Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity
We present a study of relic gravitational waves based on a foliated gauge field theory defined over a spacetime endowed with a noncommutative algebraic–geometric structure. As an ontological extension of general relativity—concerning manifolds, metrics, and fiber bundles—the conventional space and t...
Saved in:
| Main Authors: | , , , , , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-05-01
|
| Series: | Universe |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-1997/11/6/179 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849418046466162688 |
|---|---|
| author | César A. Zen Vasconcellos Peter O. Hess José A. de Freitas Pacheco Fridolin Weber Remo Ruffini Dimiter Hadjimichef Moisés Razeira Benno August Ludwig Bodmann Marcelo Netz-Marzola Geovane Naysinger Rodrigo Fraga da Silva João G. G. Gimenez |
| author_facet | César A. Zen Vasconcellos Peter O. Hess José A. de Freitas Pacheco Fridolin Weber Remo Ruffini Dimiter Hadjimichef Moisés Razeira Benno August Ludwig Bodmann Marcelo Netz-Marzola Geovane Naysinger Rodrigo Fraga da Silva João G. G. Gimenez |
| author_sort | César A. Zen Vasconcellos |
| collection | DOAJ |
| description | We present a study of relic gravitational waves based on a foliated gauge field theory defined over a spacetime endowed with a noncommutative algebraic–geometric structure. As an ontological extension of general relativity—concerning manifolds, metrics, and fiber bundles—the conventional space and time coordinates, typically treated as classical numbers, are replaced by complementary quantum dual fields. Within this framework, consistent with the Bekenstein criterion and the Hawking–Hertog multiverse conception, singularities merge into a helix-like cosmic scale factor that encodes the topological transition between the contraction and expansion phases of the universe analytically continued into the complex plane. This scale factor captures the essence of an intricate topological quantum-leap transition between two phases of the branching universe: a contraction phase preceding the now-surpassed conventional concept of a primordial singularity and a subsequent expansion phase, whose transition region is characterized by a Riemannian topological foliated structure. The present linearized formulation, based on a slight gravitational field perturbation, also reveals a high sensitivity of relic gravitational wave amplitudes to the primordial matter and energy content during the universe’s phase transition. It further predicts stochastic homogeneous distributions of gravitational wave intensities arising from the interplay of short- and long-spacetime effects within the non-commutative algebraic framework. These results align with the anticipated future observations of relic gravitational waves, expected to pervade the universe as a stochastic, homogeneous background. |
| format | Article |
| id | doaj-art-26d0fd9e4f0b411fbd514472f3a0361a |
| institution | Kabale University |
| issn | 2218-1997 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-26d0fd9e4f0b411fbd514472f3a0361a2025-08-20T03:32:33ZengMDPI AGUniverse2218-19972025-05-0111617910.3390/universe11060179Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum GravityCésar A. Zen Vasconcellos0Peter O. Hess1José A. de Freitas Pacheco2Fridolin Weber3Remo Ruffini4Dimiter Hadjimichef5Moisés Razeira6Benno August Ludwig Bodmann7Marcelo Netz-Marzola8Geovane Naysinger9Rodrigo Fraga da Silva10João G. G. Gimenez11Instituto de Fisica, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilInstituto de Ciencias Nucleares, Universidad Nacional Autonoma de Mexico (UNAM), A.P. 70-543, Mexico City 04510, MexicoObservatoire de la Cote d’Azur (OCA), 06300 Nice, FranceDepartment of Physics, San Diego State University (SDSU), San Diego, CA 92182, USAInternational Center for Relativistic Astrophysics Network (ICRANet), 65122 Pescara, ItalyInstituto de Fisica, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilUniversidade Federal do Pampa (UNIPAMPA), Campus Caçapava do Sul, Caçapava do Sul 96570-000, BrazilInstituto de Fisica, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilFrankfurt Institute for Advanced Studies (FIAS), J.W. von Goethe Universität, 60438 Frankfurt am Main, GermanyInstituto de Fisica, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilInstituto de Fisica, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilInstituto de Fisica, Universidade Federal do Rio Grande do Sul (UFRGS), Porto Alegre 91501-970, BrazilWe present a study of relic gravitational waves based on a foliated gauge field theory defined over a spacetime endowed with a noncommutative algebraic–geometric structure. As an ontological extension of general relativity—concerning manifolds, metrics, and fiber bundles—the conventional space and time coordinates, typically treated as classical numbers, are replaced by complementary quantum dual fields. Within this framework, consistent with the Bekenstein criterion and the Hawking–Hertog multiverse conception, singularities merge into a helix-like cosmic scale factor that encodes the topological transition between the contraction and expansion phases of the universe analytically continued into the complex plane. This scale factor captures the essence of an intricate topological quantum-leap transition between two phases of the branching universe: a contraction phase preceding the now-surpassed conventional concept of a primordial singularity and a subsequent expansion phase, whose transition region is characterized by a Riemannian topological foliated structure. The present linearized formulation, based on a slight gravitational field perturbation, also reveals a high sensitivity of relic gravitational wave amplitudes to the primordial matter and energy content during the universe’s phase transition. It further predicts stochastic homogeneous distributions of gravitational wave intensities arising from the interplay of short- and long-spacetime effects within the non-commutative algebraic framework. These results align with the anticipated future observations of relic gravitational waves, expected to pervade the universe as a stochastic, homogeneous background.https://www.mdpi.com/2218-1997/11/6/179relic gravitational wavesnoncommutative geometryfoliated quantum gravitybranch-cut quantum gravitytopological phase transitioninflationary cosmology |
| spellingShingle | César A. Zen Vasconcellos Peter O. Hess José A. de Freitas Pacheco Fridolin Weber Remo Ruffini Dimiter Hadjimichef Moisés Razeira Benno August Ludwig Bodmann Marcelo Netz-Marzola Geovane Naysinger Rodrigo Fraga da Silva João G. G. Gimenez Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity Universe relic gravitational waves noncommutative geometry foliated quantum gravity branch-cut quantum gravity topological phase transition inflationary cosmology |
| title | Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity |
| title_full | Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity |
| title_fullStr | Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity |
| title_full_unstemmed | Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity |
| title_short | Relic Gravitational Waves in the Noncommutative Foliated Riemannian Quantum Gravity |
| title_sort | relic gravitational waves in the noncommutative foliated riemannian quantum gravity |
| topic | relic gravitational waves noncommutative geometry foliated quantum gravity branch-cut quantum gravity topological phase transition inflationary cosmology |
| url | https://www.mdpi.com/2218-1997/11/6/179 |
| work_keys_str_mv | AT cesarazenvasconcellos relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT peterohess relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT joseadefreitaspacheco relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT fridolinweber relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT remoruffini relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT dimiterhadjimichef relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT moisesrazeira relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT bennoaugustludwigbodmann relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT marcelonetzmarzola relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT geovanenaysinger relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT rodrigofragadasilva relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity AT joaogggimenez relicgravitationalwavesinthenoncommutativefoliatedriemannianquantumgravity |