The 7-Dimensional Solution to the Paradox

by priyanka.patel tech editor
The 7-Dimensional Solution to the Paradox

Scientists have proposed a groundbreaking solution to the black hole information paradox, suggesting that black holes leave behind stable remnants that preserve quantum information through exotic 7-dimensional geometries, according to a study published in *General Relativity and Gravitation* Source 1.

The 7-Dimensional Solution to the Paradox

For decades, physicists grappled with the contradiction between Hawking radiation—thermal radiation emitted by black holes—and quantum mechanics, which dictates that information cannot be destroyed. A new study led by Richard Pinčák introduces a 7-dimensional framework using Einstein-Cartan theory, where spacetime torsion generates a repulsive force that halts black hole evaporation. This theory posits that black holes leave behind “Planckian relics” with a mass of approximately 9×10⁻⁴¹ kg, acting as quantum information repositories Source 3.

The 7-Dimensional Solution to the Paradox
Photo: Diario AS

The researchers argue that these remnants store information via “quasi-normal modes” within their geometric structure, with a solar-mass black hole capable of preserving 1.515×10⁷⁷ qubits. This mechanism not only resolves the paradox but also ties into the Higgs field’s energy scale, offering a geometric explanation for particle mass Source 1.

Quantum Hair and the Fate of Information

Another approach, proposed by Xavier Calmet and colleagues, suggests that black holes retain information through “quantum hair”—subtle quantum imprints on Hawking radiation. By incorporating quantum gravity into Hawking’s original calculations, the team found that radiation could carry encoded data, allowing information to escape as black holes decay Source 4.

Solution to the Grandfather Paradox

This theory contrasts with the 7D model, emphasizing that information isn’t lost but instead imprinted on the radiation itself. "While these quantum gravitational corrections are minuscule, they are crucial for black hole evaporation," Calmet noted Source 4.

Implications for Particle Physics and Cosmology

The 7D theory’s connection to the Higgs field’s vacuum expectation value (246 GeV) offers a novel bridge between black hole physics and particle mass origins. By reducing the 7D geometry to 4D spacetime, the model naturally reproduces the electroweak scale, suggesting that black hole remnants could explain the mass hierarchy of fundamental particles Source 1.

The resolution of this paradox could redefine our understanding of spacetime, quantum gravity, and the universe’s ultimate fate. As Stephen Hawking once remarked, “We are just an advanced breed of monkeys on a minor planet of a very average star. But we can understand the universe” Source 2. Whether through 7D geometries, quantum hair, or other mechanisms, the quest to reconcile these extremes continues to illuminate the cosmos.

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