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2026
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| Online Access: | https://doi.org/10.5281/zenodo.18322885 |
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| author | Moses, Rahnama |
| author_facet | Moses, Rahnama |
| contents | <p>We propose that <strong>measurement is not a mathematical abstraction but a physical event</strong> (a “Boundary Event”) that converts quantum uncertainty into classical certainty. This conversion requires a strict thermodynamic price of at least <span><span>kBTln2</span><span><span><span><span>k</span><span><span><span><span><span><span><span>B</span></span></span></span></span></span></span></span><span>T</span><span>ln</span><span>2</span></span></span></span> of heat per bit, as required by Landauer’s principle. This framework provides a thermodynamic explanation for the Born rule: the probability <span><span>P=∣ψ∣2</span><span><span><span>P</span><span>=</span></span><span><span>∣</span><span>ψ</span><span>∣<span><span><span><span><span><span>2</span></span></span></span></span></span></span></span></span></span> arises from the cost of erasing the sign distinction (<span><span>±ψ</span><span><span><span>±</span><span>ψ</span></span></span></span>) when creating irreversible classical information.</p> <p>The squaring operation is not a mathematical postulate but a thermodynamic transaction that pays to eliminate redundant quantum pathways. We show that the <strong>accumulated classical information from irreversible measurements determines the geometry of spacetime</strong>, and that the exact relationship <span><span>THSBH=12Mc2</span><span><span><span><span>T</span><span><span><span><span><span><span><span>H</span></span></span></span></span></span></span></span><span><span>S</span><span><span><span><span><span><span><span>B</span><span>H</span></span></span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span><span>2</span></span><span><span>1</span></span></span></span></span></span></span><span>M</span><span><span>c</span><span><span><span><span><span><span>2</span></span></span></span></span></span></span></span></span></span> for black holes reveals a complete thermodynamic cycle: measurement creates classical information by paying thermodynamic cost, while black holes destroy classical information and return that cost as Hawking radiation.</p> <p>The factor of <span><span>1/2</span><span><span><span>1/2</span></span></span></span> arises because <strong>creating one bit of classical information requires eliminating one bit of quantum uncertainty</strong>, and both operations have equal energy content. The framework extends to forces by introducing a Boundary Event Potential <span><span>Φ</span><span><span><span>Φ</span></span></span></span> whose gradient gives rise to all fundamental interactions—inertia, electromagnetism, strong, weak, and gravity—as emergent phenomena minimizing thermodynamic cost. Concrete falsifiable predictions include <strong>measurement calorimetry, force-gradient calorimetry, strong-force information-cost scaling, weak-force broadcast-efficiency dependence, and Hawking–Landauer verification</strong>. </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18322885 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Thermodynamic Constraints on Measurement Events: A Boundary Framework for Classical Information Moses, Rahnama <p>We propose that <strong>measurement is not a mathematical abstraction but a physical event</strong> (a “Boundary Event”) that converts quantum uncertainty into classical certainty. This conversion requires a strict thermodynamic price of at least <span><span>kBTln2</span><span><span><span><span>k</span><span><span><span><span><span><span><span>B</span></span></span></span></span></span></span></span><span>T</span><span>ln</span><span>2</span></span></span></span> of heat per bit, as required by Landauer’s principle. This framework provides a thermodynamic explanation for the Born rule: the probability <span><span>P=∣ψ∣2</span><span><span><span>P</span><span>=</span></span><span><span>∣</span><span>ψ</span><span>∣<span><span><span><span><span><span>2</span></span></span></span></span></span></span></span></span></span> arises from the cost of erasing the sign distinction (<span><span>±ψ</span><span><span><span>±</span><span>ψ</span></span></span></span>) when creating irreversible classical information.</p> <p>The squaring operation is not a mathematical postulate but a thermodynamic transaction that pays to eliminate redundant quantum pathways. We show that the <strong>accumulated classical information from irreversible measurements determines the geometry of spacetime</strong>, and that the exact relationship <span><span>THSBH=12Mc2</span><span><span><span><span>T</span><span><span><span><span><span><span><span>H</span></span></span></span></span></span></span></span><span><span>S</span><span><span><span><span><span><span><span>B</span><span>H</span></span></span></span></span></span></span></span><span>=</span></span><span><span><span><span><span><span><span><span>2</span></span><span><span>1</span></span></span></span></span></span></span><span>M</span><span><span>c</span><span><span><span><span><span><span>2</span></span></span></span></span></span></span></span></span></span> for black holes reveals a complete thermodynamic cycle: measurement creates classical information by paying thermodynamic cost, while black holes destroy classical information and return that cost as Hawking radiation.</p> <p>The factor of <span><span>1/2</span><span><span><span>1/2</span></span></span></span> arises because <strong>creating one bit of classical information requires eliminating one bit of quantum uncertainty</strong>, and both operations have equal energy content. The framework extends to forces by introducing a Boundary Event Potential <span><span>Φ</span><span><span><span>Φ</span></span></span></span> whose gradient gives rise to all fundamental interactions—inertia, electromagnetism, strong, weak, and gravity—as emergent phenomena minimizing thermodynamic cost. Concrete falsifiable predictions include <strong>measurement calorimetry, force-gradient calorimetry, strong-force information-cost scaling, weak-force broadcast-efficiency dependence, and Hawking–Landauer verification</strong>. </p> |
| title | Thermodynamic Constraints on Measurement Events: A Boundary Framework for Classical Information |
| url | https://doi.org/10.5281/zenodo.18322885 |