Thank you for the detailed summary. I look forward to learning more from your expertise. If I may, might I ask some follow up questions? I think what you wrote is all a bit over my head, and I’m hoping you can clarify some items for me
1. Can you please provide a mathematical definition for sliding vector? Just an equation, no words.
2. It seems to me that general relativity and Lagrangian dynamics are not mutually exclusive. I can take Einstein’s field equations, and under the weak field limit, derive lagrangian dynamics for an object in a gravitational field. So even though GR is more widely applicable than classical dynamics, it appears that Einstein’s very own equations support a force interpretation for gravity in the weak field limit. Hence, I am not contradicting Einstein. Here is my question:
Beginning with Einstein’s field equations, can you please demonstrate that lagrangian dynamics are in fact incompatible in this limit? This would be a proof by contradiction, and would provide evidence for your claim.
3. Carl Sagan believed the earth was round. Do you?
4. Beginning with Einstein’s field equations, it can be shown that parallel lines can either stay parallel, converge, or diverge depending on a particular term in the equations. Do you know what this term is and what it’s geometrical interpretation is?
5. Einstein’s field equations are absent of mass/energy only in a particular limiting case. In this limiting case a specific object in the equations is negligible. Do you know what this object is?
I look forward to your replies