Researchers have developed a mathematical model to determine if temporary asymmetric disturbances to a black hole's horizon can be detected in its Hawking radiation.
Key facts
- •The study was published in the journal Classical and Quantum Gravity by M. Baran Ökten and colleagues.
- •Researchers used the Borsuk–Ulam theorem to define and compare opposite points on a distorted black hole horizon.
- •The 'peeling field' was used to track how the redshift of outgoing light rays changes during a disturbance.
- •The team found that a temporary antipodal imbalance creates a minimum, unavoidable response in the accumulated Hawking radiation flux.
- •The research suggests that looking only at the final state of a black hole may hide evidence of past disturbances.
A new study published in the journal Classical and Quantum Gravity explores whether Hawking radiation retains information about temporary, asymmetric disturbances to a black hole. Researchers modeled a black hole that begins in a quiet state, undergoes a directional distortion, and eventually returns to a stationary state. The study investigates whether the radiation emitted during this process can reveal details about the disturbance that occurred.
Applying the Borsuk–Ulam Theorem
To analyze the directional imbalance of the black hole's horizon during a disturbance, researchers utilized the Borsuk–Ulam theorem. This mathematical principle, often illustrated by the requirement that two antipodal points on Earth must share identical temperature and pressure, was applied to the 'peeling field'—a quantity describing how the redshift of outgoing light rays changes. By comparing this field and its rate of change across antipodal points on the horizon, the team measured the directional imbalance throughout the disturbance.
Findings on Radiation Flux
The researchers performed their calculations within a massless conformal channel, allowing for an exact treatment of the relationship between ray tracing and quantum flux. Their results establish a lower bound on the accumulated departure of the radiation from its reference behavior. The study concludes that if an antipodal imbalance reaches a certain size during a disturbance, the resulting variation in the outgoing quantum flux becomes unavoidable, even if the final balance appears to return to zero.
Advertisement
This article was independently rewritten by ManyPress editorial AI from reporting originally published by Phys.org.
