Triadic Field Ontology: Emergence of Matter, Relational Time, and Singularity-Free Quantum Geometry (Executive Essence)
Year: 2026
Type: article
Abstract: The Triadic Field Ontology Description This concise 1.5-page paper summarizes the physical and mathematical core of the Triadic Field Ontology and directly aligns the model's predictions on emergent matter, relational time, and entropy regulation with recent observational data. The Perspective: Boundaries as Nature's Protective Shields Wherever conventional physical models encounter extreme limits—at the origin of the universe (0 = 0) or inside black holes (K → ∞)—they often treat these thresholds as system errors where equations break down into infinity. The Triadic Field Ontology adopts a different perspective: when space, time, and matter are viewed as interconnected phases of a single, continuously tensioned quantum field Φ, these very boundaries reveal themselves as nature's mathematical protective shields. They guarantee that a stable, ordered, and experienceable world can emerge from timeless baseline tension in the first place. The Five Core Principles of Field Mechanics Primordial Vacuum Latency (0 ≠ 0)No motion can arise from rigid, structureless nothingness. The universe therefore rests on an elastic potential field Φ with permanent baseline tension (⟨0|Φ|0⟩ = Φ₀ ≠ 0, 90° latency ¼π). Soliton Locking & Mass (0 ≠ 1)Above a critical energy density ρ_c, phase boundary torsion prevents formless dissipation: free transversal waves lock into a 270° phase arrest (¾π) and condense into 3D standing soliton knots (π₃(S³) ≅ ℤ), dynamically generating rest mass (m = hν/c²) and charge q. Relational Internal Time (τ)While the global system rests timelessly in Wheeler-DeWitt geometry (Ĥ|Ψ⟩ = 0), matter knots bounded by Pauli repulsion establish stable local Quantum Reference Frames (QRF_bio). Through the Page-Wootters projection, measurable internal proper time τ unfolds. Sobolev Curvature Shield & Entropy Smoothing (B_Q)In W²'² Sobolev space, the natural curvature bound B_Q ~ ℓ_P⁻⁴ prevents infinite densities: inside black holes, geodesically complete, unitary Planck stars form (dI_total = 0), and the Big Bang singularity transitions via decentralized entropy self-regulation into a smooth Past-Complete Bounce (ρ_c ≈ 0.41 ρ_P). Gauge Totality Against Heat Death (π)Vacuum latency (¼π) and locked matter (¾π) always sum to closed Gauge Totality (π). This asymmetric 1:3 ratio in the energy-momentum tensor keeps the cosmos in permanent motion and protects it against thermal heat death. Empirical Consensus Audit & TouchstonesThe mathematical order of field mechanics finds its direct counterpart in the observational data of our cosmos. This paper directly aligns its theoretical derivations with recent precision measurements and establishes clear touchstones for upcoming experiments: Evolving Dark Energy (DESI 2024)Direct correspondence between measured dynamics ($w_0 > -1, w_a < 0$) and the elastic relaxation of the vacuum potential ($1:3$ phase space partition) Proton Mass Decomposition (Lattice QCD)Confirmation of soliton locking, showing that over 90% to 99% of visible baryon mass originates from locked gluon field energy and the trace anomaly. Early Galaxy Maturity (JWST $z > 10$) & Black Hole UnitarityNatural early structure formation via the smooth bounce and complete information preservation via Planck stars.Popperian Falsification Threshold ($r < 0.001$): Because the smooth bounce at the Sobolev curvature shield $B_Q$ dampens severe spacetime turbulence, the upper bound for primordial B-mode gravitational waves is strictly anchored at $r < 0.001$—directly testable by upcoming missions such as LiteBIRD and CMB-S4.
Author: Gündogan, Mergen
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221699159
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