Super God-Level Top Student
Chapter 929 - 352: The Lightning that Cleaves Through the Darkness

What should a genius look like?!

If this question were posed to anyone at the Xilin Institute of Mathematics other than Qiao Ze, they would likely point upward in unison.

This is especially true for the newly joined assistant researchers at the Mathematics Research Institute.

The first thing this group does upon entering the Mathematics Research Institute is surprisingly similar to the Qiao Class: learning.

As Dou Dou's recruitment notice stated, their work involves fundamental and applied research targeted at special algebraic systems like Qiao's Algebraic Geometry and its corresponding Qiao Space. While refining the academic discipline, they simultaneously aim to make it applicable to more fields.

For example: fundamental physics, aerospace, engineering construction, software design, and so on...

Much like Taylor's Theorem, it's not just mathematicians who need to study it.

In civil engineering, Taylor's Theorem can be used for structural analysis, particularly for evaluating a structure's response under different loads.

In electronics and mechanical engineering, designing control systems often utilizes Taylor's Theorem to approximate a system's dynamic behavior. For instance, when designing an airplane's autopilot system or any mechanism requiring precise dynamic responses, Taylor's Theorem helps engineers understand and predict how the system reacts under varied inputs.

Beyond that, fields like thermodynamics and fluid mechanics, electronic circuit analysis, mechanical engineering and dynamics, acoustics, and vibration analysis—as well as nearly all numerical simulations and optimizations needed in engineering—frequently involve the use of Taylor's Theorem.

Likewise, since Qiao's Algebraic Geometry can replace Taylor's Theorem to provide more precise expansions, the series of theorems and formulas it contains naturally can play a significant role in these engineering applications, such as drastically reducing computational power for the same calculations.

Due to the inherent abstraction and complexity of Qiao's Algebraic Geometry, it's difficult for most people to understand, but it can be directly implemented into software and used in computers. The new researchers will mainly focus on these tasks in the future.

Those with a talent for theoretical research can pursue pure mathematics to further expand the entire Qiao's Algebraic Geometry system. For those whose talent isn't as outstanding, they can focus on applied research. Of course, Qiao Ze could accomplish all this himself, but it would take a very long time.

If it were any other mathematician, completing the supplementation of Qiao's Algebraic Geometry in a lifetime would already be a source of great pride. But clearly, Qiao Ze is not like that.

The reason is simple: after extensive contemplation, he has already determined that Qiao's Algebraic Geometry is insufficient to solve the Grand Unified Theory.

While Qiao's Algebraic Geometry possesses multi-dimensional data structures, making it superior to all existing mathematical tools in addressing the Grand Unified Theory by handling the behavior of the four fundamental forces across different scales and energy levels,

Qiao Ze even predicted the existence of the containment graviton through theorems in Qiao's Algebraic Geometry, which has already been proven.

However, Qiao's Algebraic Geometry remains inadequate in describing many problems on the microscopic level, particularly those phenomena exceeding the Standard Model in dealing with nonlinear dynamical systems.

For instance, Qiao Ze encountered difficulties using this tool to handle the non-locality in Superstring Theory, which proposes that strings are not zero-dimensional points but rather one-dimensional objects with finite length. This leads to physical phenomena at the microscopic scale exhibiting non-locality, which Qiao's Algebraic Geometry tools cannot precisely address.

Additionally, based on the data Dou Dou obtained, CERN's high-energy particle collision experiments revealed nonlinear dynamical behaviors of particles under extreme conditions. These behaviors are challenging to fully describe within the framework of Qiao's Algebraic Geometry, especially when considering the creation of new particles and unknown interactions.

Fortunately, Su's wedding dress fitting provided Qiao Ze with inspiration: superposition and interaction.

Superposition is actually easy to understand, as the principle of superposition is one of the core features of quantum mechanics. Schrödinger's cat in the closed box exists in a superposition state—multiple possible states—before the box is opened.

Translated into mathematics, this is a new structure. The goal of this result is to simultaneously resolve solutions from multiple different theories and explore their superposition effects.

As for interaction, Qiao Ze defines it mathematically as "interweaving."

Its definition establishes a profound form of connection and interaction between different mathematical models, theories, or systems of equations. This allows the attributes and behaviors of distinct models to interact, transform, and merge within a unified framework.

This interaction includes not only operational-level interactions in mathematics, such as the union or transformation of equations but also theoretical-level interactions—how to describe and understand the fundamental structure and interactions of the physical world through a brand-new mathematical language.

Compared to Qiao's Algebraic Geometry, the greatest feature of these two new tools might be their enhanced complexity and abstraction.

Purely in terms of abstraction and complexity, if Qiao Ze's mathematical intertwining principle becomes part of the future mandatory university curriculum, concepts like the interaction between objects and morphisms in category theory or the continuous mapping of elements across different topological spaces might have to be taught at the junior high level.

As for Qiao's Algebraic Geometry, at best, it's equivalent to high school mathematics knowledge.

Yes, all foundational.

Such is the imagination of a genius.

At the very least, Qiao Ze has paved the way from simplicity to sophistication.

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