Gardado en:
| Autor Principal: | |
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| Formato: | Recurso digital |
| Idioma: | inglés |
| Publicado: |
Zenodo
2025
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| Subjects: | |
| Acceso en liña: | https://doi.org/10.5281/zenodo.17856210 |
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Table of Contents:
- <p>nformational Projection Theory (IPT) treats physical reality as the real projection of a<br>complex informational field I = IR +iII defined on a manifold endowed with an informational<br>measure, an idempotent projection, and a closed curvature relation. In IPT I a minimal<br>three–parameter Lagrangian was shown to reproduce, after projection, Einstein–like gravity,<br>Maxwell electromagnetism, quantum kinematics and a late–time de Sitter phase without<br>extreme fine tuning. [1] IPT II applied the same framework to black–hole horizons and the<br>Page curve, with the black–hole information problem interpreted as a projection artifact<br>rather than a fundamental nonunitarity. [2]<br>In this third paper we focus on gauge symmetry and long–range interactions. First, we<br>derive Abelian and non–Abelian gauge structure from local invariances of the informational<br>norm and projection map, rather than postulating gauge redundancy by hand. We construct<br>an informational covariant derivative, show how a gauge connection and field strength arise<br>from demanding local phase invariance of I, and derive the associated Noether currents.<br>In an appropriate regime the gauge equations reduce, under well–specified assumptions, to<br>equations identical in form to Maxwell’s equations in flat space, with a well–defined effective<br>coupling.<br>Second, we identify an additional U (1)inf symmetry acting on the relative phase between<br>open and closed information, and we gauge it to obtain a new vector field Bμ coupled to<br>an informational charge that measures the open/closed imbalance. The corresponding fifth<br>interaction is long–range and repulsive or attractive depending on the sign of this charge.<br>Its dimensionless fine–structure analogue is naturally suppressed by the same large number<br>∼ 10122 that characterises the hierarchy between the Planck density and the observed dark–<br>energy density, so that laboratory fifth–force constraints are automatically satisfied by many<br>orders of magnitude.<br>We give a phenomenological sketch, comparing the IPT prediction for the fifth–force<br>strength with existing torsion–balance tests and long–range Yukawa bounds, and we dis-<br>cuss possible signatures in cosmology and black–hole physics. Throughout, IPT does not<br>merely add new fields: gauge symmetry itself is reinterpreted as a projection symmetry of a<br>closed informational manifold. Within the dual–projection framework we argue that, once<br>locality and norm– and projection–preserving internal actions are imposed, the four familiar<br>long–range interactions together with the informational fifth force exhaust the continuous<br>symmetries that can mediate fundamental long–range forces.1</p>