Could Discrete Spacetime Redefine General Relativity in Cosmology?

AI Thread Summary
The discussion explores whether general relativity, which is based on the assumption of continuous spacetime, would remain valid if spacetime were considered discrete at an extremely small scale, such as the Planck length and time. Participants debate the implications of this shift on the foundational principles of cosmology and the potential need for a new framework to accommodate discrete spacetime. The conversation highlights the challenges in reconciling discrete models with established theories and the impact on our understanding of gravity and the universe. Suggestions for appropriate forums for such inquiries are also mentioned. Overall, the topic raises significant questions about the nature of spacetime and its implications for theoretical physics.
Richo
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Would general relativity (axiom: spacetime is continuous) still work if we changed the axiom to:
spacetime is discrete (but each individual chunk of it is so incredibly small* relative to a quark or gluon
that it makes no difference)?

*e.g. 3D's of Planck length, 1D of Planck time
 
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I was advised to use a Homework forum. If this is inappropriate, please advise if you know the right forum for me to pose such questions.
As a senior in retirement, physics is my 'home work' but not my 'homework', sorry.
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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