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The universe does not waste patterns.For centuries, astronomers have watched binary stars circle each other with the mechanical patience of celestial clocks. We measured their light, catalogued their periods, and believed we understood them. Then the data from the Kepler space telescope arrived with a precision no previous instrument could match, and hidden inside the timing residuals of twenty-three binary star systems was something that should not be there: the algebraic fingerprint of error-correcting codes.Not noise. Not coincidence. A structure so mathematically specific that the probability of its arising by chance is less than one in a million.In Stars That Communicate, Professor Aoibheann takes readers on a rigorous and gripping journey from the first discovery of this anomaly through the long process of ruling out every conventional explanation. Instrumental artifacts: eliminated. Stellar activity cycles: tested and found inadequate. Orbital resonances, tidal precession, magnetic braking: each examined with the full force of modern astrophysical theory and each found wanting. What remains, embedded in the light of stars hundreds of light-years from Earth, are timing patterns structurally identical to the BCH and Hamming codes that engineers independently invented in the twentieth century to protect digital transmissions from corruption.The book that results from this discovery is not a breathless sensationalist account. It is a work of careful science, written by a researcher who spent a decade testing every mundane explanation before confronting the extraordinary one. The reader encounters the real mathematics of coding theory, explained with clarity and wit, and the real physics of binary stars, explained with the same. They meet Shannon's channel capacity theorem and ask what it means when a pair of orbiting stars operates below that capacity. They explore the holographic principle, the physics of information, and the question of whether the universe encodes its own structure in the very mathematical language that humans separately discovered for use in telecommunications.And then, inevitably, they confront the question that the data alone cannot answer: are these patterns the signature of physics we do not yet understand, or is something, somewhere, enormously patient and enormously old, using the oldest clocks in the sky to leave a message for whoever eventually learns to read it?Stars That Communicate will reshape how you think about information, about the cosmos, and about what it means to listen to the universe on the frequencies it actually uses.