Informational Geometry and the Primitive Null Constraint: A Quantum-Gravity Framework
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2025
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| _version_ | 1866901213005479936 |
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| author | CATRAMBONE, EUGENE |
| author_facet | CATRAMBONE, EUGENE |
| contents | <p>This work develops a candidate framework for quantum gravity grounded in informational geometry and a primitive null constraint. Building on earlier studies of discrete null-constrained holonomies and Wilson-loop scaling, we construct a unified quantization program spanning path-integral, canonical (Wheeler–DeWitt), and spinfoam approaches. The framework is founded on three principles: (i) the scalar clock as a primitive informational degree of freedom, (ii) the awareness tensor (A-mu-nu) as an effective metric deformation, and (iii) the null constraint as a dynamical causal principle.</p> <p>Key results include:</p> <ul> <li> <p>A formal proposition showing that null enforcement generically induces an area-law phase, demonstrated in Z2 and SU(2) foam models.</p> </li> <li> <p>A uniqueness theorem for the leading-order informational deformation of the scalar-clock kinetic term.</p> </li> <li> <p>A continuum–discrete dictionary that operationally matches lattice observables to effective field-theory couplings.</p> </li> <li> <p>Illustrative lattice simulations showing the onset of area-law behavior with null density, and a forecast of potential cosmological signatures (Delta C-ell / C-ell) within Planck/ACT sensitivity.</p> </li> </ul> <p>This draft synthesizes discrete and continuum quantization strategies into a coherent informational-geometric program, providing both mathematical propositions and numerical evidence. It situates the null constraint as a physically testable principle, linking confinement phenomena, causal structure, and cosmological observables.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16934210 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Informational Geometry and the Primitive Null Constraint: A Quantum-Gravity Framework CATRAMBONE, EUGENE quantum gravity, informational geometry, null constraint, Wilson loops, spinfoam, Wheeler–DeWitt, cosmology, area law, confinement, effective field theory <p>This work develops a candidate framework for quantum gravity grounded in informational geometry and a primitive null constraint. Building on earlier studies of discrete null-constrained holonomies and Wilson-loop scaling, we construct a unified quantization program spanning path-integral, canonical (Wheeler–DeWitt), and spinfoam approaches. The framework is founded on three principles: (i) the scalar clock as a primitive informational degree of freedom, (ii) the awareness tensor (A-mu-nu) as an effective metric deformation, and (iii) the null constraint as a dynamical causal principle.</p> <p>Key results include:</p> <ul> <li> <p>A formal proposition showing that null enforcement generically induces an area-law phase, demonstrated in Z2 and SU(2) foam models.</p> </li> <li> <p>A uniqueness theorem for the leading-order informational deformation of the scalar-clock kinetic term.</p> </li> <li> <p>A continuum–discrete dictionary that operationally matches lattice observables to effective field-theory couplings.</p> </li> <li> <p>Illustrative lattice simulations showing the onset of area-law behavior with null density, and a forecast of potential cosmological signatures (Delta C-ell / C-ell) within Planck/ACT sensitivity.</p> </li> </ul> <p>This draft synthesizes discrete and continuum quantization strategies into a coherent informational-geometric program, providing both mathematical propositions and numerical evidence. It situates the null constraint as a physically testable principle, linking confinement phenomena, causal structure, and cosmological observables.</p> |
| title | Informational Geometry and the Primitive Null Constraint: A Quantum-Gravity Framework |
| topic | quantum gravity, informational geometry, null constraint, Wilson loops, spinfoam, Wheeler–DeWitt, cosmology, area law, confinement, effective field theory |
| url | https://doi.org/10.5281/zenodo.16934210 |