Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
Connes.Gravity coupled with matter and the foundation of non-commutative geometry
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Invariance of the SU(∞)-QGR action under variation of the parameter-space metric produces an Einstein-like energy-momentum constraint, and Hilbert-space fragmentation is argued to classically appear as inflation, reheating, and late-time acceleration.
Product of noncommutative spectral triple with 2D internal space yields charged fermion model whose fluctuations produce gauge fields, geometry changes, charge-dependent derivative, and novel induced bosonic terms.
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Quantum-Deformed Phase-Space Geometry and Emergent Inflation in Effective Four-Dimensional Spacetime
Quantum deformation of projective phase-space geometry induces a conformally deformed FLRW metric whose time-dependent corrections modify inflationary background equations, slow-roll parameters, and perturbations in a covariant manner.
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Energy-momentum and dark energy in $\boldsymbol{SU(\infty)}$-QGR quantum gravity
Invariance of the SU(∞)-QGR action under variation of the parameter-space metric produces an Einstein-like energy-momentum constraint, and Hilbert-space fragmentation is argued to classically appear as inflation, reheating, and late-time acceleration.
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Fuzzy Geometries with an Internal Space
Product of noncommutative spectral triple with 2D internal space yields charged fermion model whose fluctuations produce gauge fields, geometry changes, charge-dependent derivative, and novel induced bosonic terms.