- Exponential growth. --- Foliation. --- Fourier analysis. --- Fourier transform. --- Function (mathematics). --- Function space. --- General relativity. --- Geodesic. --- Geodesics in general relativity. --- Geographic coordinate system. --- Geometry. --- Global analysis. --- Globality. --- High frequency. --- Hyperboloid. --- Hypersurface. --- Hypothesis. --- Implementation. --- Ingredient. --- Integration by parts. --- Interpolation inequality. --- Klein–Gordon equation. --- Light cone. --- Local coordinates. --- Mathematical optimization. --- Metric tensor (general relativity). --- Metric tensor. --- Minkowski space. --- Momentum. --- Monograph. --- Monotonic function. --- Nonlinear system. --- Optics. --- Parametrization. --- Partial differential equation. --- Pointwise. --- Poisson bracket. --- Quantity. --- Remainder. --- Result. --- Riemann curvature tensor. --- Scalar field. --- Scattering. --- Schwarzschild metric. --- Scientific notation. --- Second fundamental form. --- Simultaneous equations. --- Small data. --- Small number. --- Sobolev space. --- Soliton. --- Space. --- Stability theory. --- Stress–energy tensor. --- Support (mathematics). --- Symmetrization. --- Theorem. --- Time derivative. --- Timelike Infinity. --- Trace (linear algebra). --- Two-dimensional space. --- Vacuum. --- Vector field. --- Very low frequency. --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Physical mathematics --- Physics --- Schrödinger-Klein-Gordon equation --- Quantum field theory --- Wave equation --- Relativistic theory of gravitation --- Relativity theory, General --- Gravitation --- Mathematics --- General relativity (Physics) --- Science. --- Physics.