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.

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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.

Contests Home

Current Essay Contest

*Contest Partners: Nanotronics Imaging, The Peter and Patricia Gruber Foundation, and The John Templeton Foundation*

Media Partner: Scientific American

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

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**What Is “Fundamental”**

*October 28, 2017 to January 22, 2018*

*Sponsored by the Fetzer Franklin Fund and The Peter & Patricia Gruber Foundation*

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**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.

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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*

Media Partner: Scientific American

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**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*

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**It From Bit or Bit From It**

*March 25 - June 28, 2013*

*Contest Partners: The Gruber Foundation, J. Templeton Foundation, and Scientific American*

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**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*

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**Is Reality Digital or Analog?**

*November 2010 - February 2011*

*Contest Partners: The Peter and Patricia Gruber Foundation and Scientific American*

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**What's Ultimately Possible in Physics?**

*May - October 2009*

*Contest Partners: Astrid and Bruce McWilliams*

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**The Nature of Time**

*August - December 2008*

read/discuss • winners

Current Essay Contest

Media Partner: Scientific American

Previous Contests

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

read/discuss • winners

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?

read/discuss • winners

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Introduction

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*Posts by the author are highlighted in orange; posts by FQXi Members are highlighted in blue.*

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RECENT POSTS IN THIS TOPIC

**Alexei Grinbaum**: *on* 4/8/15 at 20:08pm UTC, wrote Dear Mauro, Alas, I won't be in Växjö this year but I hope we'll have...

**Giacomo D'Ariano**: *on* 4/7/15 at 16:34pm UTC, wrote Dear Alexei I found interesting historical notes on you essay. In...

**Joe Fisher**: *on* 4/6/15 at 14:58pm UTC, wrote Dear Alexei, I think Newton was wrong about abstract gravity; Einstein was...

**Michel Planat**: *on* 3/6/15 at 16:12pm UTC, wrote Dear Alexei, I liked much your lucid account of the status of mathematics...

**Akinbo Ojo**: *on* 2/27/15 at 10:43am UTC, wrote Dear Alexei, Well done on your essay, although I find the dose of...

**Edwin Klingman**: *on* 2/27/15 at 8:41am UTC, wrote Dear Alexei Grinbaum, I very much enjoyed your essay on the mathematical...

**Alexei Grinbaum**: *on* 2/26/15 at 21:10pm UTC, wrote **Essay Abstract** Some mathematical theories in physics have claimed...

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Calculating the energy needed to acquire and compute information could help explain the (in)efficiency of human brains and guide the search for extra-terrestrial intelligence.

Using precision thermometry to make mini heat engines, that might, momentarily, bust through the thermodynamic limit.

FQXi FORUM

August 9, 2022

CATEGORY:
Trick or Truth Essay Contest (2015)
[back]

TOPIC: Mathematical investigation reveals a new understanding of quantum theory by Alexei Grinbaum [refresh]

TOPIC: Mathematical investigation reveals a new understanding of quantum theory by Alexei Grinbaum [refresh]

Some mathematical theories in physics have claimed explanatory superiority even in the absence of new predictions. This was justified by the clarity of their postulates. In particular, mathematical derivations drive home the importance of the composition rule and the continuity assumption as two pillars of quantum theory. Our approach sits on these pillars but it combines new mathematics with a testable prediction. If the observer is defined by a limit on string complexity, information dynamics leads to an emergent continuous model in the critical regime. Restricting it to a family of binary codes describing `bipartite systems,' we find strong evidence of an upper bound on bipartite correlations equal to $2.82537$. This is measurably different from the Tsirelson bound. The Hilbert space formalism emerges from this mathematical investigation as but an effective description of a fundamental discrete theory in the critical regime.

Alexei Grinbaum is a researcher at CEA-LARSIM located in Saclay near Paris and member of FQXi. His main interest is in the philosophy of physics and the foundations of quantum mechanics.

Dear Alexei Grinbaum,

I very much enjoyed your essay on the mathematical basis and understanding of quantum mechanics. I would call attention to your statement to the effect that

"Mathematical reconstruction of quantum theory… must be complemented with a quantitative bound on the amount of correlations…"

based on what is claimed to be "a fundamental fact about...

view entire post

I very much enjoyed your essay on the mathematical basis and understanding of quantum mechanics. I would call attention to your statement to the effect that

"Mathematical reconstruction of quantum theory… must be complemented with a quantitative bound on the amount of correlations…"

based on what is claimed to be "a fundamental fact about...

view entire post

report post as inappropriate

Dear Alexei,

Well done on your essay, although I find the dose of mathematical spices more than what my philosophy taste buds prefer.

Permit me to ask a philosophical question that may or may not be eventually relevant to the new mathematical model you are formulating:

**Can a Universe, along with its mathematical and/or physical objects perish?** If the universe can perish, what is the possible implication for physics that mathematical/ physical objects are not eternally existing things but have a finite duration of existence varying from object to object?

Regards,

Akinbo

report post as inappropriate

Well done on your essay, although I find the dose of mathematical spices more than what my philosophy taste buds prefer.

Permit me to ask a philosophical question that may or may not be eventually relevant to the new mathematical model you are formulating:

Regards,

Akinbo

report post as inappropriate

Dear Alexei,

I liked much your lucid account of the status of mathematics in the modern history of physics. May be we are at a stage where mathematics will clarify misconceptions and paradoxes about quantum reality. I have much respect to coding theory in this context, algebraic and quantum. To my knowledge, self dual classical codes and the Clifford quantum computing have been found to share many concepts that are also known in the context of efficient sphere packing (Sloane, Nebe et al). What you write about algebraic codes and anomalous large correlations (encompassing quantum correlations) is an exciting mathematical perspective that is certainly welcome in this contest. Manin-Marcolli maths is difficult and you do an excellent job by relating the KMS states and CHSH. I am familiar with Bost-Connes KMS paper and the relation to RH and quantum computing. In a different direction, I would like to mention another bound 2.566 >> 2v2 for CHSH-like correlations in entangled optical qubits in the paper 1403.0805 [quant-ph] by L. Olislager et al. Thank you for the comments on my essay and the starting of my counter.

Michel

report post as inappropriate

I liked much your lucid account of the status of mathematics in the modern history of physics. May be we are at a stage where mathematics will clarify misconceptions and paradoxes about quantum reality. I have much respect to coding theory in this context, algebraic and quantum. To my knowledge, self dual classical codes and the Clifford quantum computing have been found to share many concepts that are also known in the context of efficient sphere packing (Sloane, Nebe et al). What you write about algebraic codes and anomalous large correlations (encompassing quantum correlations) is an exciting mathematical perspective that is certainly welcome in this contest. Manin-Marcolli maths is difficult and you do an excellent job by relating the KMS states and CHSH. I am familiar with Bost-Connes KMS paper and the relation to RH and quantum computing. In a different direction, I would like to mention another bound 2.566 >> 2v2 for CHSH-like correlations in entangled optical qubits in the paper 1403.0805 [quant-ph] by L. Olislager et al. Thank you for the comments on my essay and the starting of my counter.

Michel

report post as inappropriate

Dear Alexei,

I think Newton was wrong about abstract gravity; Einstein was wrong about abstract space/time, and Hawking was wrong about the explosive capability of NOTHING.

All I ask is that you give my essay WHY THE REAL UNIVERSE IS NOT MATHEMATICAL a fair reading and that you allow me to answer any objections you may leave in my comment box about it.

Joe Fisher

report post as inappropriate

I think Newton was wrong about abstract gravity; Einstein was wrong about abstract space/time, and Hawking was wrong about the explosive capability of NOTHING.

All I ask is that you give my essay WHY THE REAL UNIVERSE IS NOT MATHEMATICAL a fair reading and that you allow me to answer any objections you may leave in my comment box about it.

Joe Fisher

report post as inappropriate

Dear Alexei

I found interesting historical notes on you essay. In particular, the citation from Bohr:

“The use of mathematical symbols secures the unambiguity of definition required for objective description”.

This makes apparent how casual was Niels in his writings, and why he was so often obscure and boring. A "symbol" does not secure anything. It is the mathematical definition beyond the symbol which secure objectivity, in the sense that we conventionally agree on everything is well defined mathematically.

Regarding your theory of the observer, I have already followed two of your talks, and have still difficulties understanding. The solution is that you will explain it to me personally, next time we meet, which I hope will be very soon (in Växjö?)

With my warmest regards

Mauro

report post as inappropriate

I found interesting historical notes on you essay. In particular, the citation from Bohr:

“The use of mathematical symbols secures the unambiguity of definition required for objective description”.

This makes apparent how casual was Niels in his writings, and why he was so often obscure and boring. A "symbol" does not secure anything. It is the mathematical definition beyond the symbol which secure objectivity, in the sense that we conventionally agree on everything is well defined mathematically.

Regarding your theory of the observer, I have already followed two of your talks, and have still difficulties understanding. The solution is that you will explain it to me personally, next time we meet, which I hope will be very soon (in Växjö?)

With my warmest regards

Mauro

report post as inappropriate

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