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RECENT POSTS IN THIS TOPIC

Peter Jackson: on 2/23/18 at 19:47pm UTC, wrote Christian, Shame you're not engaging in the process and answering posts. I...

Steven Andresen: on 2/22/18 at 6:38am UTC, wrote Dear Christian If you are looking for another essay to read and rate in...

Steve Dufourny: on 2/16/18 at 19:43pm UTC, wrote Hello :) I like , of course they are the sphere :) do uou know my theory...

Satyavarapu Gupta: on 2/14/18 at 1:07am UTC, wrote Dear Prof Christian Waldvogel Wonderful OP words... "Around two-thousand...

James Hoover: on 2/11/18 at 17:17pm UTC, wrote Christian, I feel every concept contributes to an understanding of...

Dizhechko Semyonovich: on 2/10/18 at 11:37am UTC, wrote Dear Christian Waldvogel, ancient Greek philosophers were right when...

Juan Ramón González Álvarez: on 2/7/18 at 0:49am UTC, wrote A sphere is a mathematical idealization that can be used to describe some...

James Hoover: on 2/6/18 at 23:33pm UTC, wrote Christian, A quite interesting essay. I would think that a Cosmology of...


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FQXi FORUM
August 22, 2019

CATEGORY: FQXi Essay Contest - Spring, 2017 [back]
TOPIC: Essay for a Cosmology of Inversion by Christian Waldvogel [refresh]
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Author Christian Waldvogel wrote on Feb. 2, 2018 @ 18:48 GMT
Essay Abstract

Around two-thousand years ago, a book with texts by some of the philosophers of Greek antiquity was compiled. It contained an aphorism stating that «God is the Infinite Sphere whose Center is Everywhere and Circumference Nowhere.» Over the course of the centuries, this image of of an impossible sphere was adapted to no longer describe God, but to imagine the shape of the Universe. Using the dream-like quality of this impossible geometry as an argument, and a text by Jorge Luis Borges as a guide, the author follows a philosophical chain of associations that lead from one fundamental to another, from geometry to music to language to intelligence to paradoxa to spatial inversions to infinity. This tour d’horizon inspires the proposal of a novel geometric shape—the ‹spherene›—which may suffice the conditions called for in the aphorism, while possibly being globally hyperbolic. Maybe one day, we will learn that the Greek philosophers were right all along. The argumentative structure of the text assumes the form of a lemniscate, supporting the conclusion that fundamentals build on other fundamentals, organized in infinite loops. Notes provide alternate readings, supplemental information and sometimes little escapes.

Author Bio

Christian Waldvogel is a conceptual artist, architect and space researcher. His ongoing series of implemented thought experiments covers the timespan from the antiquity to an uncharted future, and topics ranging from particle physics and the shape of the universe to literature and philosophy. He engages in cooperations with the likes of biologists, astronauts, the Swiss Air Force, or the physicists at CERN, producing thought-provoking works in various media. Waldvogel holds an architecture degree from ETHZ and RISD, has exhibited in museums internationally, authored three monographs and served as a Co-Chair for the ESA Topical Team Arts & Science.

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Peter Jackson wrote on Feb. 4, 2018 @ 13:37 GMT
Christian,

I loved your essay, as an Astronomer, as a Cosmologist, as a Physicist and as an Architect. I've published a model of coherent galaxy cyclic evolution which scales up to fit the complex CMBR anisotropies exceptionally well with a 'quasar' type dynamic with torus and orthogonal axial outflows encompassed by an etherial oblate spheroid. There are strong similarities with the spherine. I agree your analysis of a sphere and extend that to rotational dynamics and momentum distribution.

My present essay agrees; "geometry is not limited to what is visible. Electric fields can be described in geometric terms, as can gravity and everything that is wave-like.."

I also loved your incisive sentence; "The translation from one system to another, possibly incompatible system poses extraordinary and sometimes insurmountable difficulties, like trying to express a dream by means of architecture or forming a sphere from a sheet of paper." but think even insurmountable can be surmounted with a better approach to thinking, showing, as "Roger Penrose argues that the key to the reconciliation of Relativity and Quantum Mechanics is the human mind"

Also "Wittgenstein famously described the boundary of one’s world as being set by the extent of one’s language" so true, (and I'm sure you're aware of his affinity with the language of Architecture)

Though you wrote; "one may also find the theory unifying Relativity and Quantum Mechanics, although possibly written in an as yet undiscovered language." I hope you'll recognise my language - the problem is the language of architectural geometry is one most in quantum physics may not understand! (Declan Trails essay gives the matching maths and beautiful curve for them).

Most here may think your essay to etherial but not me. Beautifully done. I hope you don't find mine to mechanistic!

Very best

Peter

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James Lee Hoover wrote on Feb. 6, 2018 @ 23:33 GMT
Christian,

A quite interesting essay. I would think that a Cosmology of Inversion might not just be a philosophical inversion but also a physical inversion, represented by an inverted big-bang, described through one equation by Martin Bojowald who suggested that the big-bang was not the beginning of everything but merely a transition -- the end of a previous universe collapsing into itself, a sort of a white hole rather than a black hole.

Does you inversion go beyond the interdependent systems of mind, perception and knowledge which you say at some point flip back onton themselves, like inversions, rings, and spherenes?

Your fundamental is the concept of inversion? My concept of fundamental might interest you as well.

Jim HOover

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Juan Ramón González Álvarez wrote on Feb. 7, 2018 @ 00:49 GMT
A sphere is a mathematical idealization that can be used to describe some objects. The Earth shape can be approximately modeled as a sphere for many applications, but it is not a sphere. We often represent atoms as little balls, but atomic surfaces are not spheres. I see no reason to believe that the Universe, a physical system would have an idealized mathematical shape. The reconciliation of relativity and quantum mechanics do not have anything to do with the human mind, and we do not need a "yet undiscovered language" to unify relativity and quantum mechanics.

Similar remarks about the 'spherene', adding that measured curvature in universe is not "constant negative". Infinite space either implies zero density (so there is no Universe) or an infinite amount of matter (which implies universe different from the observed).

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Dizhechko Boris Semyonovich wrote on Feb. 10, 2018 @ 11:37 GMT
Dear Christian Waldvogel, ancient Greek philosophers were right when asserted:«God is the Infinite Sphere whose Center is Everywhere and Circumference Nowhere.»

I would add that space is the body of God, which we do not see, but which works wonders. According to Descartes, space is matter, and matter is space that moves. Thus, space is the foundation for constructing fundamental theories. The space has information, which is then realized in the device of the world. Look at my essay, FQXi Fundamental in New Cartesian Physics by Dizhechko Boris Semyonovich Where is the assertion that through the surface of a closed sphere around every point in space is the stream of force equal to a constant value. If this consistency is broken to point moves so that consistency was restored.

Do not leave without attention New Cartesian Physics which wants to be the theory of everything OO.

Sincerely, Dizhechko Boris Semyonovich.

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James Lee Hoover wrote on Feb. 11, 2018 @ 17:17 GMT
Christian,

I feel every concept contributes to an understanding of “fundamental,” so I am reviewing my own sketchy evaluations to help my understanding and see if I have rated them. I find that I have not rated yours and am correcting that today. I feel that your essay lends an ancient wisdom to thinking on all realms of thought as I noted above.

Regards and good luck,

Jim Hoover

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Satyavarapu Naga Parameswara Gupta wrote on Feb. 14, 2018 @ 01:07 GMT
Dear Prof Christian Waldvogel

Wonderful OP words... "Around two-thousand years ago, a book with texts by some of the philosophers of Greek antiquity was compiled. It contained an aphorism stating that «God is the Infinite Sphere whose Center is Everywhere and Circumference Nowhere.» Over the course of the centuries, this image of of an impossible sphere was adapted to no longer describe...

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Steve Dufourny wrote on Feb. 16, 2018 @ 19:43 GMT
Hello :)

I like , of course they are the sphere :) do uou know my theory of spherisation with quantum and cosmological sphères Inside thisuniversal sphere in optyimisation of matter energy ? here is also my equation about matter and energy explaining quantum gravitation and DM E=m(b)c²+m(nb)l²

Best Regards and spherically yours from Belgium

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Steven Andresen wrote on Feb. 22, 2018 @ 06:38 GMT
Dear Christian

If you are looking for another essay to read and rate in the final days of the contest, will you consider mine please? I read all essays from those who comment on my page, and if I cant rate an essay highly, then I don’t rate them at all. Infact I haven’t issued a rating lower that ten. So you have nothing to lose by having me read your essay, and everything to...

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Peter Jackson wrote on Feb. 23, 2018 @ 19:47 GMT
Christian,

Shame you're not engaging in the process and answering posts. I find much value from reading others essays. There are many but I invariably manage to read comment & score all those who read mine and I know others do to.

Very best

Peter

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