Zeno's Paradox Meets the iPhone: The End of Infinite Recursion of Euclidean Continuity
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2025
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| _version_ | 1866901747168968704 |
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| author | Aranovsky, David |
| author_facet | Aranovsky, David |
| contents | <h3><strong>The Inescapable Problem of Motion in Continuous Space</strong></h3> <p>For centuries, human civilization has taken motion for granted. We assume that when we reach for an object, light travels from it to our eyes, allowing us to see it. We assume that a thrown ball follows a continuous trajectory. We assume that an iPhone screen emits light that seamlessly reaches our retinas. Yet, beneath these everyday occurrences lies a contradiction so devastating that it dismantles the very foundation of modern physics—the assumption that spacetime is continuous.</p> <p>This contradiction is not new. It was first exposed by <strong>Zeno of Elea</strong>, who posed his infamous paradoxes over <strong>two thousand years ago</strong>, and yet, modern physics has failed to resolve them. The standard "resolution" of Zeno’s paradox, offered by calculus, is nothing more than a sleight of hand—substituting <strong>infinite summation</strong> for <strong>actual motion</strong>. Mathematicians claim that an infinite series can sum to a finite number, but they fail to explain how an <strong>infinite number of physical steps</strong> can ever be completed in reality.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15048221 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Zeno's Paradox Meets the iPhone: The End of Infinite Recursion of Euclidean Continuity Aranovsky, David <h3><strong>The Inescapable Problem of Motion in Continuous Space</strong></h3> <p>For centuries, human civilization has taken motion for granted. We assume that when we reach for an object, light travels from it to our eyes, allowing us to see it. We assume that a thrown ball follows a continuous trajectory. We assume that an iPhone screen emits light that seamlessly reaches our retinas. Yet, beneath these everyday occurrences lies a contradiction so devastating that it dismantles the very foundation of modern physics—the assumption that spacetime is continuous.</p> <p>This contradiction is not new. It was first exposed by <strong>Zeno of Elea</strong>, who posed his infamous paradoxes over <strong>two thousand years ago</strong>, and yet, modern physics has failed to resolve them. The standard "resolution" of Zeno’s paradox, offered by calculus, is nothing more than a sleight of hand—substituting <strong>infinite summation</strong> for <strong>actual motion</strong>. Mathematicians claim that an infinite series can sum to a finite number, but they fail to explain how an <strong>infinite number of physical steps</strong> can ever be completed in reality.</p> |
| title | Zeno's Paradox Meets the iPhone: The End of Infinite Recursion of Euclidean Continuity |
| url | https://doi.org/10.5281/zenodo.15048221 |