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2025
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| Online-Zugang: | https://doi.org/10.5281/zenodo.17917543 |
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| _version_ | 1866901527803723776 |
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| author | De Jesus, Elias |
| author_facet | De Jesus, Elias |
| contents | <p>This work presents empirical evidence for a universal geometric coherence pattern appearing across physical systems spanning more than fifteen orders of magnitude in energy scale. Within the Relational Thermodynamic Layered Index (RTLI) framework, we identify a closed three-angle cycle—θc ≈ 20.2°, 90° − θc ≈ 69.8°, and 2θc ≈ 40.4°—that governs dominant variance directions in quantum, thermodynamic, galactic, and cosmological datasets.</p> <p>Using principal component analysis applied to six independent public datasets, we show that observed variance orientations consistently align with one of the predicted RTLI coherence angles, with a combined probability of ≲10⁻³ under random alignment. The long-standing cosmic microwave background low-ℓ anomaly corridor coincides precisely with the interval [θc, 2θc], while non-cosmic systems exhibit stable hardness ratios clustering near 1/√e. In representative cases, a four-sphere variance constraint is preserved to numerical precision, indicating an underlying symplectic structure.</p> <p>The results support a cyclic, rather than monotonic, recursion across physical scales. Coherence does not propagate indefinitely toward higher-order structures but instead traces a closed loop consistent with toroidal topology, wherein each scale selects a complementary angle from the same geometric basis. These findings suggest that invariant geometric constraints on variance flow may serve as a scale-independent organizing principle underlying diverse physical phenomena.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17917543 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Evidence for a Universal Three-Angle Recursion from Quantum to Cosmic Scales De Jesus, Elias Relational Thermodynamic Layered Index (RTLI); geometric coherence; variance flow; coherence angle; cyclic recursion; toroidal topology; right-triangle geometry; scale invariance; principal component analysis; cosmic microwave background anomalies; galaxy dynamics; quantum coherence; information geometry; gravitational impedance <p>This work presents empirical evidence for a universal geometric coherence pattern appearing across physical systems spanning more than fifteen orders of magnitude in energy scale. Within the Relational Thermodynamic Layered Index (RTLI) framework, we identify a closed three-angle cycle—θc ≈ 20.2°, 90° − θc ≈ 69.8°, and 2θc ≈ 40.4°—that governs dominant variance directions in quantum, thermodynamic, galactic, and cosmological datasets.</p> <p>Using principal component analysis applied to six independent public datasets, we show that observed variance orientations consistently align with one of the predicted RTLI coherence angles, with a combined probability of ≲10⁻³ under random alignment. The long-standing cosmic microwave background low-ℓ anomaly corridor coincides precisely with the interval [θc, 2θc], while non-cosmic systems exhibit stable hardness ratios clustering near 1/√e. In representative cases, a four-sphere variance constraint is preserved to numerical precision, indicating an underlying symplectic structure.</p> <p>The results support a cyclic, rather than monotonic, recursion across physical scales. Coherence does not propagate indefinitely toward higher-order structures but instead traces a closed loop consistent with toroidal topology, wherein each scale selects a complementary angle from the same geometric basis. These findings suggest that invariant geometric constraints on variance flow may serve as a scale-independent organizing principle underlying diverse physical phenomena.</p> |
| title | Evidence for a Universal Three-Angle Recursion from Quantum to Cosmic Scales |
| topic | Relational Thermodynamic Layered Index (RTLI); geometric coherence; variance flow; coherence angle; cyclic recursion; toroidal topology; right-triangle geometry; scale invariance; principal component analysis; cosmic microwave background anomalies; galaxy dynamics; quantum coherence; information geometry; gravitational impedance |
| url | https://doi.org/10.5281/zenodo.17917543 |