Holodiagram: elliptic visualizing interferometry, relativity, and light-in-flight.

Area of Science:

• Optics and Photonics
• Relativistic Physics

Background:

• Holographic interferometry typically assumes static observer-illumination distances.
• Special Relativity introduces dynamic separations due to observer velocity.
• Corrections for these separations show parallels between optical and relativistic fields.

Purpose of the Study:

• To explore the analogy between holographic interferometry and Special Relativity using geometric models.
• To explain optical resolution, gated viewing, radar, holography, 3D interferometry, and light-in-flight recordings.
• To provide a novel interpretation of light-wave duality and entanglement.

Main Methods:

• Utilizing the geometric framework of holodiagram ellipsoids for measurement and visualization.
• Applying the concept of ellipsoid eccentricity to explain Lorentz contraction and time dilation.
• Introducing and analyzing the concept of ellipsoids of observation.

Main Results:

• Demonstrated similarity in compensation methods for static and dynamic observer-observer separations.
• Provided a geometric explanation for Lorentz contraction and time dilation via ellipsoid eccentricity.
• Proposed that the light-in-flight ellipsoid may explain wave-particle duality and entanglement.

Conclusions:

• The holodiagram ellipsoid model offers a unified approach to understanding phenomena in optics and Special Relativity.
• Ellipsoid geometry provides a visual and conceptual tool for complex relativistic and optical effects.
• The study suggests a geometric interpretation for fundamental properties of light and quantum entanglement.