Microscale–Macroscale Differential Operator for Experimental Microphysics Begüm Yıldırım (2025) Article Swipe
This study introduces a scale-bridging differential operator designed to connect microscopic dynamical variations with macroscopic observables. The operator is constructed entirely from measurable physical quantities and their derivatives, which makes it suitable for experimental applications in high-frequency or microstructured regimes. Its validation relies on physical consistency, dimensional analysis, and stability across resolutions rather than on regression metrics such as R2(Yıldırım, 2025). The method aims to provide an experimentally grounded framework for microphysics without invoking abstract, non-observable constructs. This work contains advanced scientific concepts, original mathematical derivations, and technical formulations.It is intended for readers with sufficient background in physics and mathematics.Non-specialist readers may find certain sections difficult to interpret; in such cases, please refrain from drawing conclusions or submitting evaluative reports. The author acknowledges the use of OpenAI’s language model only for minor editorial support, such as grammar correction, phrasing, and clarity improvements. All original research, scientific content, equations, models, data analysis, and conclusions were entirely developed by the author.
Related Topics
Concepts
Operator (biology)
CLARITY
Stability (learning theory)
Computer science
Calculus (dental)
Differential (mechanical device)
Work (physics)
Mathematics
Minor (academic)
Dynamical systems theory
Grammar
Applied mathematics
Differential operator
Bitwise operation
Mathematical model
Physical system
Algebra over a field
Physical science
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- https://doi.org/10.5281/zenodo.17737013
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- green
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- https://openalex.org/W7107877061
All OpenAlex metadata
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https://openalex.org/W7107877061Canonical identifier for this work in OpenAlex
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https://doi.org/10.5281/zenodo.17737013Digital Object Identifier
- Title
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Microscale–Macroscale Differential Operator for Experimental Microphysics Begüm Yıldırım (2025)Work title
- Type
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preprintOpenAlex work type
- Publication year
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2025Year of publication
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2025-11-27Full publication date if available
- Authors
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Yıldırım, BegümList of authors in order
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https://doi.org/10.5281/zenodo.17737013Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://doi.org/10.5281/zenodo.17737013Direct OA link when available
- Concepts
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Operator (biology), CLARITY, Stability (learning theory), Computer science, Calculus (dental), Differential (mechanical device), Work (physics), Mathematics, Minor (academic), Dynamical systems theory, Grammar, Applied mathematics, Differential operator, Bitwise operation, Mathematical model, Physical system, Algebra over a field, Physical scienceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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