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Temperature governs every act of creation and decay, yet remains treated as a derived scalar rather than a geometric coordinate. Here we demonstrate that temperature defines a Geometric Coordinate of State Change (Θ) orthogonal to space, time and energy-mass. Within this manifold, state change across materials, planets and stars follows one invariant law: dΩ dt =C mβEγvθα where v = dΩd is the transformation velocity along the thermal axis. Empirical evidence from laboratory heat conduction, planetary warming and stellar fusion collapses onto a single scaling curve with (α = 0.50  0.05), revealing temperature as the geometric coordinate of transformation. No process begins or ends without temperature change.