Monday, January 30, 2012

Robert Anton Wilson via. Bell's Theorem, No-cloning theorem, holographic principle and black hole complimentarity

From reading aloud 'The Law's of acceleration by Robert Anton Wilson today, from his book 'Cosmic Trigger' I was reminded of his exponential, holographic prose, and his taking part in the Physics Consciousness Research Insitute in Berkeley where he met Saul Paul Sirag, Jack Sarfatti and other experimental, open minded physicists.

In Saul Paul Sirag's great epilogue to 'Cosmic Trigger' he mentions his interest in Arthur Eddington, and his imapct on his 1977 published paper 'A combination derivation of the Proton-Electron mass ratio' which includes the discovery that 'Baryon' numbers are created.

Baryon caught my eye in the wiki' entry for 'Black Hole' Complimentarity:

The stretched horizon is conducting with surface charges which rapidly spread out over the horizon.
Global symmetries don't exist in quantum gravity. Baryon number is violated, but only at very small scales, and the proton has a very long lifetime. But with a short enough time resolution, the proton oscillates between different baryon numbers and the time warping near the horizon magnifies that. Alternatively, the hot temperatures of the stretched horizon cause the proton to decay. But an infalling observer never has time to see the proton decay.--

So I jumped into wikipedia and here's a few cutting to allow you to follow my trane' of thoughts. Where do they go?

--Steve fly agaric 23 Pratt. January 30th 2012. Amsterdam

Bell's theorem and no-cloning theorem

members of the Fundamental Fysiks Group latched onto a topic, known as "Bell's theorem," and rescued it from a decade of unrelenting obscurity. The theorem ... stipulated that quantum objects that had once interacted would retain some strange link or connection, even after they had moved arbitrarily far apart from each other. ... Working in various genres and media, the Fundamental Fysiks Group grappled with Bell's theorem and quantum entanglement. ... In the process, they forced a few of their physicist peers to pay attention to the topic ... From these battles, quantum information science was born. The hippie physicists' concerted push on Bell's theorem and quantum entanglement instigated major breakthroughs ... The most important became known as the "no-cloning theorem," a new insight into quantum theory that emerged from spirited efforts to wrestle with hypothetical machines dreamed up by members of the Fundamental Fysiks Group.[5]



There is a classical analogue to the quantum no-cloning theorem, which we might state as follows: given only the result of one flip of a (possibly biased) coin, we cannot simulate a second, independent toss of the same coin. The proof of this statement uses the linearity of classical probability, and has exactly the same structure as the proof of the quantum no-cloning theorem. Thus if we wish to claim that no-cloning is a uniquely quantum result, some care is necessary in stating the theorem. One way of restricting the result to quantum mechanics is to restrict the states to pure states, where a pure state is defined to be one that is not a convex combination of other states. The classical pure states are pairwise orthogonal, but quantum pure states are not.

(Navigating the Holographic Labyrinth-Horizon's)

Hawking remained convinced that the equations of black hole thermodynamics together with the no-hair theorem led to the conclusion that quantum information may be destroyed. This annoyed many physicists, notably John Preskill, who in 1997 bet Hawking and Kip Thorne that information was not lost in black holes. The implications Hawking had opined led to the Susskind-Hawking battle, where Leonard Susskind and Gerard 't Hooft publicly 'declared war' on Hawking's solution, with Susskind publishing a popular book about the debate in 2008 (The Black Hole War: My battle with Stephen Hawking to make the world safe for quantum mechanics, ISBN 9780316016407). The book carefully notes that the "war" was purely a scientific one, and that at a personal level, the participants remained friends.[2] The solution to the problem that concluded the battle is the holographic principle, which was first proposed by 't Hooft but was given a precise string theory interpretation by Susskind. With this, as the title of an article puts it, "Susskind quashes Hawking in quarrel over quantum quandary".[3]

How The Hippies Saved Fysiks: Holographic Information Juxtaposition?

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 The group held informal discussions on Friday afternoons to explore the philosophical implications of quantum theory. Leading members included Fritjof Capra, John Clauser, Philippe Eberhard, Nick Herbert, Jack Sarfatti, Saul-Paul Sirag, Henry Stapp, and Fred Alan Wolf.[1]
David Kaiser wrote a book titled How the Hippies Saved Physics: Science, Counterculture, and the Quantum Revival which had as a thesis that the group's meetings and papers helped to nurture and advance the ideas in quantum physics that came to form the basis of quantum information science.[2]

Black Hole Complimentarity
(Co-operation, mutual co-existence, collaborative, connected, network?)

Leonard Susskind[3] proposed a radical resolution to this problem by claiming that the information is both reflected at the event horizon and passes through the event horizon and can't escape, with the catch being no observer can confirm both stories simultaneously. According to an external observer, the infinite time dilation at the horizon itself makes it appear as if it takes an infinite amount of time to reach the horizon. He also postulated a stretched horizon, which is a membrane hovering about a Planck length outside the event horizon and which is both physical and hot. According to the external observer, infalling information heats up the stretched horizon, which then reradiates it as Hawking radiation, with the entire evolution being unitary. However, according to an infalling observer, nothing special happens at the event horizon itself, and both the observer and the information will hit the singularity. This isn't to say there are two copies of the information lying about — one at or just outside the horizon, and the other inside the black hole — as that would violate the no cloning theorem. Instead, an observer can only detect the information at the horizon itself, or inside, but never both simultaneously. Complementarity is a feature of the quantum mechanics of noncommuting observables, and Susskind proposed that both stories are complementarity in the quantum sense.