From Cosmic Substance to Topological Perception

 

From Cosmic Substance to Topological Perception

The Functional Role of 2D Flow Geometry and the Transition Toward a 3D Water-Like Form

Any attempt to revise sensing, geometry, or measurement must begin not at the level of devices, but at the level of cosmic structure and ecosystem dynamics. The universe accessible to human observation — the universe of visible matter — is overwhelmingly composed of a small number of fast, light elements. By mass, approximately 74% of visible matter is hydrogen, 24% is helium, while all heavier elements combined account for roughly 2%. Oxygen and nitrogen, though critically important for planetary ecosystems and life, constitute only a fraction of a percent of cosmic matter.

Despite their scarcity, these elements become decisive once flows of matter enter structured environments such as stars, planets, atmospheres, and biospheres.

The Concept of the “Firmament” as a Dynamic Grid

At early stages of cosmic evolution, matter did not exist as isolated objects but as flows moving relative to a formative grid, historically conceptualized as the “celestial firmament”. This firmament should not be understood as a rigid surface, but as a structuring reference field — a condition that allows motion, interaction, and differentiation to become meaningful.

As atoms of hydrogen, helium, oxygen, and nitrogen move relative to such a grid, molecules emerge not as static entities, but as stabilized flow configurations. Further compounds arise depending on temperature, pressure, density gradients, and the mutual interaction of multiple flows. Matter, in this view, is not primary; organization of movement is.

Mental Absolutization and the Limits of Classical Metrics

A central thesis of flow theory is that modern science has adopted a form of mental absolutization of material states. Dense matter is treated as absolute solidity with mass, while less dense matter is treated as conditional vacuum or empty space. This abstraction has proven extraordinarily useful, but it conceals a deeper reality: in most physical situations, multiple substances with different densities coexist and interact as overlapping flows.

Classical arithmetic and Euclidean geometry emerged as convenient mental tools for describing stable, slow, and well-separated objects. However, when applied to:

• high-velocity flows,

• nano-scale interactions,

• macro-scale collective phenomena,

• or environments where boundaries are dynamic rather than fixed,

these tools begin to lose explanatory power. Metrics that function locally cease to be reliable globally. Geometry becomes descriptive rather than predictive.

The Purpose of the 2D Geometric Experiment

The two-dimensional (2D) stage of the geometric experiment serves a precise and necessary function. It is not an approximation of reality, but a controlled environment in which reliable relationships can be isolated and tested.

In 2D, it becomes possible to construct a “reliable space” based on optimal chord-length relations rather than absolute distances. These chord relations remain stable across scale transformations and allow the identification of topological invariants that survive changes in density, speed, and configuration.

The open problem at this stage is the identification of a single optimal 2D form — one that is technologically convenient, reproducible, and capable of fractal extension. This form must support:

• scalable replication,

• stable boundary behavior,

• and predictable flow interaction.

The 2D experiment is therefore not incomplete by accident; it is deliberately constrained to preserve reliability while the foundational geometry is refined.

Intuitive Transition to 3D and the Water Molecule Analogy

The transition to three dimensions is conceptually clear but technologically challenging. Intuitively, the optimal 3D structure resembles the logic of a water molecule: not in chemical composition, but in relational geometry.

The water molecule embodies:

• angular stability rather than linear symmetry,

• directional bonding rather than isotropic extension,

• and a balance between rigidity and adaptability.

As a geometric archetype, it represents a minimal 3D configuration capable of sustaining complex flows, memory effects, and environmental responsiveness. While the tools for fully realizing such a 3D topological structure are not yet available, partial embodiments are already possible.

Practical Outcomes: Screens, Panels, and Flow-Gated Surfaces

Even within the 2D framework, it is now feasible to create softer, non-linear surfaces for light reception and emission. These surfaces depart from rigid pixel grids and instead function as flow-sensitive fields, where reception and glow are governed by topology rather than discrete switching.

Such panels demonstrate a more trustworthy data-gateway system, in which information transfer is aligned with physical processes rather than abstract symbol manipulation. Light, energy, and structural change are treated as flows that pass through a controlled topological interface, reducing distortion and increasing contextual coherence.

Toward a Revision of Geometry and Arithmetic

The broader ambition of flow theory, the chordal geometric space of Ishchenko, the astral lines of Komissarenko–Yermolaieva, the Tetractys, Gembets, and related geometric experiments is not to discard existing mathematics, but to subject it to revision.

The criterion of this revision is simple:
Can a given metric or geometric framework reliably explain real processes in our ecosystem and in the cosmos?

Where classical tools succeed, they remain valid. Where they fail — particularly in the presence of interacting flows across scales — new topological and configurational approaches become necessary.

In this sense, the study of topological sensors and flow geometry is not a speculative departure, but a return to physical credibility, grounded in how matter, energy, and information actually move and organize themselves in the universe.