Sceptical Analysis of Rainbow gravity: Do Black Holes Grow Differently?
Source PublicationScientific Publication
Primary AuthorsMukherjee, Debnath
"Imagine a video game where your character's speed changes the map. In one version, running faster makes the game clock tick slower (modifying time). In the other, running faster stretches the physical ground (modifying space). Both change how long it takes to reach the boss, just as different quantum rules change how black holes consume matter."

The central claim of this new study is that black holes gain mass at different rates depending on whether quantum effects warp time or space. Historically, mapping this cosmic genome has been incredibly difficult, plagued by missing data and mathematical blind spots.
The Methodological Divide
To understand the difficulty of mapping complex systems, consider biology. When scientists map a DNA sequence, they often rely on gene markers. These are specific, identifiable DNA sequences with a known physical location. This method is highly precise for tracking inherited traits but can miss broader structural patterns. In contrast, analysing GC content measures the overall percentage of guanine and cytosine bases across a DNA strand. This broad approach provides a macro-level view of gene density and stability, yet it lacks the pinpoint accuracy of individual markers. Physicists face a similar trade-off when choosing between different mathematical models to map the universe. They must decide whether to focus on highly specific, stable constraints or broader, more volatile patterns.
Testing Rainbow gravity Against the Universe
The concept of Rainbow gravity suggests that gravity is not a single, uniform force. Instead, it proposes that spacetime bends differently depending on the energy of a particle. Researchers tested two specific models to see how this theory might affect black hole mass accretion. The first model, known as RF1, modifies the time component of the mathematical framework. The second model, RF2, alters the spatial component.
The researchers measured how these theoretical models align with existing astronomical data. The data suggests that the RF1 model is highly stable. It tightly constrains the mathematical variables and points to a steady black hole mass increase of roughly 0.15% over a specific cosmic period. It acts much like a reliable gene marker, offering clear, predictable results regardless of the exact dataset used. This efficiency makes it a strong candidate for future modelling.
However, the RF2 model tells a different story. The analysis shows that modifying space yields weaker constraints and a higher Hubble constant. While this model suggests a slightly lower mass increase of about 0.10%, its behaviour is highly sensitive to the observational data applied. This reveals a potential blind spot. The spatial model may offer a richer variety of theoretical phenomena, but it lacks the reliable stability of the time-modified approach. Relying on RF2 could lead to skewed predictions if the underlying data contains errors.
What This Means for Physics
These findings could provide a new way to test quantum theories using actual astrophysical observations. By comparing how black holes consume matter under different mathematical rules, scientists may eventually determine whether time or space distortions drive cosmic expansion. For now, the time-modified model appears to offer the most stable defence against data variations. Both models, however, require further rigorous testing before we can fully accept their implications.