Resolution of Mirror Problem. Concept of the Isotropic Space and Anisotropic Space as Principal Methodology to Investigate the Visual Recognition

      Аннотация: The mirror problem or mirror reversal has been investigated by scientists of multiple disciplines, including physicists, mathematicians, psychologists, and philosophers, but all answers thus far have some anomaly. Though enantiomorphism has proved to be the universal condition of mirror reversal, it alone cannot explain any specific mirror reversal concerning directional notions. Here, this study clarified that a more detailed optical analysis than ever and highlighting epistemological concepts could resolve the mirror problem without anomaly. The optical analysis employing the real image, instead of the generally used virtual image, clarified the physical mechanism of the mirror reversal. Further, epistemological analyses, primarily employing the concept of isotropic space of geometry and anisotropic space of perception developed by E. Mach (1905, 1918) and E. Cassirer (1925), clarified cases that cannot be explained by geometric and optical factors only. The result obtained in this study would provide a new methodology to investigate problems of general mirror-related problems and also general visual recognition and general sciences.

Ключевые слова: isotropic space, anisotropic space, enantiomorphism, mirror problem, mirror reversal, directional notions, virtual image, real image, geometric optics