Time Loop Analysis Using Integral of Δt'·E with LIGO Data

This paper presents a detailed analysis of gravitational-wave data from LIGO using a novel integral-based approach defined as the 'time loop', expressed mathematically as the integral of the product of relative time intervals (Δt') between signal peaks and the corresponding energy (E) values, represented by strain squared. We applied various signal-processing techniques, including Gaussian and median filters, to isolate meaningful physical phenomena from noise. The study reveals significant statistical relationships, including a notable negative correlation between the time intervals and energy, highlighting underlying physical properties in gravitational-wave data. Results demonstrate both mathematical consistency and potential physical implications in the context of quantum and classical physics, particularly in understanding energy-time relationships within gravitational-wave signals.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work.