Recent content by DanteKennedy

How about the idea that the universe could give an illusion of energy appearing or disappearing out of nowhere by having extra invisible field that can absorb and give energy to matters? Not a conventional physics but could be a fun thought experiment🤔

So according to current understanding in physics, we cannot have any type of universe that obeys relativity while not holding energy-momentum conservation locally? Which means local conservation is a consequence of relativity in a mathematical level?

To help with the idea, imagine a box sits in lab in frame S. At some moment, it somehow spontaneously creates 10 J of energy from nothing, without any push, so its momentum doesn't change: ΔE = 10 J, Δp = 0. Observer S' moves past at v = 0.6c (so γ = 1.25). Does this energy-creation event look...

Thanks, so it seems like no such triangle exist

No attempts to solve it by myself yet. It would be very nice if someone can help me

I admit that it could get annoying, hehe. But thank you for answering some of my questions, even the QM guide

I wonder if large object can be treated as many independent particles in quantum framework. If a single particle has higher tunneling probability than a whole object, why the object doesn't experience constant "partial tunneling"? Or did it already happen in biology? I'm changing the subject...

So for large objects, their wave function is so localized and are constantly being measured by their surroundings, effectively pinning their position? Am I right?

But how exactly is the process of collapsing superposition leads to the effective prevention of tunneling for large objects?

Interesting. Are degrees of freedom a dimensionality for quantum object? Like the x y z of a 3d plane (or roughly like that)?

Are there other general reasons macroscopic tunneling never happens, besides the exponentially smaller probability as mass increases?

Hmm, so this is related to the exponentially smaller tunneling probability on the earlier part of this thread? And also related to the law of large numbers?

Also, thank you all for giving the tips. I appreciate it👍

I'm just starting to learn the basics of integral. I can't say that I've mastered differentiation but I can do it

Does quantum tunneling also allow phenomenon like spontaneous rearrangement? Like a cup morphed into plate (ofc it's an extreme example but the idea is the same), or maybe a much "simpler" phenomenon like DNA mutations? Can tunneling do such thing while conserving energy?