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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19700323 |
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| author | Porschová, Andrea |
| author_facet | Porschová, Andrea |
| contents | <p></p> <p>Within CPQ theory, we show that the volume (<span class="math math-inline">V</span>) sector of the full CPQ Lagrangian [1] reproduces the Poisson limit, linear gravitational dynamics, and naturally leads to an emergent metric formulation consistent with the linearised Einstein equations. The derivation follows a chain structurally symmetric with the derivation of Maxwell's equations from the torsion (<span class="math math-inline">\vec T</span>) sector: linearisation around the vacuum, identification of the gravitational potential with volume deformation, Newton's law from spherical symmetry, and linear gravitational waves. The fully nonlinear equivalence with the Einstein equations is strongly motivated by saturation and geometric identification, but a rigorous mathematical proof remains an open step. Gravity is, within CPQ, a consequence of volume deformation of the matrix, just as electromagnetism is a consequence of torsion deformation. Both interactions are orthogonal projections of a single action.</p> <ul> <li>Porschová, A. (2026). CPQ Theory — A Unified Framework from Spacetime Quanta to Cosmology (Books I–III). Zenodo. <a href="https://doi.org/10.5281/zenodo.18686137">https://doi.org/10.5281/zenodo.18686137</a></li> <li>Porschová, A. (2026). CPQ Field Theory — Applications (Books 01–03). Zenodo. <a href="https://doi.org/10.5281/zenodo.19100819">https://doi.org/10.5281/zenodo.19100819</a></li> <li>Porschová, A. (2026). The Matrix — Parameters and Dynamics: Foundation of CPQ Theory (3.1). Zenodo. <a href="https://doi.org/10.5281/zenodo.19431867">https://doi.org/10.5281/zenodo.19431867</a></li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19700323 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | CPQ Theory: The Volume Sector of the Matrix and Emergence of the Einstein Limit Porschová, Andrea <p></p> <p>Within CPQ theory, we show that the volume (<span class="math math-inline">V</span>) sector of the full CPQ Lagrangian [1] reproduces the Poisson limit, linear gravitational dynamics, and naturally leads to an emergent metric formulation consistent with the linearised Einstein equations. The derivation follows a chain structurally symmetric with the derivation of Maxwell's equations from the torsion (<span class="math math-inline">\vec T</span>) sector: linearisation around the vacuum, identification of the gravitational potential with volume deformation, Newton's law from spherical symmetry, and linear gravitational waves. The fully nonlinear equivalence with the Einstein equations is strongly motivated by saturation and geometric identification, but a rigorous mathematical proof remains an open step. Gravity is, within CPQ, a consequence of volume deformation of the matrix, just as electromagnetism is a consequence of torsion deformation. Both interactions are orthogonal projections of a single action.</p> <ul> <li>Porschová, A. (2026). CPQ Theory — A Unified Framework from Spacetime Quanta to Cosmology (Books I–III). Zenodo. <a href="https://doi.org/10.5281/zenodo.18686137">https://doi.org/10.5281/zenodo.18686137</a></li> <li>Porschová, A. (2026). CPQ Field Theory — Applications (Books 01–03). Zenodo. <a href="https://doi.org/10.5281/zenodo.19100819">https://doi.org/10.5281/zenodo.19100819</a></li> <li>Porschová, A. (2026). The Matrix — Parameters and Dynamics: Foundation of CPQ Theory (3.1). Zenodo. <a href="https://doi.org/10.5281/zenodo.19431867">https://doi.org/10.5281/zenodo.19431867</a></li> </ul> |
| title | CPQ Theory: The Volume Sector of the Matrix and Emergence of the Einstein Limit |
| url | https://doi.org/10.5281/zenodo.19700323 |