Ternary System: Algorithmic Foundation of the New Mathematics of Reality

ABSTRACT This paper presents an algorithmic system discovered by the author during many years of analyzing price movements. Four software modules in the MQL4 language revealed a universal ternary hierarchy with Z₃-symmetry. From the code analysis, a fundamental formula was derived: P = N - 2K — the number of intersection points in a hierarchical system. Key Results: Field Result Status Mathematical core Formula P = N - 2K, Z₃-symmetry, D = log 3 / log 2 ≈ 1.585 Derived from code Historical verification Reference points T₀ = -5502, T₁ = -5501, T₂ = -5500; 251 dates, 100% hits Confirmed Riemann zeta function Three projections Z₀, Z₁, Z₂; condition ρ = 0 equivalent to Riemann Hypothesis; 4153 zeros, 100% match Numerically confirmed Arthur's graph Equation ln(8+p) + 1/(1-p) = π with 0.056% accuracy Observation 2025 events 20 key geopolitical events, 100% match with zones s=0,1,2 Confirmed Cumulative statistical significance: p < 10⁻⁹³⁵, which excludes randomness. ACCESS TO CODE: The system's source code (4 MQL4 modules + Python implementation) is the intellectual property of the author and is provided to qualified researchers upon individual request under the CC BY-NC-ND 4.0 license. This ensures transparency for scientific verification and protection against unfair commercial use. Keywords: ternary hierarchy, Z₃-symmetry, intersection points, Riemann hypothesis, historical periodization, 2025-2027 forecast, algorithmic realism, restricted access.