Quantum Information, the Ambiguity of the Past, and the Birth ... - PiTP

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But suppose we wanted to store not all or most, but a lot of information, say a real-time video surveillance of entire earth surface at millimeter-millisecond resolution. This works out to about 10 16 bits/sq m year, well within geological capture rate. Is this scary thing perhaps happening already, automatically, without deliberate human effort, just because frozen accidents in newly formed rock in a sense provide a hash of the current state of the earth? Probably not, due to randomizing effect of dynamics: recovering a minority share of the output of a known random permutation (or known random unitary) reveals almost nothing about a minority share of its input.
Some further Questions • Is it really impossible to recapture the escaped radiation? • What is the ontological status of escaped information? Does the universe remember where the raindrops fell, even after all terrestrial evidence is gone? • Is random input (e.g. entropy of incoming solar radiation) necessary to make the earth forget things? • Even after classical information is lost from “hard” geological storage, might it still be retained in the earth’s far more numerous “soft” degrees of freedom such as phonons in the earth’s core and mantle?
Page 1 and 2: Quantum Information, the Ambiguity
Page 3 and 4: After the experiment is over, even
Page 5 and 6: (This typically happens when the en
Page 7 and 8: To the amazement of most of the res
Page 9 and 10: Nowadays, it is tempting to believe
Page 11 and 12: Even in today’s world, much macro
Page 13 and 14: But I think some information really
Page 16 and 17: So we are motivated to add a new le
Page 18 and 19: How to obliterate earthly evidence
Page 22 and 23: Can we arrange for escaped informat
Page 24 and 25: • Can we outrun the radiation? Fo
Page 26: Ontological Status of Escaped Infor
Page 29 and 30: • Is random input (eg radiation f
Page 31 and 32: Up to now, I have considered only g
Page 33 and 34: Looking inside a pottery kiln by it
Page 35 and 36: Most classical information, such as
Page 37 and 38: Enough about information & remember
Page 39 and 40: Self-organization, the spontaneous
Page 41 and 42: Wake behind Stepping Stone (Kamo Ri
Page 43 and 44: In the philosophy of science, the p
Page 45 and 46: A trivially orderly sequence like 1
Page 47 and 48: At equilibrium, complexity still pe
Page 49 and 50: Conversely, what else is required,
Page 51 and 52: Dissipation without Complexity 50 C
Page 53 and 54: Are some dissipative environments s
Page 55 and 56: Extra Slides
Page 57 and 58: The input/output graph of this or a
Page 59 and 60: Problem: scaling with number: we wo
Page 61 and 62: Two Upper Neighbors Past Future Two
Page 63: Information budget for random permu

Quantum Information, the Ambiguity of the Past, and the Birth ... - PiTP

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