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This study examines quantum gravitational energy based on real observational data from the Laser Interferometer Gravitational-Wave Observatory (LIGO). The research involves the analysis of three LIGO datasets, where energy values (E1 and E2), momentum, and gravitational energy are derived. With a calculated error margin of 9.344976e-21, the results confirm the reliability of the findings. The study provides evidence supporting the potential detectability of quantum gravitational effects through experimental methods.

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.