“Astral Lines and the New Geometry: Intuitively Precise Coordinates in a Curved Reality”

Title of the Paper:
“Astral Lines and the New Geometry: Intuitively Precise Coordinates in a Curved Reality”

Authors:
Vitaliy Komissarenko, Olga Yermolaeva, Marina Mysnichenko (theoretical foundation),
Synthesis and exposition – Vitaly Ishchenko.

---

Introduction

Modern science has reached the boundaries of its own precision. The classical system for describing reality — based on straight lines, Euclidean geometry, stable physical constants, and idealized arithmetic — no longer sufficiently reflects what is observed. In response to this crisis of accuracy, theoretical physicist Vitaliy Komissarenko proposed at the beginning of the 21st century an alternative concept: “astral lines” as a foundation for a new, intuitively precise geometry and coordinate system, suited for describing reality within a dynamic, multidimensional, and curved space.

---

1. The Nature of Astral Lines

Astral lines are not physical objects but intuitively perceived curves that reflect the actual trajectory of energy, matter, and information through space. Their key features are non-locality and the ability to dynamically adapt to evolving processes.

As Marina Mysnichenko, one of Komissarenko’s students, said:
“We don’t draw lines on a surface — we trace the paths along which the essence of events flows.”

These lines do not obey traditional coordinate systems; rather, they form autonomous fields, similar to gravitational or magnetic fields, but on the level of event interactions, not physical bodies.

---

2. The Problem of False Universality

Modern science relies on constants, which in practice turn out to be only approximate:

• $\pi \approx 3.14159...$ – never exact in closed-space systems

• $e \approx 2.718...$ – irrational and problematic in precision contexts

• $c = 299,792,458 \, m/s$ – fixed by definition but dependent on the measuring system

• $g \approx 9.81 \, m/s^2$ – varies across Earth's surface

• $\frac{1}{3} = 0.333...$ – infinitely repeating fraction

Building a view of reality from such “infinitely approximated” values results in distorted models of reality. In highly sensitive systems — such as high-frequency physics or AI algorithms — these inaccuracies accumulate faster than they can be corrected, leading to false representations of global structure.

---

3. A New Paradigm: Intuitively Precise Curves

Komissarenko and his students proposed shifting from global analytical modeling to local nodes of perception and computation — each one functioning as a kind of “eye of God”, capturing accurate data only within its own perceptual field. These data are not transmitted numerically, but instead through curves, defined by:

• Observation point (consciousness)

• Intensity of interactions (local fields)

• Local proportions (intuitively grasped relationships)

The system is constructed not through linear formulas, but through topology of living structures, resembling neural networks — but not discrete — rather fluid and dynamic.

---

4. Arithmetic on Curves and Intuitive Series

Instead of rigid numerical sequences (1, 2, 3, …), this approach assumes the existence of local number-curves, where each unit is shaped by internal measures of time, gravity, or medium density.

These series:

• Can bend or branch fractally

• Modify themselves based on local conditions

• Follow their own logic of intuitive precision

This opens a path toward a “quantum-intuitive mathematics”, where calculations are made not through numerical operations but via resonance and form alignment between perception lines.

---

5. Practical Consequences and a Hypothesis for Future Measurement Systems

If the interpretation of the world is based on localized, intuitive measurements rather than globally generalized models, then:

• Every “eye of the observer” (human, device, or AI node) can only provide accurate data within its own domain

• The global picture emerges from curved realities, not abstract numbers

• Errors in global models are resolved not by correcting equations, but through interweaving local truths

This means a shift from a mathematics of measurement to a geometry of form, where the most essential elements are: shape, rhythm, phase, and proportional resonance of lines.

---

Conclusion

Humanity may have reached a point where traditional mathematics is no longer sufficient as the language of reality. Vitaliy Komissarenko’s theory of “astral lines” is a bold attempt to create a new geometry, capable of embracing distortion, instability, and localized curvature of existence. It is not a geometry of dead matter — but one of living perception.