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Does a universal, stable geometric trajectory emerge endogenously within statistical manifolds driven by the minimization principle of information action?
I am thrilled to share my latest research poster, formatted as a short-term theoretical note. Focusing on information geometry (Fisher metric & Bures metric), this work explores the variational problems of "Information Action," defined as the c
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A new theory that extends information geometry to uncover unknown structures hidden within information space.
My research, "Information Resolution Sphere (IRS) Theory," mathematically models the process by which geometric structures naturally emerge from the principles of information optimization.
We have already entered the verification phase (Stage 3B) using real data, and the data clearly shows
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I analyzed prime gaps using multifractal methods in my research, and found that on a logarithmic scale, they show regular mountain-and-basin-like structures at specific scales—particularly around s≈8.22, 10.0, and 11.4. It seems to connect to a finite-scale version of the Hardy-Littlewood conjecture. It's an interesting intersection between number theory and physics!
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Does a universal, stable geometric trajectory emerge endogenously within statistical manifolds driven by the minimization principle of information action?
I am thrilled to share my latest research poster, formatted as a short-term theoretical note. Focusing on information geome…
A geometric analyst following Ricci flow may overlay the shadow of information-action minimization onto Perelman’s entropy.
If we widen our view further, optimal transport theory becomes a tool for describing the very “flow” of information…
**The Order Woven by Information Optimization — IRS Geometry as a Mirror**
Why is the universe we live in so remarkably beautiful and orderly?
The arrangement of the stars, the forms of life, and even the sequence of prime numbers all se…
I have uploaded my paper on **IRS Geometry (Information Resolution Sphere Geometry)** to Zenodo.
This research explores normalized prime-gap distributions through the framework of Fisher information geometry, focusing on the relationship b…
IRS (Information Resolution Sphere)
Geometry (Information Resolution Spherical Geometry)
is a geometric theory that serves as a framework for considering the question, "Why can this world exist in such beauty and harmony?"
A new theory that extends information geometry to uncover unknown structures hidden within information space.
My research, "Information Resolution Sphere (IRS) Theory," mathematically models the process by which geometric structures natura…
I am conducting research that extends information geometry to connect physics and number theory.
It started with a simple question: how can we mathematically describe the "state where information is transmitted most efficiently"? From ther…
Prime numbers can be depicted as a wave-like shape that decays at approximately 1.78.
While working on this research, I found something really interesting — it reminds me a lot of Mount Sumeru (Shumisen) from Indian mythology.
That beautiful hierarchical structure with a massive central mountain surrounded by nine concentri…
I analyzed prime gaps using multifractal methods in my research, and found that on a logarithmic scale, they show regular mountain-and-basin-like structures at specific scales—particularly around s≈8.22, 10.0, and 11.4. It seems to connect…
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