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

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If the earth’s solar input were replaced by a laser beam of equal power, the input entropy would be zero while its apparent output entropy rate would be about the same. Thus at a steady state the output entropy rate would also be zero, because of entanglement among the output modes. The earth would be functioning as a giant down-converter. Unlike an ordinary down-converter, the correlations would be exceedingly computationally complex and unobservable in practice.
Up to now, I have considered only geologically stable “hard” degrees of freedom in the crust, and neglected the far more numerous “soft” degrees of freedom (e.g. phonons and photons) in not only the crust but the whole body of the earth. These degrees of freedom have entropy about a million times greater than the annual radiant entropy flux leaving the earth. Could it be that, if Jimmy Hoffa had been were cremated in a way that efficiently coupled to soft degrees of freedom in the earth (deep underground, for example), this soft evidence would persist for about half a million years, even after the hard evidence was gone? Probably not, because the entangled reference systems purifying these soft degrees of freedom are largely escaped, neutralizing their usefulness in recovering what happened to Hoffa. (This is similar to the argument given earlier that newly solidified crustal rock is not automatically recording a hash from which a low-resolution surveillance video of the earth’s surface can be recovered.)
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 20 and 21: But suppose we wanted to store not
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: • Is random input (eg radiation f
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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