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Contests Home

Current Essay Contest


Contest Partners: Fetzer Franklin Fund, and The Peter and Patricia Gruber Foundation

Previous Contests

Undecidability, Uncomputability, and Unpredictability Essay Contest
December 24, 2019 - April 24, 2020
Contest Partners: Fetzer Franklin Fund, and The Peter and Patricia Gruber Foundation
read/discusswinners

What Is “Fundamental”
October 28, 2017 to January 22, 2018
Sponsored by the Fetzer Franklin Fund and The Peter & Patricia Gruber Foundation
read/discusswinners

Wandering Towards a Goal
How can mindless mathematical laws give rise to aims and intention?
December 2, 2016 to March 3, 2017
Contest Partner: The Peter and Patricia Gruber Fund.
read/discusswinners

Trick or Truth: The Mysterious Connection Between Physics and Mathematics
Contest Partners: Nanotronics Imaging, The Peter and Patricia Gruber Foundation, and The John Templeton Foundation
Media Partner: Scientific American

read/discusswinners

How Should Humanity Steer the Future?
January 9, 2014 - August 31, 2014
Contest Partners: Jaan Tallinn, The Peter and Patricia Gruber Foundation, The John Templeton Foundation, and Scientific American
read/discusswinners

It From Bit or Bit From It
March 25 - June 28, 2013
Contest Partners: The Gruber Foundation, J. Templeton Foundation, and Scientific American
read/discusswinners

Questioning the Foundations
Which of Our Basic Physical Assumptions Are Wrong?
May 24 - August 31, 2012
Contest Partners: The Peter and Patricia Gruber Foundation, SubMeta, and Scientific American
read/discusswinners

Is Reality Digital or Analog?
November 2010 - February 2011
Contest Partners: The Peter and Patricia Gruber Foundation and Scientific American
read/discusswinners

What's Ultimately Possible in Physics?
May - October 2009
Contest Partners: Astrid and Bruce McWilliams
read/discusswinners

The Nature of Time
August - December 2008
read/discusswinners

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RECENT POSTS IN THIS TOPIC

Pavel Poluian: on 5/15/20 at 16:32pm UTC, wrote Dear Melanie! We understood a little in your essay. But what we understood...

David Brown: on 3/13/20 at 12:34pm UTC, wrote "Theoretical experiments applying information theory to problems such as...

Melanie Swan: on 3/12/20 at 22:50pm UTC, wrote Essay Abstract This essay argues that the AdS/CFT correspondence,...


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FQXi FORUM
September 17, 2021

CATEGORY: Undecidability, Uncomputability, and Unpredictability Essay Contest (2019-2020) [back]
TOPIC: Black Hole Zero-Knowledge Proofs by Melanie Swan [refresh]
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Author Melanie Swan wrote on Mar. 12, 2020 @ 22:50 GMT
Essay Abstract

This essay argues that the AdS/CFT correspondence, as a limits-based model of undecidability and non-computability, highlights quantum reality as being not only information-theoretic, but rigorously computational as a mathematically-sound domain with built-in cryptographic security features such that black holes provide their own zero-knowledge proofs. The AdS/CFT correspondence (anti-de Sitter space/conformal field theory) is a hypothesis asserting that any physical system with a bulk volume (such as a black hole) can be described by a boundary theory in one fewer dimensions. The result is that a seemingly complex incomputable system in a chaotic bulk volume is rendered solvable as a boundary theory in one fewer dimensions. Nature’s quantum security features provide an even more robust computational domain than was appreciated. These include the no-cloning theorem, the no-measurement principle, error correctability, provably-random statistical signatures per the SEI properties of quantum objects (superposition, entanglement, and interference), and zero-knowledge proofs (proofs revealing no information except whether a proposition is True or False). The zero-knowledge property is implicated in quantum computational systems in that a traditional prover-verifier relationship (an external prover) is not necessary because the quantum computer performs its own truth verification as part of the proof. The implication is that quantum computing has zero-knowledge proof technology built into it as a feature. BQP (the class of problems solvable with a quantum computer) computes quickly and soundly enough to provide its own computationally-verifiable proof. The consequence is that any quantum computational domain, including black holes, performs its own truth verification through zero-knowledge proofs. The result of this work is that the AdS/CFT correspondence is demonstrated as a juggernaut formulation that ties together not only physics and information theory in a limits-based computational method as a feature for analyzing problems in contemporary physics, but also incorporates a new level of soundness with cryptographic mathematical properties.

Author Bio

Melanie Swan, PhD, is a Technology Theorist in the Philosophy Department at Purdue University, a Research Associate at the UCL Centre for Blockchain Technologies, and a Singularity University faculty member. Her educational background includes an MBA in Finance from the Wharton School of the University of Pennsylvania, a PhD in Philosophy from Purdue University, and a BA in French and Economics from Georgetown University. She is the author of the best-selling book Blockchain: Blueprint for a New Economy and has a third book coming out in 2020, Quantum Computing: Physics, Blockchains, and Deep Learning Smart Networks.

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David Brown wrote on Mar. 13, 2020 @ 12:34 GMT
"Theoretical experiments applying information theory to problems such as the black hole information paradox have led to a refinement of expectations of what is thought to be possible in a potential era of quantum computing. ... Susskind (1995, extending the ideas of ‘t Hooft) proposed the holographic principle to consider black holes, suggesting a holographic correspondence between the 3D...

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Pavel Vadimovich Poluian wrote on May. 15, 2020 @ 16:32 GMT
Dear Melanie!

We understood a little in your essay. But what we understood - we really liked it. We believe that everything else is also good. We set your essay to a maximum rating of 10 points.

We wish you all the best!

Truly yours,

Pavel Poluian and Dmitry Lichargin,

Siberian Federal University.

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