Future telescopes such as the Large Interferometer For Exoplanets (LIFE) will enable the unprecedented characterisation of the atmospheres of nearby rocky exoplanets, probing mid-infrared signatures of key molecules (e. g. CO₂, H₂O, O₃, and CH₄). Whilst 4D spatial and temporal variations of Earth as an exoplanet are below spectroscopic detection limits, such variability is strongly planet-specific. We investigated LIFE's ability to detect 4D spatial and temporal variability in the atmospheres of tidally locked exoplanets. We created daily synthetic LIFE observations of Proxima Centauri b in a 1: 1 and an eccentric 3: 2 spin-orbit resonance (SOR), using LIFE on spectra from daily 3D climate-chemistry model (CCM) outputs of an aquaplanet with Earth-like composition. The spectra assume an inclination of 70̧irc. sim Hemispheric distributions of temperature, clouds, and chemical species determine spectral signatures and variability with orbital phase angle. Such variability dictates the extent to which parameters (e. g. radius, temperature, or chemical abundances) can be reliably inferred from snapshot spectra at arbitrary viewing geometries. In the 1: 1 SOR, the MIR spectra vary significantly with viewing geometry and indirectly probe atmospheric circulation. Nightside temperature inversions generate O₃, CO₂, and H₂O emission features, though these lie below LIFE's detection threshold; instead, O₃ features disappear at certain phase angles. In contrast, the 3: 2 SOR yields a more homogeneous atmosphere with weaker phase variability but enhanced bolometric flux due to eccentric heating. Phase-resolved LIFE observations confidently distinguish between the SORs and capture seasonal O₃ variability for golden targets such as Proxima Centauri b. In the case of abiotic O₂ and O₃ build-up, the O₃ variability presents a potential false positive scenario. Hence, LIFE can disentangle different spin-orbit states and resolve 4D atmospheric variability, enabling the daily characterisation of the 4D physical and chemical state of nearby terrestrial worlds. Importantly, this characterisation requires phase-resolved rather than snapshot spectra.
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