AN 3.136 suttacentral.net/en/an3.136 states dhammas exist independent of cognition. Thus, your post about how 'the (physical) world' cannot exist without mind is unrelated to Buddhism. The Buddha concerned himself with suffering & its cessation and used the term "the world" as a synonym for suffering. Thus, when the Buddha taught the world arises due to ignorance, he was referring to the world of suffering. Refer to AN 4.45; SN 12.44; etc

To add, it is best to include some references to suttas or scripture when you make assertions about what the Buddha taught. Regards

You have not understood the sutra correctly, What Buddha States is that the nature of those dhamma exists whether or not Buddha exists. The nature of a mother is loving to their child whether she is alive or passed away. However, she might not be around to exhibit it.

My understanding is correct. What Buddha states is that the nature of those dhamma exists whether or not Buddha exists. In other words, the nature of those dhamma exists when no human being has cognised those dhammas since only a Buddha cognises & reveals those dhammas.

Therefore, the nature exists but the dhamma themselves might seize to exists.

@Dhammadhatu I added one reference to the answer. I'll find more and add as I read on the tipitaka. May you realizes the Four Noble Truths.

Your understanding of some scientific aspects is wrong. We do have a pretty clear idea of how the brain storages memory (we've even brought it to the molecular level and to neuron spin structure). Another quite common mistake is to say that the observer changes its surroundings and that the Schrödinger's cat is an example... That is simply not true. Quantum Mechanics proves and explains why observation changes a quantum state, but first you must understand what "observation" means. It is not a vague term: it means interaction with a classical quantity (i.e, non-quantized), not with a person.

References on how memory is encoded in the brain? Just because you use words like neuron spin structure, without references it's as good as saying it's all stored in your own attic.

@QuantumBrick consciousness definitely doesn't depend on brain, but a brain depends on consciousness to be "alive". example, some patients judged brain-dead, when revived, they recall what happened (amazing encounters and visions) during those "dark" hours.

@QuantumBrick a meditator can "leave" the body and see, hear (from distances beyond where the body located... etc. another e.g. for consciousness doesn't depend on brain. but this truth can only be experienced, not argued.

@RavindranathAkila References are my stronghold. See livescience.com/32798-how-are-memories-stored-in-the-brain.h‌​tml. Apart from that all I have are RMN articles.

@Bhumishu米殊 A truth that cannot be argued is not a truth. It's not a fact. It's pretty much nothing.

@QuantumBrick I beg to differ. It seems it isn't your stronghold. I won't elaborate but will allow others to refer to your own reference and conclude the validity of your statements against references.

@Ravindranath Akila + Dhammadhatu well, in the Diamond Sutra, Buddha said "所言一切法者，即非一切法，是故名一切法", i.e., all Dharmas are not Dharmas, the Buddha seriously declared that he never spoken any Dharmas (若人言：『如來有所說法。』即為謗佛)... well again, to easily stamp out any "evil" because our brains can't comprehend, we better label the Sutra contained such saying as - fake (because it's in Classical Chinese) :D~!

@RavindranathAkila The main reference for this subject is the classic nature.com/nrn/journal/v15/n3/abs/nrn3667.html. Nature is a generally easy read for scientists of all areas.

@QuantumBrick "A truth that cannot be argued is not a truth. It's not a fact." I said it can be experienced. Something can be experienced is a concrete fact, more FACT than experiemental fact. I can only say, that you don't have a mind ready for higher knowledge. all the best.

Schizophrenic people are absolutely certain they can hear God's voice commanding them to kill their whole families. I can only say, that if you don't have a mind capable of questioning your own experiences, you are not ready for any knowledge - specially what you define as "high".