Discussion Overview
The discussion revolves around the theoretical limits of mass-energy that the Sun can contain without collapsing, as derived from Buchdahl's Theorem. Participants explore the implications of this theorem in the context of the Sun's current mass and radius, considering both theoretical calculations and physical realities.
Discussion Character
- Technical explanation
- Conceptual clarification
- Debate/contested
- Exploratory
Main Points Raised
- Some participants assert that calculations based on Buchdahl’s Theorem suggest the Sun could absorb almost 200,000 more Suns without collapsing.
- Others argue that with such an increase in mass, the Sun would become a black hole, with the event horizon at its current surface, indicating a collapse is inevitable.
- A participant highlights that Buchdahl's Theorem assumes incompressible material and constant density, which does not apply to the Sun, suggesting the theoretical maximum mass may not be achievable.
- Another participant notes that the only conditions of the theorem that the Sun satisfies are its mass and radius, implying limitations in applying the theorem directly to the Sun.
- Quotations from Sean Carroll's work are presented, emphasizing that exceeding the mass limit leads to no static solutions in general relativity, which supports the idea of inevitable collapse into a black hole.
- There is a discussion about the difference between "radius" and "circumference" of the Sun, with a participant indicating that while it could be a point of contention, it may not be significant enough to warrant further debate.
Areas of Agreement / Disagreement
Participants express differing views on the applicability of Buchdahl's Theorem to the Sun, with some agreeing on the theoretical limits while others emphasize the physical realities that prevent reaching those limits. The discussion remains unresolved regarding the implications of the theorem in the context of the Sun.
Contextual Notes
Participants note that Buchdahl's Theorem relies on assumptions that may not hold for the Sun, such as constant density and incompressibility, which could affect the validity of the maximum mass calculations.