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What Is “Fundamental”
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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
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Trick or Truth: The Mysterious Connection Between Physics and Mathematics
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How Should Humanity Steer the Future?
January 9, 2014 - August 31, 2014
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It From Bit or Bit From It
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Which of Our Basic Physical Assumptions Are Wrong?
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Is Reality Digital or Analog?
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Joe Fisher: on 4/7/15 at 15:30pm UTC, wrote Dear Carsten, I think Newton was wrong about abstract gravity; Einstein...

Jacek Safuta: on 3/11/15 at 15:52pm UTC, wrote Hi Carsten, As a student of physics you are supposed to be very open...

Thierry PERIAT: on 3/6/15 at 16:31pm UTC, wrote Sir, Thanks so much for your essay. I did appreciate the presentation and...

Edwin Klingman: on 3/4/15 at 22:47pm UTC, wrote Dear Carsten, Your essay is magnificent, and most of your conclusions are...

Carsten Spanheimer: on 3/4/15 at 17:23pm UTC, wrote Essay Abstract I propose to ask mathematics itself for the possible...


Georgina Woodward: "Robert, re. your ""one huge mistake"- they are describing non-existent..." in Schrödinger’s Zombie:...

Robert McEachern: "They are proud, because they have solved some problems, which are..." in Will A.I. Take Over...

Joe Fisher: "Today’s Closer To Truth Facebook page contained this peculiar piece of..." in First Things First: The...

Robert McEachern: "Eckard, I do have an interest in the history, but not as much as I used..." in First Things First: The...

Georgina Woodward: "The Schrodinger's cat thought experiment presents 3 causally linked state..." in Schrödinger’s Zombie:...

Roger Granet: "Well put! Physics is hard, but biochemistry (my area), other sciences..." in Will A.I. Take Over...

Steve Dufourny: "lol Zeeya it is well thought this algorythm selective when names are put in..." in Mass–Energy Equivalence...

Steve Dufourny: "is it just due to a problem when we utilise names of persons?" in Mass–Energy Equivalence...

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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.

October 19, 2019

CATEGORY: Trick or Truth Essay Contest (2015) [back]
TOPIC: A Mathematical Approach to Physical Realism by Carsten S.P. Spanheimer [refresh]
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Author Carsten S.P. Spanheimer wrote on Mar. 4, 2015 @ 17:23 GMT
Essay Abstract

I propose to ask mathematics itself for the possible behaviour of nature, with the focus on starting with a most simple realistic model, employing a philosophy of investigation rather than invention when looking for a unified theory of physics. Doing a 'mathematical experiment' of putting a least set of conditions on a general time-dependent manifold results in mathematics itself inducing a not too complex 4-dimensional object similar to our physical spacetime, with candidates for gravitational and electromagnetic fields emerging on the tangent bundle. This suggests that the same physics might govern spacetime not only on a macroscopic scale, but also on the microscopic scale of elementary particles, with possible junctions to quantum mechanics.

Author Bio

The author, born in 1964, having a background of electronics, software engineering and general problem solving, is currently a student of physics at the University of Tübingen, Germany.

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Edwin Eugene Klingman wrote on Mar. 4, 2015 @ 22:47 GMT
Dear Carsten,

Your essay is magnificent, and most of your conclusions are probably true. You began with math as our language to describe logical behavior. I believe that logic is a key feature of physical reality and that physical reality supports AND and NOT logic at every level of structure, and thus math applies at every level.

Your approach based on two axioms and the...

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Thierry PERIAT wrote on Mar. 6, 2015 @ 16:31 GMT

Thanks so much for your essay. I did appreciate the presentation and at a deeper level the paragraph concerning the quaternions.

I agree with the idea that quaternions (and probably octonions) play a central role in the "fabrication" of a given geometry because they can be directly related to the gravitational term appearing in the Lorentz-Einstein law.

Perhaps my own approach (which is only one made by an amateur) can be helpfull for your own research:

The Differential of the Triad and the Extended Lie Products

Like you, I have presented an essay here.

Thierry PERIAT

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Jacek Safuta wrote on Mar. 11, 2015 @ 15:52 GMT
Hi Carsten,

As a student of physics you are supposed to be very open minded. You ask questions and you are not attached to the existing paradigms. You propose: “…we know in advance that this will effectively come out as a (3+1) spacetime.” You are looking for axioms in physics. There were many attempts to formulate axioms in physics (D. Hilbert, J. von Neumann, L. Nordheim, H. Weyl, E. Schrödinger, P. Dirac, E. P. Wigner and others). All these efforts failed . That is a pity however a deductive system can consist of axioms or other, already established theorems. As far theorems were reserved exclusively for mathematics. That means that we can use theorems only if we accept that the reality is isomorphic to mathematical structures. (Not necessarily vice versa). I think you agree to that point.

My proposal is to use the geometrization conjecture, proved by Perelman (so it is a theorem). We have the set of 8 Thurston geometries. We can treat them as a space-like, totally geodesic submanifolds of a 3+1 dimensional spacetime… and get all interactions and matter.

If you are interested you can find details in my essay

I would appreciate your fresh view and comments. Thank you.


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Joe Fisher wrote on Apr. 7, 2015 @ 15:30 GMT
Dear Carsten,

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

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