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Introducing Difference: from Euclidean Space to Geological Limits
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Abstract
The Lithotectonic Framework (LTF) provides a systematic approach to describing regional geology in terms of geological history. While LTF has been applied to vocabulary development and regional geological description, its theoretical foundations have remained undocumented. This paper introduces the Spatio-Temporal Framework (STF), which extends Euclidean geometry by adding 'difference' as a primitive notion alongside space and time. This enables defining 'event' without circularity, from which lithotectonic limits and units can be formally derived. The five LTF axioms then establish operational relationships between these concepts. STF thus provides LTF with a formal foundation analogous to how Euclidean definitions underpin geometric reasoning.
DOI
https://doi.org/10.31223/X57V06
Subjects
Earth Sciences, Mathematics, Physical Sciences and Mathematics
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Dates
Published: 2026-01-16 16:02
Last Updated: 2026-01-16 16:02
License
CC BY Attribution 4.0 International
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Conflict of interest statement:
None
Data Availability (Reason not available):
This theoretical paper does not rely on data.
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