The “black hole information paradox” suggests a fundamental conflict between general relativity and quantum mechanics: if black holes evaporate via Hawking radiation, the information about the matter they consumed appears to vanish, potentially breaking causality. Researchers led by Richard Pinčák at the Slovak Academy of Sciences have proposed a solution involving “twisted 7D G2 manifold” structures. By assuming spacetime has these minuscule, twisted properties, the team suggests black holes do not evaporate completely but leave behind stable, microscopic remnants capable of storing quantum information permanently.
What is the black hole information paradox?
In physics, information is considered indestructible; the state of a system at one time should theoretically allow us to predict its state at another. However, black holes present a challenge to this rule. According to the “black hole hair theorem” (or “no-hair theorem”), a black hole is characterized by only three properties: mass, charge, and angular momentum. When matter falls into a black hole, its other quantum information—such as the specific arrangement of particles—seems to disappear. This leads to the paradox: if this information is lost, the causal link between the past and future is severed, violating core principles of physics.
The term “black hole hair theorem” stems from the idea that once matter enters a black hole, all its unique, complex features—its “hair”—are stripped away, leaving only the three basic metrics behind.
How do 7D G2 manifolds solve the information problem?
Richard Pinčák and his research team have proposed that the paradox can be resolved if black holes never truly vanish. Utilizing the Einstein-Cartan theory, which allows for spacetime torsion (twisting), the team modeled the universe with a “twisted 7D G2 manifold” structure at a scale of 10-32 meters. According to their findings, as a black hole shrinks due to Hawking radiation, it eventually reaches this scale. At this point, the radiation process slows and ultimately stops, leaving behind a stable, ultra-small remnant.

These remnants would be incredibly dense, with a mass of approximately 9×10-41 kg—roughly one ten-billionth the mass of an electron. Despite their size, these remnants could theoretically store massive amounts of quantum information, potentially up to 1.5×1077 qubits for a remnant derived from a solar-mass black hole. This capacity is more than sufficient to hold the information of the matter that originally formed the black hole.
Does this impact our understanding of particle mass?
The research suggests that these twisted 7D structures may explain why fundamental particles have specific masses. Physics currently struggles to explain the exact values associated with the Higgs mechanism and the electroweak unification scale. Pinčák’s model suggests that if the universe contains these twisted 7D G2 manifolds, these physical constants emerge naturally from the geometry of spacetime. This provides a potential geometric origin for values that currently lack a definitive theoretical explanation.
Pro tips for understanding black hole remnants:
- Don’t look for them yet: Proving this requires energy scales millions of times greater than what the Large Hadron Collider (LHC) can produce.
- Look at the dark side: Scientists speculate that these stable, microscopic remnants might exist in massive quantities throughout the universe, potentially accounting for the mysterious mass attributed to dark matter.
- Listen for echoes: Researchers are investigating whether primordial gravitational waves might contain signatures left behind by these remnants from the early universe.
Frequently Asked Questions
What is the “no-hair theorem”?
It is the concept that black holes possess only three measurable pieces of information: mass, charge, and angular momentum, causing all other quantum information to appear lost.

Could these black hole remnants be dark matter?
According to the research team, it is a possibility. Because these remnants are stable and possess mass, they could theoretically contribute to the gravitational effects observed in the cosmos that are currently attributed to dark matter.
Why is Hawking radiation a problem for information?
Hawking radiation is thermal and random. If a black hole evaporates entirely through this process, the specific information of the matter that fell in is lost, which contradicts the fundamental requirement in physics that information must be conserved.
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