The Geometry of Silence: Mapping Mathematics, AI, and Ambient Music

In my work at the intersection of artificial intelligence, machine learning, and computer vision, I explore complex mathematical structures such as high-dimensional manifolds and optimization landscapes.
However, when I step into music production, those same principles take a different form.
I translate them into ambient music and sound design, where mathematics becomes sound and emotion.

Through my project Ek’ Balam, I combine music production, deep learning, and visual storytelling.
As a result, I explore how data, sound, and human perception connect.

1. Applied Geometry in Music: The Architecture of Sound Design

To a mathematician, a soundscape is more than a collection of notes—it is a structured system.

Vector Spaces in Reverb and Delay

In ambient music production, reverb and delay can be understood as transformations within a vector space, where each sound evolves over time through controlled spatial effects.

Manifold Learning and Emotional Soundscapes

Just as machine learning models learn the structure of data, ambient music maps a listener’s emotional journey across a continuous space of textures, frequencies, and dynamics.

2. Deep Learning and Generative Ambient Music

My background in deep learning and neural networks directly influences how I approach music composition and sound design.

Optimization and the “Loss Function” of Emotion

In machine learning, we minimize a loss function to improve model performance. In music production, I search for the optimal sonic state—the point where sound, emotion, and texture align into a cohesive experience.

Generative Music and Stochastic Processes

Inspired by generative AI and large language models (LLMs), my ambient compositions use feedback loops and stochastic processes to create evolving, non-repetitive soundscapes. Each piece becomes a dynamic system rather than a fixed composition.

3. Photography, Computer Vision, and Cinematic Music

To document and extend this work, I integrate photography and visual computing using the Sony FX3.

Visualizing Sound Through Cinematic Techniques

Using a 35mm lens, I capture a perspective close to human vision, bridging the gap between complex AI systems and real-world creative expression.

Depth of Field and Visual Abstraction

A shallow depth of field (f/1.4) emphasizes physical interaction with instruments and equipment while transforming the background into abstract visual patterns—mirroring the hidden layers of neural networks and mathematical structures.

Music, Mathematics, and Artificial Intelligence

“Music is the pleasure the human mind experiences from counting without being aware that it is counting.” — Gottfried Wilhelm Leibniz

In Ek’ Balam, I merge music production, mathematics, machine learning, and photography into a unified creative process. Whether working on computer vision systems or composing ambient music, my goal remains the same:

to discover structure, meaning, and beauty within data and sound.