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Undecidability, Uncomputability, and Unpredictability Essay Contest
December 24, 2019 - March 16, 2020
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What Is “Fundamental”
October 28, 2017 to January 22, 2018
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Wandering Towards a Goal
How can mindless mathematical laws give rise to aims and intention?
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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
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January 9, 2014 - August 31, 2014
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It From Bit or Bit From It
March 25 - June 28, 2013
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Questioning the Foundations
Which of Our Basic Physical Assumptions Are Wrong?
May 24 - August 31, 2012
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Is Reality Digital or Analog?
November 2010 - February 2011
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What's Ultimately Possible in Physics?
May - October 2009
Contest Partners: Astrid and Bruce McWilliams

The Nature of Time
August - December 2008

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Terry Padden: on 10/13/09 at 1:29am UTC, wrote Andrey An impressive essay that shows that there is much we don't...

Andreas Martin Lisewski: on 10/9/09 at 16:14pm UTC, wrote This essay is a nice needle in a haystack! Rigorous and quite clear.

Andrey Akhmeteli: on 10/5/09 at 16:22pm UTC, wrote Essay Abstract The matter field can be naturally eliminated from...


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First Things First: The Physics of Causality
Why do we remember the past and not the future? Untangling the connections between cause and effect, choice, and entropy.

Can Time Be Saved From Physics?
Philosophers, physicists and neuroscientists discuss how our sense of time’s flow might arise through our interactions with external stimuli—despite suggestions from Einstein's relativity that our perception of the passage of time is an illusion.

A devilish new framework of thermodynamics that focuses on how we observe information could help illuminate our understanding of probability and rewrite quantum theory.

Gravity's Residue
An unusual approach to unifying the laws of physics could solve Hawking's black-hole information paradox—and its predicted gravitational "memory effect" could be picked up by LIGO.

Could Mind Forge the Universe?
Objective reality, and the laws of physics themselves, emerge from our observations, according to a new framework that turns what we think of as fundamental on its head.

January 27, 2020

CATEGORY: What's Ultimately Possible in Physics? Essay Contest (2009) [back]
TOPIC: Is No Drama Quantum theory Possible? by Andrey Akhmeteli [refresh]
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Author Andrey Akhmeteli wrote on Oct. 5, 2009 @ 16:22 GMT
Essay Abstract

The matter field can be naturally eliminated from the equations of the Klein-Gordon-Maxwell electrodynamics in the unitary gauge. The resulting equations describe independent dynamics of the electromagnetic field in the following sense: if components of the 4-potential of the electromagnetic field and their first derivatives with respect to time are known in the entire space at some time point, the values of their second derivatives with respect to time can be calculated for the same time point, so the Cauchy problem can be posed, and integration yields the 4-potential in the entire space-time. This surprising result both permits mathematical simplification, as the number of fields is reduced, and can be useful for interpretation of quantum theory. For example, in the Bohm interpretation, the electromagnetic field can replace the wave function as the guiding field. Independent of the interpretation, quantum phenomena can be described in terms of electromagnetic field only. A generalized Carleman linearization procedure generates for the system of nonlinear partial differential equations of the Klein-Gordon Maxwell electrodynamics a system of linear equations in the Hilbert space, which looks like a second-quantized theory and is equivalent to the original nonlinear system on the set of solutions of the latter. Similar, but less general results are obtained for the Dirac-Maxwell electrodynamics.

Author Bio

Andrey Akhmeteli obtained his PhD in theoretical and mathematical physics from Moscow University and has worked there and in other research and education institutions.

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Andreas Martin Lisewski wrote on Oct. 9, 2009 @ 16:14 GMT
This essay is a nice needle in a haystack! Rigorous and quite clear.

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Terry Padden wrote on Oct. 13, 2009 @ 01:29 GMT

An impressive essay that shows that there is much we don't understand in the accepted science we think everyone understands.

In fact you write "it was not noticed THEN or LATER that the equations of Schroedinger's work share another unique and important feature of "new electrodynamics". This a perfect example of what I call the "regressive"method. Nearly everyone is charging ahead using the latest new maths or crazy physical idea. That is the progressive route. It assumes the science we have is perfect. Your essay demonstrates it has significant imperfections.

In my essay I argue that the first step in reaching the ultimate limits of physics must be regressive. We must first ensure that the existing foundations are sound and adequate, before charging ahead with Bits of String.

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