If you are aware of an interesting new academic paper (that has been published in a peer-reviewed journal or has appeared on the arXiv), a conference talk (at an official professional scientific meeting), an external blog post (by a professional scientist) or a news item (in the mainstream news media), which you think might make an interesting topic for an FQXi blog post, then please contact us at forums@fqxi.org with a link to the original source and a sentence about why you think that the work is worthy of discussion. Please note that we receive many such suggestions and while we endeavour to respond to them, we may not be able to reply to all suggestions.

Please also note that we do not accept unsolicited posts and we cannot review, or open new threads for, unsolicited articles or papers. Requests to review or post such materials will not be answered. If you have your own novel physics theory or model, which you would like to post for further discussion among then FQXi community, then please add them directly to the "Alternative Models of Reality" thread, or to the "Alternative Models of Cosmology" thread. Thank you.

Please also note that we do not accept unsolicited posts and we cannot review, or open new threads for, unsolicited articles or papers. Requests to review or post such materials will not be answered. If you have your own novel physics theory or model, which you would like to post for further discussion among then FQXi community, then please add them directly to the "Alternative Models of Reality" thread, or to the "Alternative Models of Cosmology" thread. Thank you.

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**Undecidability, Uncomputability, and Unpredictability Essay Contest**

*December 24, 2019 - March 16, 2020*

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*October 28, 2017 to January 22, 2018*

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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.

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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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*November 2010 - February 2011*

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**The Nature of Time**

*August - December 2008*

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Current Essay Contest

Previous Contests

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

read/discuss

read/discuss • winners

How can mindless mathematical laws give rise to aims and intention?

Contest Partner: The Peter and Patricia Gruber Fund.

read/discuss • winners

Media Partner: Scientific American

read/discuss • winners

read/discuss • winners

read/discuss • winners

Which of Our Basic Physical Assumptions Are Wrong?

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RECENT POSTS IN THIS TOPIC

**[[ddlink]]**: *on* 11/17/11 at 2:52am UTC, wrote watch Rolex first of its kind focusing settings Although the booth layout...

**Constantinos Ragazas**: *on* 3/14/11 at 14:46pm UTC, wrote Dear Lucian, A very impressive piece of work! I welcome your desire to...

**Peter Jackson**: *on* 3/13/11 at 21:19pm UTC, wrote Dear Lucian Fascinating and impressive, at least the parts I understood. ...

**Cristinel Stoica**: *on* 2/26/11 at 9:12am UTC, wrote Dear Prof. Ionescu, very profound and dense essay. I think that promoting...

**Lucian Ionescu**: *on* 2/16/11 at 10:17am UTC, wrote **Essay Abstract** Modeling reality is a zoom-in/out process best...

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FQXi FORUM

February 28, 2020

CATEGORY:
Is Reality Digital or Analog? Essay Contest (2010-2011)
[back]

TOPIC: “Reality”: a Discrete Hierarchic Duality of Finite Type by Lucian Miti Ionescu [refresh]

TOPIC: “Reality”: a Discrete Hierarchic Duality of Finite Type by Lucian Miti Ionescu [refresh]

Modeling reality is a zoom-in/out process best implemented as a resolution of finite type, in the mathematical sense. This means that at each level of details a finite number of independent degrees of freedom are introduced: dimensions, “digits”, graphs etc. The local corresponding properties (“particle” aspects) are complemented by global properties/correlations (“wave” aspects), providing the framework for the classical-quantum duality. Explicit examples are discussed: real numbers, Haar wavelets and Feynman graphs. The conclusion is: reality is discrete, hierarchic of finite type, well modeled by a duality of the type homology-cohomology. The development of physics, experimental and theoretical, ample supports this claims.

Lucian Miti Ionescu is associate professor of mathematics at Illinois State University with an established record of publications in mathematical-physics at international level. With a strong background in computer science, complemented by extensive work done in this area, the author proposes a project to design a new physics starting from general principles, from a point of view unifying quantum physics and theory of information, based on the current state-of-the-art in quantum mathematical physics and quantum computing.

Dear Prof. Ionescu,

very profound and dense essay. I think that promoting the "Feynman legacy" to this rank can trigger insights like those you presented. I have some technical difficulties understanding some of the things you mention, mostly because I don't know much about some of the results on which your ideas rely. For example, I only know about Kontsevich that he provided a path to non-commutative geometry, other than the more popular of Connes. Clearly there is a rich world of discrete features that can be exhibited by continuous structures, and this world is much richer if freed from the background manifold.

Best regards,

Cristi

report post as inappropriate

very profound and dense essay. I think that promoting the "Feynman legacy" to this rank can trigger insights like those you presented. I have some technical difficulties understanding some of the things you mention, mostly because I don't know much about some of the results on which your ideas rely. For example, I only know about Kontsevich that he provided a path to non-commutative geometry, other than the more popular of Connes. Clearly there is a rich world of discrete features that can be exhibited by continuous structures, and this world is much richer if freed from the background manifold.

Best regards,

Cristi

report post as inappropriate

Dear Lucian

Fascinating and impressive, at least the parts I understood. I'd value your views on mine, though from a different place! - needing good dynamic visualisation skills.

Best of luck

Peter

report post as inappropriate

Fascinating and impressive, at least the parts I understood. I'd value your views on mine, though from a different place! - needing good dynamic visualisation skills.

Best of luck

Peter

report post as inappropriate

Dear Lucian,

A very impressive piece of work! I welcome your desire to formulate physics in a new way. In my essay I seek to do the same, but with a very different approach. Mathematically it does not involve anything beyond multivariable calculus and continuous real functions. I mathematically derive Planck's Law for blackbody radiation and show that this Law is actually a mathematical tautology that describes the interaction of measurement. This is what really explains why the experimental spectrum is so indistinguishable from the theoretical. All the results and definitions I use are mathematical, with the 'prime physis quantity eta' (undefined and undefinable) providing the only connection to physical reality. Thus, in principle, the same theory so developed can be applied in any variety of ways to other contexts. Please read and comment if you are so inclined. Support my efforts, if you can, to place these results before the panel for review. As I am supporting your exceptional significant work.

Just a few days ago, I posted a mathematical proof of the following proposition.

“If the speed of light is constant, then light is a wave”

best wishes,

Constantinos

report post as inappropriate

A very impressive piece of work! I welcome your desire to formulate physics in a new way. In my essay I seek to do the same, but with a very different approach. Mathematically it does not involve anything beyond multivariable calculus and continuous real functions. I mathematically derive Planck's Law for blackbody radiation and show that this Law is actually a mathematical tautology that describes the interaction of measurement. This is what really explains why the experimental spectrum is so indistinguishable from the theoretical. All the results and definitions I use are mathematical, with the 'prime physis quantity eta' (undefined and undefinable) providing the only connection to physical reality. Thus, in principle, the same theory so developed can be applied in any variety of ways to other contexts. Please read and comment if you are so inclined. Support my efforts, if you can, to place these results before the panel for review. As I am supporting your exceptional significant work.

Just a few days ago, I posted a mathematical proof of the following proposition.

“If the speed of light is constant, then light is a wave”

best wishes,

Constantinos

report post as inappropriate

watch Rolex first of its kind focusing settings Although the booth layout also is a foreigner they all go back to the .

report post as inappropriate

report post as inappropriate

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