Why is it hard for us to understand how a singularity works?

The theory of relativity returns answers of 0 approaching a singularity.
Quantum mechanics can only study objects less massive than 1 AU.
Mathematical equations break down and return answers of infinity approaching a singularity.
We need more powerful telescopes that can see smaller objects to capture a singularity on film.

Understanding how a singularity works poses several challenges due to the inherent nature of these enigmatic objects:

1. Extreme conditions: Singularities are believed to exist at the center of black holes or during the early moments of the universe (such as the Big Bang). In these regions, the laws of physics, as we currently understand them, do not apply. Therefore, it becomes intricate to model and comprehend the behavior of matter and energy under such extreme conditions.

2. Incompatibility between theories: The theories that govern the macroscopic world (General Relativity) and the microscopic world (Quantum Mechanics) are incompatible with each other. General Relativity provides a description of gravitation in terms of warped spacetime, but it fails to incorporate quantum effects. On the other hand, Quantum Mechanics describes the behavior of matter and energy at a microscopic scale but does not account for gravity. Understanding singularities requires a theory that successfully reconciles these two frameworks, commonly referred to as a theory of quantum gravity.

3. Mathematics and physical limitations: Mathematical equations used to describe the behavior of objects near singularities often break down, resulting in infinities or nonsensical answers. This indicates that our current mathematical tools and understanding may not be adequate to analyze these extreme scenarios. Additionally, experimental verification of these theories becomes challenging since the conditions near singularities are inaccessible and difficult to recreate.

4. Observational limitations: Singularities are not directly observable with telescopes or any other current technology. They are typically hidden within black holes, which emit no light. Although black holes can have observable effects on their surroundings, such as accretion disks or gravitational lensing, directly capturing a singularity on film is currently beyond our technological capabilities. Hence, our understanding of singularities heavily relies on theoretical frameworks and indirect observations.

In summary, comprehending the workings of singularities is difficult due to extreme conditions, the incompatibility between current theories, limitations in mathematics and physical understanding, and the absence of direct observational evidence. Ongoing research in fields like quantum gravity and advancements in observational techniques may gradually deepen our understanding of these intriguing phenomena.