State-Differential Response Principle (SDRP): Four Cases, One Falsifiable Prediction, Open Research Directions
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| Sprache: | Englisch |
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2026
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| _version_ | 1866901958432915456 |
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| author | Ngo, Trieu The (Thomas) |
| author_facet | Ngo, Trieu The (Thomas) |
| contents | <p class="MsoNormal">In March 2025, DESI DR2 confirmed that the dark energy equation-of-state parameter w is not constant — evidence at 2.8–4.2σ. This result challenges every existing cosmological framework. None provides a mechanistic explanation for the spatial structure of the variation, nor makes a unique spatial prediction testable against existing data.</p> <p class="MsoNormal">We propose the State-Differential Response Principle (SDRP — Ngo 2026): systems respond to differentials in their own macroscopic state. The differential is sufficient. For the two SDRP-proper instances (Einstein GR, Madelung QM), matter is not required; the two emergent cases (Fourier, Boltzmann H-theorem) establish the gradient structure through matter but are distinguished from Ohm/Fick/Darcy by the absence of any known deeper mechanistic explanation for why the gradient structure takes the form F[Φ] = −κ∇Φ. Four independently formulated physical frameworks share this structure:</p> <p class="MsoNormal"><strong><span>F[Φ] = −κ(L) · ∇Φ</span></strong></p> <p class="MsoNormal">Fourier heat conduction (1822), Boltzmann H-theorem (1872), Einstein's General Relativity (1915), Madelung's quantum pressure (1927). Two cases are emergent from matter but establish the gradient structure (Fourier, Boltzmann); two operate without matter and without any known deeper mechanism (Einstein GR, Madelung QM) — distinguishing all four from gradient laws (Ohm, Fick, Darcy) which require matter and have mechanistic explanations from deeper physics.</p> <p class="MsoNormal">We propose Gradient Interaction as the fifth SDRP instance at cosmological scales. Its unique prediction: w_void(z) ≠ w_filament(z) at fixed redshift. No existing model makes this spatial prediction. DESI DR2 confirms the temporal dimension. The spatial test requires no new instrumentation.</p> <p class="MsoNormal">We identify two open research directions: whether what physics calls dark energy is gradient interaction misidentified as a substance, and whether dark matter effects may follow the gradient of the matter distribution field rather than local matter. We do not claim these are solved. We identify them as new directions worth investigating.</p> <p class="MsoNormal">Keywords: SDRP, dark energy, DESI, gradient interaction, cosmology, w_void, w_filament</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19541898 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | State-Differential Response Principle (SDRP): Four Cases, One Falsifiable Prediction, Open Research Directions Ngo, Trieu The (Thomas) SDRP, dark energy, DESI, gradient interaction, cosmology, w_void, w_filament <p class="MsoNormal">In March 2025, DESI DR2 confirmed that the dark energy equation-of-state parameter w is not constant — evidence at 2.8–4.2σ. This result challenges every existing cosmological framework. None provides a mechanistic explanation for the spatial structure of the variation, nor makes a unique spatial prediction testable against existing data.</p> <p class="MsoNormal">We propose the State-Differential Response Principle (SDRP — Ngo 2026): systems respond to differentials in their own macroscopic state. The differential is sufficient. For the two SDRP-proper instances (Einstein GR, Madelung QM), matter is not required; the two emergent cases (Fourier, Boltzmann H-theorem) establish the gradient structure through matter but are distinguished from Ohm/Fick/Darcy by the absence of any known deeper mechanistic explanation for why the gradient structure takes the form F[Φ] = −κ∇Φ. Four independently formulated physical frameworks share this structure:</p> <p class="MsoNormal"><strong><span>F[Φ] = −κ(L) · ∇Φ</span></strong></p> <p class="MsoNormal">Fourier heat conduction (1822), Boltzmann H-theorem (1872), Einstein's General Relativity (1915), Madelung's quantum pressure (1927). Two cases are emergent from matter but establish the gradient structure (Fourier, Boltzmann); two operate without matter and without any known deeper mechanism (Einstein GR, Madelung QM) — distinguishing all four from gradient laws (Ohm, Fick, Darcy) which require matter and have mechanistic explanations from deeper physics.</p> <p class="MsoNormal">We propose Gradient Interaction as the fifth SDRP instance at cosmological scales. Its unique prediction: w_void(z) ≠ w_filament(z) at fixed redshift. No existing model makes this spatial prediction. DESI DR2 confirms the temporal dimension. The spatial test requires no new instrumentation.</p> <p class="MsoNormal">We identify two open research directions: whether what physics calls dark energy is gradient interaction misidentified as a substance, and whether dark matter effects may follow the gradient of the matter distribution field rather than local matter. We do not claim these are solved. We identify them as new directions worth investigating.</p> <p class="MsoNormal">Keywords: SDRP, dark energy, DESI, gradient interaction, cosmology, w_void, w_filament</p> |
| title | State-Differential Response Principle (SDRP): Four Cases, One Falsifiable Prediction, Open Research Directions |
| topic | SDRP, dark energy, DESI, gradient interaction, cosmology, w_void, w_filament |
| url | https://doi.org/10.5281/zenodo.19541898 |