A mathematician in Berlin has combined Isaac Newton's explanation of the tides with Albert Einstein's gravitational waves, creating a model that could offer a new way to test how well scientists understand gravity, Universe Today reported. The author is careful to say he has not found a new effect. His work shows how one might be searched for.
The study comes from Muhittin Cenk Eser of the Department of Mathematics and Computer Science at Freie Universität Berlin.
Newton published his major work on motion and gravity in 1687, and his theory accurately describes how the Sun and Moon move Earth's tides. For more than three hundred years, it stood as the last word on gravity, until Einstein introduced general relativity.
General relativity gives a fuller picture, including gravitational waves, which are ripples in spacetime produced by events such as mergers of massive objects. Universe Today said thousands of gravitational-wave events have been detected so far, mostly from mergers of black holes or neutron stars. Smaller gravitational interactions, including those among Earth, the Moon and the Sun, can also produce them.
Eser extended the classical model of lunar tides to include what is known as the cross polarization of gravitational waves, one of the key ways such waves can deform spacetime as they pass through.
A major difficulty is telling a possible extra signal apart from other sources of error. Measurement errors, the choice of reference frame and uncertainty in calculating the positions of the Sun and Moon can all mimic or hide a faint effect.
By identifying which influences have to be accounted for, Eser shows how a signal could be isolated and its possible physical causes identified. According to the report, the study provides a quantitative basis for future work on tidal patterns that differ from what Newtonian gravity predicts.
In a university press release, Eser said Newton explains the tides extremely well, while Einstein shows that gravity is dynamic and that changes in spacetime can travel as waves. His work, he said, brings the two views together and asks what traces might appear in high-precision measurements.
He also stressed the limits of the work. He said the study does not claim a new gravitational effect and instead shows how to look for one in a targeted way. He described the Earth-Moon system as especially interesting for this purpose because its tidal effects can already be described and measured very precisely.
For general readers, the study does not change anything about tides or daily life. Its importance is in method: it sketches how a long-studied, well-measured system could serve as a testing ground for the relationship between Newton's and Einstein's descriptions of gravity.
The result is a theoretical framework, not an observation. Whether any deviation from Newtonian tides can actually be measured would depend on future high-precision studies built on this basis.
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Around Prague, based on reporting by Universe Today
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