Current research status
Mathematical interpretation and philosophical framework
The question in focus
Interprets hyperfinite decimal expansions using a zone of positive infinitesimals, distinguishing finite-resolution remainders from the representation's structural remainder.
Scope & open questions
- Accepts 0.999... = 1 in standard real analysis; it changes the representation under discussion.
- Builds on existing hyperreal extended-decimal constructions.
- Cross-domain physical analogies are interpretive and add no new physical prediction.
Source & version notes
The profile abstract retains earlier arithmetic-style wording. The current manuscript uses zone membership and explicitly distinguishes zones from numerical values.
Summary based on the current manuscript. Read the full text for definitions, derivations, references, and the author’s complete argument.
Cite this manuscript
John Eonas. (October 2026). Zeno Continuum: The Konstantopoulos Infinitesimal as Universal Remainder (Version 7.3). Academia.edu. https://www.academia.edu/169280469/Zeno_Continuum_The_Konstantopoulos_Infinitesimal_as_Universal_Remainder_Version_7_3
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