Metric Stratigraphy as a Paleo-GPS for the Early Solar System

We develop the concept of Metric Stratigraphy and demonstrate its role as a gravitational "paleo-GPS" for the early Solar System, grounded in the Topological Density Functional Theory (T-DFT). The T-DFT Meta-Law, Oobs = Oideal · e-σGΩD-1fG, governs the response of any physical observable to the elastic resistance of the quantum vacuum, where the confinement fraction fG = 1/dR2 is a topological invariant derived from the Peter–Weyl theorem and Schur's second lemma. Applying this framework to the QED sector (dR = 1, G = U(1)), we derive the vacuum coupling coefficient σv = α/2, which quantifies the susceptibility of the local metric to gravitational polarisation. When this coefficient is applied to the alpha-decay tunnelling probability of 235U and 238U in the gravitational potential of the early solar accretion disk (ΔΦ/c2 ∼ 10-8), the terrestrial Jaffey decay constants require a metric correction of order 10-3. This correction eliminates the systematic age discordance observed in high-precision Pb–Pb measurements of Calcium-Aluminium-rich Inclusions (CAIs) from the Allende and Efremovka meteorites, yielding concordant ages of 4567.22 ± 0.05 Ma fully aligned with the 26Al–26Mg short-lived chronometer, without invoking variable initial 238U/235U ratios. Furthermore, we demonstrate that the apparent isotopic heterogeneity measured by TIMS spectrometry is a kinetic artefact of reading a gravitationally-modulated clock. The framework introduces Metric Stratigraphy: the observation that isotopic discordance magnitude encodes the heliocentric formation distance of a meteorite, providing a "paleo-GPS" for the protoplanetary disk.