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April 8, 2026Open Access

On the Indeterminacy of the Normal at the Point of Incidence: A Geometric Critique of the Law of Reflection of light

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Authors

GAG. K. Agrawal Agrawal

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Overview

Formal critique assesses the mathematical foundations of reflection law, indicating potential inconsistencies in optics.

Key Points

  • This inquiry examines the mathematical foundation of the Law of Reflection at a 0-dimensional point.
  • Analyzes classical optics assumptions regarding surface normals at points of contact.
  • Critiques the reliance on Euclidean axioms defining points as having no dimensionality.
  • Explores implications of point properties on defining slope and tangents.
  • Argues that a single point cannot define a tangent or surface slope.
  • Suggests that the normal is mathematically indeterminate due to the properties of 0-dimensional points.

Cite This Study

G. K. Agrawal Agrawal (2026) studied this question.

synapsesocial.com/papers/69d5f10974eaea4b11a7a89chttps://doi.org/10.5281/zenodo.19436155
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