Reflective processes theory
Hidden among the clouds, the sacred mountain( Machhapuchhre mountain) stands—out of reach, beyond ascent. A shadow of stone and time, partially revealed and partially dissolved in a veil of mystery.
This mountain, like a reflective thought, reveals part of itself while keeping another part in silence. Every wave of mist, every shift in light, unveils a new truth—but never completely.
Can this mountain truly be known, or can one only seek its image in the clouds? In the border between visibility and obscurity, secrets remain alive
Before dawn, the sky rests in the embrace of warm colors, while the blue-gray hills, wrapped in silence, fade one by one into the mist. Each layer is an echo of the one before it, an extension of what was and what will be—a hidden threshold between emergence and dissolution.
Within this landscape lies the secret of reflective processes; nothing truly vanishes, but instead returns in another form, in another place. Truth, like the light before sunrise, flows through the continuous layers of time and space. And we, standing amidst it all, are nothing but a reflection of that—presence and fading within the infinity of existence.
Just as light dissolves into the mist and is reborn, reflective processes in mathematics conceal truth within layers of change and transformation. What fades in one place takes on a new form elsewhere. In this image, like the equations of the universe, nothing truly disappears; it merely shifts its path, in an endless repetition, in an order perceived only by the keenest eyes.
This landscape echoes a profound truth: the world, as it is, is but a reflection of something beyond. What we see is a fleeting moment of a truth in motion, a chain of emergence and dissolution. And perhaps, in the midst of it all, we too—like that distant hill, shrouded in the mist of time—are mere observers and reflectors of a light that flows endlessly.
Before I knew about anomalous diffusion, I had already created this piece, inspired by the pareidolia emerging from random lines on crumpled paper. Later, I realized that my artwork also reflected the stochastic principles of anomalous diffusion. The process itself mirrors the stochastic nature of complex dynamics.
By crumpling the paper and tracing each crease with a pencil, the resulting patterns resemble irregular trajectories or a fractal-like network of particles in a stochastic system. These patterns reflect the irregularity of stochastic motion in disordered media, mathematically described through random walks such as the Lévy process or Fractional Brownian motion—both used to model anomalous diffusion.
In anomalous diffusion, particle movement deviates from classical diffusion (x² ~ t), instead following a power law:
(x²(t)) ~ t^α
where α > 1 indicates superdiffusion, α < 1 indicates subdiffusion.
Additionally, the colour distribution in this work reflects the probability distribution of particle positions in a stochastic system. The seemingly random colours arise from the underlying structure of the paper folds, much like how particle trajectories form based on system dynamics. This interplay of perception, randomness, and mathematical structure captures the essence of anomalous diffusion, revealing how disorder creates hidden patterns in complex physical systems.