Zero Returned: What decimal notation suggests about Repetition, Identity, and Infinity

This essay offers a philosophical interpretation of decimal notation through the lens of recurrence, identity, and infinity. While the standard number line emphasizes linear growth in quantity, decimal representation also exhibits cyclical returns in symbolic form: digits recur across scales, zero reappears at each decade boundary, and place value preserves accumulation through repeated crossings. Using the lemniscate as a conceptual geometry, the paper argues that decimal notation simultaneously encodes progression and return. The result is not a revision of mathematics, but an ontological reading of how number representation may illuminate enduring metaphysical tensions between becoming and identity, horizon and center, extension and recurrence.