Another "Fundamond" (i.e. fundamental theory to explain MOND phenomenology) proposal tweaked to incorporate quantum gravity considerations. Spin connection foams are a subset of the loop quantum gravity program that seeks to quantize space-time.
Building upon previous work that derived an alternative to (galactic) dark matter in the form of Modified Newtonian Dynamics (MOND), with a specific theoretical interpolating function, from the motion of a non-relativistic test particle in the gravitational field of a point mass immersed in the non-relativistic static limit of the spin connection foam -- which represents the quantum analogue of Minkowski spacetime within precanonical quantum gravity -- we now show the consequences of using higher moments (third and fourth) of the corresponding geodesic equation with a random spin connection term.
These higher moments lead to more general quantum modifications of the Newtonian potential (qMOND potentials expressed in terms of Gauss and Appell hypergeometric functions), more general (steeper) MOND interpolating functions, and a new modification of MOND at low accelerations (mMOND) that features an almost-flat asymptotic rotation curve ∝r−^1/18, which is expected to operate at approximately the same galactic scales as MOND.
M.E. Pietrzyk, V.A. Kholodnyi, I.V. Kanattšikov, J. Kozicki, "Modifications of Newtonian dynamics from higher moments of quantum spin connection in precanonical quantum gravity" arXiv:2511.15025 (November 18, 2025) ("To appear in the Special Issue "My Favourite Dark Matter Model'' of MPLA").
1 comment:
mitchell porter
what do you think of the Kodama state
arXiv:2511.05417 (hep-th)
[Submitted on 7 Nov 2025]
Quantum Gravity, de Sitter Space, and Normalizability
Stephon Alexander, Heliudson Bernardo, Jacob Kuntzleman, Max Pezzelle
We propose a resolution to the longstanding problem of perturbative normalizability in canonical quantum gravity of the Lorentzian Chern-Simons-Kodama (CSK) state with a positive cosmological constant in four dimensions. While the CSK state is an exact solution to the Hamiltonian constraint in the self-dual formulation and semiclassically describes de Sitter spacetime, its physical viability has been questioned due to apparent nonnormalizability and CPT asymmetry. Starting from a nonperturbative holomorphic inner product derived from the reality conditions of the self-dual Ashtekar variables, we show that the linearization, in terms of gravitons, of the CSK state is perturbatively normalizable for super-Planckian cosmological constant. Furthermore, we demonstrate that a rotation in phase space, a generalization of Thiemann's complexifier, can render the full perturbative state normalizable for all by analytically continuing the non-convergent modes in phase space. This provides the first concrete realization of a CPT-breaking, yet normalizable, gravitational vacuum state rooted in a nonperturbative quantum gravity framework. Our results establish the CSK state-long thought formal-as a viable candidate for the ground state of quantum gravity in de Sitter space.
Comments: 14 pages
Subjects: High Energy Physics - Theory (hep-th); Cosmology and Nongalactic Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2511.05417 [hep-th]
Post a Comment