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PreprintCC BY 4.0OSF Preprints

Precise Solution to Zeno’s Paradox of the Arrow by Discrete Motion Model

Abstract

While pondering the conundrum of the Michelson-Morley experiment, Einstein surmised that “time was suspect”. Despite its success, his Special Theory of Relativity (STR) bore new conundrums. This suggests that not time but perhaps our prevailing model of motion is suspect: i.e. motion is discrete but we perceive and treat it as continuous. Accordingly, we herein sought to propose a model of discrete motion that can reproduce the success of STR without the conundrums. We found that it comes with a bonus: it resolves Zeno’s paradoxes too. After discussion of the model, we present a conclusion and recommendation for further study.

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BibTeX
@misc{apell2026precise,
  title = {{Precise Solution to Zeno’s Paradox of the Arrow by Discrete Motion Model}},
  author = {Agona Apell},
  howpublished = {OSF Preprints},
  year = {2026},
  month = sep,
  doi = {10.31219/osf.io/aybw8_v2},
  url = {https://osf.io/aybw8_v2/},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Precise Solution to Zeno’s Paradox of the Arrow by Discrete Motion Model
AU  - Agona Apell
PY  - 2026
DA  - 2026/09/27
PB  - OSF Preprints
DO  - 10.31219/osf.io/aybw8_v2
UR  - https://osf.io/aybw8_v2/
AB  - While pondering the conundrum of the Michelson-Morley experiment, Einstein surmised that “time was suspect”. Despite its success, his Special Theory of Relativity (STR) bore new conundrums. This suggests that not time but perhaps our prevailing model of motion is suspect: i.e. motion is discrete but we perceive and treat it as continuous. Accordingly, we herein sought to propose a model of discrete motion that can reproduce the success of STR without the conundrums. We found that it comes with a bonus: it resolves Zeno’s paradoxes too. After discussion of the model, we present a conclusion and recommendation for further study.
ER  -