I'm approaching this topic with a sense of curiosity and exploration, fully aware of my non-scientist status and the speculative nature of these concepts. My thoughts are grounded in an opportunistic use of established theories, in ways that deviate from their standard applications.
In my hypothesis, I imagine a scenario where an object with a mass 20 times that of the Sun is compressed to the scale of an electron. This extreme condition, I speculate, might lead to a significant alteration in spacetime curvature, potentially reaching what I am thinking of as a 'zero degree' in the geodesic path. At this point, I wonder if spacetime could experience something akin to a rupture.
The observer in this scenario is posited within a unique frame of reference, influenced directly by these extreme conditions. This is a departure from the relative frames typically discussed in physics. As such, this observer's experience of time might differ radically from our conventional understanding, potentially displaying properties like bidirectionality.
As for the mathematics underpinning these ideas, I'm drawing inspiration from the Schwarzschild and Kerr metrics, which describe the gravitational field around black holes. While my understanding is limited, I'm intrigued by how these metrics might behave under the hypothetical conditions I've described. The negative time dilation values, which emerged from my rudimentary calculations, suggest to me a departure from traditional interpretations, possibly indicating a breakdown or unusual behavior in spacetime.
I recognize that my approach is highly theoretical and not based on the rigorous mathematical frameworks that professional physicists would employ. It's more a thought experiment, a way to imagine what might happen under extreme conditions and how that could possibly relate to our understanding of the universe's beginnings.
Defining a Unique Frame of Reference: Is it theoretically possible to define a unique frame of reference that is influenced directly by extreme gravitational conditions, such as those created by compressing a massive object to the scale of an electron? This frame would be distinct from standard frames in relativity, perhaps isolated or uniquely affected by these conditions. How might we approach defining and understanding such a frame, and what implications could this have for our understanding of spacetime and gravity?
(Overlooking Synchronicity and Relativity: very unscientific/unhealthy approach) :I am wondering if it is possible to explore the idea for 'a Unique Frame of Reference'. This concept would revolve around the development of an 'Existence Function'. This function would emphasize the fundamental existence of entities over their synchronous events in spacetime. Instead of focusing on when and where events like the classic train-lightning scenario occur relative to each other, this function would prioritize the very existence of these entities or events as its primary attribute. The aim here would be to shift the focus from the relative timing and positioning of events to a more foundational level of their existence. Could this offer a new perspective in understanding the nature of reality, especially under extreme conditions like those in my hypothesis? Is it possible to reconcile such a concept with the established principles of quantum mechanics and relativity?"
Spacetime Curvature at the Electron Scale: Considering the immense gravitational forces at play in my scenario, how might we conceptualize the curvature of spacetime at the scale of an electron? This question delves into the realm of quantum gravity – a territory where the classical laws of physics meet the probabilistic nature of quantum mechanics. Are there existing theories or models that could help us explore the behavior of spacetime curvature at such minute scales, particularly under extreme gravitational conditions?