Intelligence
Read more: N. Schwarzer, “A Few Words about Intelligence”, 2025, a SIO science paper, http://www.siomec.de, see https://www.siomec.com/pub/2025/b19
Caution: Time is Vindictive!
Read more: N. Schwarzer, “Why I’m Not Joking About Time”, 2025, a SIO science paper, http://www.siomec.de, see https://www.siomec.com/pub/2025/b18
🇩🇪 Übersetzung
Achtung: Die Zeit ist rachsüchtig!
Weiterlesen: N. Schwarzer, „Why I’m Not Joking About Time“, 2025, ein SIO-Wissenschaftspapier, http://www.siomec.de, siehe https://www.siomec.com/pub/2025/b18
The Theory of Everything on One Page!
See for yourself:
https://www.siomec.com/pub/2025/b17
Read more: N. Schwarzer, “Do We Have a Theory of Everything – One Pager”, 2025, a SIO science paper, http://www.siomec.de
🇩🇪 Übersetzung
Die Theorie von allem auf einer Seite!
Sehen Sie selbst:
https://www.siomec.com/pub/2025/b17
Weiterlesen: N. Schwarzer, „Do We Have a Theory of Everything – One Pager“, 2025, ein SIO-Wissenschaftspapier, http://www.siomec.de
Why you cannot read this text twice in the same way
Read more: N. Schwarzer, “Infinite Orthogonality - Why you cannot read this text twice in the same way”, 2025, a SIO science paper, http://www.siomec.de, see: https://www.siomec.com/pub/2025/b16
🇩🇪 Übersetzung
Warum man diesen Text nicht zweimal auf die gleiche Weise lesen kann
Weiterlesen: N. Schwarzer, „Unendliche Orthogonalität – Warum man diesen Text nicht zweimal auf die gleiche Weise lesen kann“, 2025, ein SIO-Wissenschaftspapier, http://www.siomec.de, siehe: https://www.siomec.com/pub/2025/b16
How Black Holes Could Help Us Understanding the Fine Structure Constant 1/137…
In the figure below you can see two photons encircling a black hole. Now the wavelength of one photon (green) is a little bit shorter than the circumference of the black hole so that it always stays inside when performing its circles behind the event horizon.
The other photon’s wavelength (orange) is exactly the circumference of the black hole and consequently it does not always stay inside when doing its voyage. We assume that this second option should be ruled out when doing the Bekenstein-Hawking thought experiment.
Read more: N. Schwarzer, “Solving the 1/137-Riddle?”, 2025, a SIO publication, http://www.siomec.de
🇩🇪 Übersetzung
Wie Schwarze Löcher uns helfen könnten, die Feinstrukturkonstante 1/137 zu verstehen…
In der Abbildung unten sehen Sie zwei Photonen, die ein Schwarzes Loch umkreisen. Nun ist die Wellenlänge eines Photons (grün) etwas kürzer als der Umfang des Schwarzen Lochs, sodass es bei seinen Kreisen hinter dem Ereignishorizont immer im Inneren bleibt.
Die Wellenlänge des anderen Photons (orange) entspricht genau dem Umfang des Schwarzen Lochs und daher bleibt es auf seiner Reise nicht immer im Inneren. Wir gehen davon aus, dass diese zweite Option bei der Durchführung des Bekenstein-Hawking-Gedankenexperiments ausgeschlossen werden sollte.
Weiterlesen: N. Schwarzer, „Solving the 1/137-Riddle?“, 2025, eine SIO-Publikation, http://www.siomec.de
Bit by bit
Could it be that Bekenstein and Hawking had missed this?
...
The figure shows 4 Photons with a wavelength equal to the circumference of the event horizon encircling a black hole. Its oscillations (after all the photons are waves) bring them partially outside the black hole, which should not happen if we consider the photons being swallowed. In order to avoid this, the photons need to be slightly smaller.
Read more: N. Schwarzer, “Solving the 1/137-Riddle?”, 2025, a SIO publication, http://www.siomec.de
🇩🇪 Übersetzung
Stück für Stück
Könnte es sein, dass Bekenstein und Hawking dies übersehen hatten?
...
Die Abbildung zeigt 4 Photonen mit einer Wellenlänge, die dem Umfang des Ereignishorizonts entspricht, der ein Schwarzes Loch umgibt. Seine Schwingungen (schließlich sind die Photonen Wellen) bringen sie teilweise aus dem Schwarzen Loch heraus, was nicht passieren sollte, wenn wir davon ausgehen, dass die Photonen verschluckt werden. Um dies zu vermeiden, müssen die Photonen etwas kleiner sein.
Weiterlesen: N. Schwarzer, „Solving the 1/137-Riddle?“, 2025, eine SIO-Publikation, http://www.siomec.de
1/137… The Connector Between Two Worlds
We derived the fine structure constant [A1] from the Bekenstein-Hawking thought experiment [A1 – A4], by applying an extremal principle with respect to the number of dimensions [A5].
[A1] https://en.wikipedia.org/wiki/Fine-structure_constant
[A2] N. Schwarzer, "The World Formula: A Late Recognition of David Hilbert ‘s Stroke of Genius", Jenny Stanford Publishing, ISBN: 9789814877206, pp. 170
[A3] J. D. Bekenstein, “Black holes and entropy”, Phys. Rev. D 7:2333-2346 (1973)
[A4] J. D. Bekenstein, “Information in the Holographic Universe”, Scientific American, Volume 289, Number 2, August 2003, p. 61
[A5] N. Schwarzer, “The Funny Connection between the Pauli Extremal Principle and the Stupidity of Man”, 2025, a SIO publication, http://www.siomec.de
Read more: N. Schwarzer, “Solving the 1/137-Riddle?”, 2025, a SIO publication, http://www.siomec.de
🇩🇪 Übersetzung
1/137… Die Verbindung zwischen zwei Welten
Wir haben die Feinstrukturkonstante [A1] aus dem Bekenstein-Hawking-Gedankenexperiment [A1 – A4] abgeleitet, indem wir ein Extremalprinzip in Bezug auf die Anzahl der Dimensionen angewendet haben [A5].
[A1] https://en.wikipedia.org/wiki/Fine-structure_constant
[A2] N. Schwarzer, „The World Formula: A Late Recognition of David Hilbert’s Stroke of Genius“, Jenny Stanford Publishing, ISBN: 9789814877206, S. 170
[A3] J. D. Bekenstein, „Schwarze Löcher und Entropie“, Phys. Rev. D 7:2333-2346 (1973)
[A4] J. D. Bekenstein, „Information in the Holographic Universe“, Scientific American, Band 289, Nummer 2, August 2003, S. 61
[A5] N. Schwarzer, „The Funny Connection between the Pauli Extremal Principle and the Stupidity of Man“, 2025, eine SIO-Publikation, http://www.siomec.de
Weiterlesen: N. Schwarzer, „Solving the 1/137-Riddle?“, 2025, eine SIO-Publikation, http://www.siomec.de
The Harmonic Sphere – Hard-Shelled Fermions? II
Observing the solution Y[v] below closely, we find that there exist singularity-free spin l=n/2-solutuions for m=-n/2 with n=1,3,5,7… in the case of CPv≠0, CQv=0 and for m=+n/2 in the case of CPv=0, CQv≠0. The graph in the figure below illustrates the corresponding distribution within the domain of definition for the angle v from 0 to π.
🇩🇪 Übersetzung
Die harmonische Sphäre – hartschalige Fermionen? II
Wenn wir die Lösung Y[v] unten genau betrachten, stellen wir fest, dass es singularitätsfreie Spin-l=n/2-Lösungen für m=-n/2 mit n=1,3,5,7… im Fall von CPv≠0, CQv=0 und für m=+n/2 im Fall von CPv=0, CQv≠0 gibt. Die Grafik in der folgenden Abbildung veranschaulicht die entsprechende Verteilung innerhalb des Definitionsbereichs für den Winkel v von 0 bis π.
The Harmonic Sphere – Hard-Shelled Fermions? I
Observing closely the solution Y[v] above the graph in the picture below, we find that there exist singularity-free spin l=n/2-solutuions for m=-n/2 with n=1,3,5,7… in the case of CPv≠0, CQv=0 and for m=+n/2 in the case of CPv=0, CQv≠0.
The Figure below illustrates the corresponding distribution within the domain of definition for the angle v from 0 to π.
Read more: N. Schwarzer, “The Harmonic Sphere”, 2025, a SIO publication, http://www.siomec.de
🇩🇪 Übersetzung
Die harmonische Sphäre – hartschalige Fermionen? Ich
Wenn wir die Lösung Y[v] über dem Diagramm im Bild unten genau betrachten, stellen wir fest, dass es singularitätsfreie Spin-l=n/2-Lösungen für m=-n/2 mit n=1,3,5,7… im Fall von CPv≠0, CQv=0 und für m=+n/2 im Fall von CPv=0, CQv≠0 gibt.
Die folgende Abbildung veranschaulicht die entsprechende Verteilung innerhalb des Definitionsbereichs für den Winkel v von 0 bis π.
Weiterlesen: N. Schwarzer, „The Harmonic Sphere“, 2025, eine SIO-Publikation, http://www.siomec.de
The Harmonic Sphere – Does it Code Particles?
When investigating the radial distribution of the wave function for the “harmonic quantum gravity sphere” we see that – in contrast to the Schrödinger hydrogen solutions – our harmonic radial potential produces a very rigid behavior regarding the demarcation of the object at a certain distance from the center. All the usual “outside oscillation”, as we know it from the 1/r-potential, has disappeared. One might see these solutions therefore as particles… especially as they sport half spins, an aspect, which we will consider in the next post.
N. Schwarzer, “The Harmonic Sphere”, 2025, a SIO publication, http://www.siomec.de
🇩🇪 Übersetzung
Die harmonische Sphäre – Codiert sie Teilchen?
Bei der Untersuchung der radialen Verteilung der Wellenfunktion für die „harmonische Quantengravitationssphäre“ sehen wir, dass unser harmonisches Radialpotential – im Gegensatz zu den Schrödinger-Wasserstofflösungen – ein sehr starres Verhalten hinsichtlich der Abgrenzung des Objekts in einem bestimmten Abstand vom Zentrum erzeugt. Alle üblichen „Außenschwingungen“, wie wir sie vom 1/r-Potential kennen, sind verschwunden. Man könnte diese Lösungen daher als Teilchen betrachten … insbesondere, da sie halbe Drehungen aufweisen, ein Aspekt, den wir im nächsten Beitrag betrachten werden.
N. Schwarzer, „The Harmonic Sphere“, 2025, eine SIO-Publikation, http://www.siomec.de
The Harmonic Sphere
Why do we obtain half-spin objects when inserting a harmonic potential into the scalarized spherical quantum gravity equation?
N. Schwarzer, “The Harmonic Sphere”, 2025, a SIO publication, http://www.siomec.de
🇩🇪 Übersetzung
Das Harmonische Sphäre
Warum erhalten wir Halbspin-Objekte beim Einfügen eines harmonischen Potentials in die skalarisierte sphärische Quantengravitationsgleichung?
N. Schwarzer, „The Harmonic Sphere“, 2025, SIO-Veröffentlichung, http://www.siomec.de
The Cellular Structure of the Universe? – The Wonders Within
N. Schwarzer: “Strings, Branes, Friedmanns and the Matryoshka Universe”, Part 7d of “Medical Socio-Economic Quantum Gravity”, Self-published, Amazon Digital Services, 2022, Kindle, ASIN: B09V37VXMB
N. Schwarzer, Fluid Universe: The Way of Structured Water and its Mathematical Foundations, Jenny Stanford Publishing Pte. Ltd., 2026, ISBN 9789815352153.
N. Schwarzer, “Supra Fluid Universe – The Way of Coherent Domains: Solving a few Problems”, a SIO science book, 2026, http://www.siomec.de, to be published
🇩🇪 Übersetzung
Die zelluläre Struktur des Universums? – Die Wunder innerhalb
N. Schwarzer: „Strings, Branes, Friedmanns and the Matryoshka Universe“, Teil 7d von „Medical Socio-Economic Quantum Gravity“, Selbstveröffentlicht, Amazon Digital Services, 2022, Kindle, ASIN: B09V37VXMB
N. Schwarzer, Fluid Universe: The Way of Structured Water and its Mathematical Foundations, Jenny Stanford Publishing Pte. Ltd., 2026, ISBN 9789815352153.
N. Schwarzer, “Supra Fluid Universe – The Way of Coherent Domains: Solving a few Problems”, ein SIO-Wissenschaftsbuch, 2026, http://www.siomec.de, veröffentlicht werden
The Cellular Structure of the Universe? – The Beauty Outside
N. Schwarzer, Fluid Universe: The Way of Structured Water and its Mathematical Foundations, Jenny Stanford Publishing Pte. Ltd., 2026, ISBN 9789815352153.
Structured Water for MAHA?
Alzheimer’s / Arteriosclerosis / Cleaning Agents not destroying the Environment / Anti-Vaxx-Treatment / Quantum Onco-Therapeutics / …
N. Schwarzer, Fluid Universe: The Way of Structured Water and its Mathematical Foundations, Jenny Stanford Publishing Pte. Ltd., 2026, ISBN 9789815352153.
Everett’s Code and God’s Language
Talk by Julius and Norbert Schwarzer, presented at SIPS 2024 on Crete. See also: N. Schwarzer, “God’s Programming Language - The Quantum Gravity Code for Everything”, self-published, Amazon Digital Services, 2023, Kindle, ASIN: B0CK2T9K83
Love Fields II
“Love Fields - towards a mathematical psychology” (https://youtu.be/TdJuOsfXR2s)
Love Fields I
“Love Fields - towards a mathematical psychology” (https://youtu.be/TdJuOsfXR2s)
Is Artificial Intelligence Better than Natural Stupidity
N. Schwarzer, “Mathematical Psychology – The World of Thoughts as a Quantum Space-Time with a Gravitational Core”, 2024, Jenny Stanford Publishing, ISBN: 9789815129274
What are Coherent Domains? – Part III
In order to describe them, you need more than classical chemistry.
W. Wismann, N. Schwarzer, “A Higher Order Chemistry”, interested: ask for a copy
What are Coherent Domains? – Part II
They are quantum structures in all sorts of “non-solid” matter.
N. Schwarzer, “Fluid Universe – The Way of Structured Water; Mathematical Foundation” , 2025, a Jenny Stanford Pub. mathematical foundations book-project
What are Coherent Domains? – Part I
They are everywhere.
N. Schwarzer, “Fluid Universe – The Way of Structured Water; Mathematical Foundation” , 2026, a Jenny Stanford Pub. mathematical foundations book-project
Why Does Quantum Gravity Give Answers to AI-Questions?
In our post “A Few Words about Intelligence” we worked out a metric concept for the evolution of intelligence and concluded that it must require quantum gravity to truly unleash the emergent cognitive potential of space-time. Consequently, AI development sooner or later has to hit the wall of classical gravity or classical quantum theory as it requires the two fields combine to succeed.
N. Schwarzer, “How Quantum Gravity Can Answer a Fundamental Question about the Limit of Artificial Intelligence”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part IX
The so-called collapse of the wave-function during the measurement process is the entanglement of the system to be measured with the system of the measuring/observing environment/universe, whereby the two systems effectively become one. The observable, de facto, is then always the one of the combined system(s) and not of the one apparently being observed.
… and there is more, of course.
N. Schwarzer, “The Quantum Gravity Expectation Value”, interested: ask for a copy
N. Schwarzer, “High Expectations – A Bit of Quantum Gravity Statistics”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part VIII
The variation Einstein-Hilbert action gives the equilibrium state for the curvature mirrored in the action’s kernel in dependency on the metric structure of the space-time.
N. Schwarzer, “The Quantum Gravity Expectation Value”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part VII
The non-variated Einstein-Hilbert action is just the expectation value for the Ricci scalar curvature of that same space-time in which the Einstein-Hilbert action is formulated.
N. Schwarzer, “The Quantum Gravity Expectation Value”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part VI
The expectation value E[A] of any attribute A in a given space-time metric is just the volume integral for this metric with the attribute in question as perturbation within the kernel.
N. Schwarzer, “The Quantum Gravity Expectation Value”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part V
What classically is the wave function is quantum-like jitter of the volume for any given metric.
N. Schwarzer, “The Quantum Gravity Expectation Value”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part IV
Quantum Gravity Statistics – Consequences – Part III
The fact that Quantum Gravity Statistics NEARLY gives the classical statistics in systems with huge numbers of dimensions should not fool those who know how important small numerical errors can propagate and increase in iterative tasks. In case of statistics we are not talking about a numerical error, but a systematic system-immanent one. Hence, one better knows about its influence… especially when dealing with many repetitive evaluations and processes like the training of AI systems.
N. Schwarzer, “High Expectations – A Bit of Quantum Gravity Statistics”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part II
The number of true dimensions of the “world” in which the classical quantum theory can exist is quite huge, which guarantees an almost classical outcome in our results for our Quantum Gravity Statistical Equations, because it makes the classical and quantum gravity expectation values to be nearly the same.
N. Schwarzer, “High Expectations – A Bit of Quantum Gravity Statistics”, interested: ask for a copy
Quantum Gravity Statistics – Consequences – Part I
The finding is of great importance for all sorts of applications where the evaluation of statistical quantities is required… hence, almost everywhere.
Read more:
N. Schwarzer, “The Quantum Gravity Expectation Value”, interested: ask for a copy
N. Schwarzer, “High Expectations – A Bit of Quantum Gravity Statistics”, interested: ask for a copy