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PreprintCC BY 4.0Zenodo

Relational Potential as a Solution to Zeno's Dichotomy Paradox

  • Maciej Latkowski
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Abstract

We present an ontological framework in which Zeno's dichotomy paradox (motion cannot begin) is resolved by rejecting spatial points as the fundamental ontological category and replacing them with relations between potentials. Motion is not "traversing points" but the change of relation between the potentials of two systems. The formalism draws on relational mechanics (Lynden-Bell, 2016) and relational quantum mechanics (Rovelli; Yang, 2018). The theory is invariant under choice of measurement units, does not require the Dedekind completeness axiom, and is consistent with empirical fact (motion occurs).

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Cite

BibTeXRIS
BibTeX
@misc{latkowski2026relational,
  title = {{Relational Potential as a Solution to Zeno's Dichotomy Paradox}},
  author = {Maciej Latkowski},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23618180},
  url = {https://zenodo.org/records/23618180},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Relational Potential as a Solution to Zeno's Dichotomy Paradox
AU  - Maciej Latkowski
PY  - 2026
DA  - 2026/10/24
PB  - Zenodo
DO  - 10.5281/zenodo.23618180
UR  - https://zenodo.org/records/23618180
AB  - We present an ontological framework in which Zeno's dichotomy paradox (motion cannot begin) is resolved by rejecting spatial points as the fundamental ontological category and replacing them with relations between potentials. Motion is not "traversing points" but the change of relation between the potentials of two systems. The formalism draws on relational mechanics (Lynden-Bell, 2016) and relational quantum mechanics (Rovelli; Yang, 2018). The theory is invariant under choice of measurement units, does not require the Dedekind completeness axiom, and is consistent with empirical fact (motion occurs).
ER  -