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Computed tomography (CT) image reconstruction is crucial, but traditional methods often struggle with limited data, like in sparse-angle CT. Deep learning offers solutions, but usually needs "ground truth" images for training, which are hard to get, especially in medical imaging. We introduce TomoSelfDEQ, a new self-supervised deep learning approach that trains directly on the limited, undersampled CT measurements. We prove theoretically, and demonstrate experimentally, that TomoSelfDEQ works as well as fully-supervised methods (which need ground truth), even with very sparse data – as few as 16 projection angles. Our method outperforms existing self-supervised techniques, achieving state-of-the-art results.