Pareto Decomposition

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Published December 25, 2025 | Version v1
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The Other Seesaw: A Parable of the Second Complementarity

Authors/Creators

Description

A pedagogical parable illustrating the second complementarity relation for gravitational decoherence. Two children on a seesaw discover their pivot height has shifted evidence their seesaw rests on a master seesaw, with another seesaw at its far end. Their seesaw’s tilt (left-right) is perpendicular to the master’s tilt (up-down); balance reveals the master structure. The master angle θC = arctan(μC/S) encodes the ratio of hidden to known contributions. When hidden equals known, both the seesaw balance angle and the master tilt equal 45—a double-45 structure reflecting equal partition on orthogonal axes.

Abstract (English)

Popular Summary. Two children on a seesaw notice something strange. They’re perfectly balanced—left equals right—but their centre is at the wrong height. They step back and discover the truth: their seesaw rests on a bigger seesaw, and at the far end sits another seesaw with other children. When both seesaws are balanced, they can measure the master’s tilt. That tilt tells them how heavy the other seesaw is. If the other seesaw weighs the same as theirs, the master tilts exactly 45 degrees. They were never alone. They just couldn’t see the others until they stopped tilting.

Technical info (English)


## Classification

**Author Keywords (10):** gravitational decoherence, second complementarity, pitch angle, hidden channels, perpendicular axes, double-45° structure, completeness diagnostic, Caprazli conjecture, quantum foundations, science communication

**Subject Terms (10):** Quantum Mechanics, Decoherence, Gravity, Physics Education, Open Quantum Systems, Geometric Physics, Hierarchical Systems, Collapse Models, Foundations of Physics, Popular Science

**EuroSciVoc:**
- Natural Sciences > Physical Sciences > Quantum Physics
- Natural Sciences > Physical Sciences > Gravitation
- Natural Sciences > Physical Sciences > Geometry and Topology
- Social Sciences > Educational Sciences > Science Education

**LCSH:** Quantum decoherence; Gravitational effects; Quantum theory—Philosophy; Physics—Study and teaching; Geometry, Differential

**PACS:** 03.65.Yz, 03.65.Ta, 04.60.-m, 01.40.-d, 02.40.-k

**MSC:** 81P15, 81S22, 81V17, 00A35, 53Z05

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## CIP-Proposed

| Field | Value |
|-------|-------|
| LCC | QC174.17.D43 (Quantum theory—Decoherence) |
| Dewey | 530.12 (Quantum mechanics) |
| Catalog entry | Caprazli, Kafkas M. The other seesaw : a parable of the second complementarity / Kafkas M. Caprazli. — Wolfsburg : Independent, 2025. |

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## Target Venues

**Scientific (3):** American Journal of Physics, European Journal of Physics, Foundations of Physics

**Popular (3):** Quanta Magazine, Nautilus, Aeon

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## Related Works

### Cites

- Caprazli (2025). A Complementarity Relation for Gravitational Decoherence. DOI:10.5281/zenodo.17935444
- Caprazli (2025). A Second Complementarity Relation for Gravitational Decoherence. DOI:10.5281/zenodo.18012170
- Caprazli (2025). Dominance, Geometry, and Dynamics. DOI:10.5281/zenodo.17989908
- Caprazli (2025). The Seesaw: A Parable of the First Complementarity. DOI:10.5281/zenodo.18052539 [SEESAW-FIRST-2025]

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Is supplement to
10.5281/zenodo.18012170 (DOI)