Spin-foam is a quantum gravity approach that quantizes space-time, rather than treating gravity as a separate force with a carrier boson comparable to a photon or a gluon.
We argue that effects of the quantum spin-connection foam, which describes quantum gravity according to the precanonical quantization of General Relativity, may already be observed in the form of the small cosmological constant and a modification of Newtonian dynamics at small accelerations, manifested in the flat rotation curves of galaxies.
We obtain a modification of the Newtonian potential that takes into account the existence of a fundamental small acceleration scale, a∗ = 8πGℏϰ, where ϰ is a parameter with the dimensions of inverse spatial volume that appears on dimensional grounds. The connection between ϰ and the hadronic scale of the mass gap in the pure Yang-Mills sector of the Standard Model leads to an estimated value of a∗ compatible with the Milgromian acceleration scale in MOND. The connection between a*^2 and the cosmological constant leads to a realistic value of the latter. Milgromian MOND, together with a theoretically distinct interpolating function, is derived under the assumption that classical dynamics is modified by the mean-field acceleration calculated from the simplest solution of precanonical quantum gravity in the nonrelativistic approximation.
We also indicate that the effects of Newtonian dynamics modified by the spin-connection foam may be observable in the Solar System and even in laboratory experiments.
Igor V. Kanatchikov, Valery A. Kholodnyi, "Effects of Quantum Spin-Connection Foam in the Solar System, Galaxies, and the Universe" arXiv:2608.12404 (August 11, 2026) (The Seventeenth Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories, Pescara 7-12 July 2024, edited by G. Vereshchagin and R. Ruffini, this https URL, October 2026).
5 comments:
Asked Grok: {any theoretical advancement on HEP-th and cosmology which goes beyond the shadow of SM since 1984?}
Short answer from Grok: NO.
That is, all your writings for the past 30 years on physics are talking about trash.
The two litmus tests:
1) Derive CC
2) Derive Planck CMB data
Today, asking AIs. They know quite a bit.
from the paper
Hamiltonian formulation and requires no space+time decomposition. It is known
as the De Donder-Weyl (DDW) theory16,17. This formulation treats all spacetime
dimensions on an equal footing and, therefore, is not restricted to fields on globally
hyperbolic spacetimes. To turn this formulation into a framework of a quantiza-
tion of fields and gravity, a proper generalization of Poisson brackets and Dirac
brackets for singular DDW systems was found in18–22 that led to the brackets de-
fined on differential forms and to the corresponding Poisson-Gerstenhaber algebra
of dynamical variables represented by the differential forms.
what do you think of This formulation treats all spacetime
dimensions on an equal footing and, therefore, is not restricted to fields on globally
@neo I'm agnostic on this.
@andrew
i found
De Donder-Weyl Hamiltonian formulation and precanonical quantization of vielbein gravity
I.V. Kanatchikov
The De Donder-Weyl (DW) covariant Hamiltonian formulation of Palatini first-order Lagrangian of vielbein (tetrad) gravity and its precanonical quantization are presented. No splitting into the space and time is required in this formulation. Our recent generalization of Dirac brackets is used to treat the second class primary constraints appearing in the DW Hamiltonian formulation and to find the fundamental brackets. Quantization of the latter yields the representation of vielbeins as differential operators with respect to the spin connection coefficients, and the Dirac-like precanonical Schrödinger equation on the space of spin connection coefficients and space-time variables. The transition amplitudes on this space describe the quantum geometry of space-time. We also discuss the Hilbert space of the theory, the invariant measure on the spin connection coefficients, and point to the possible quantum singularity avoidance built in in the natural choice of the boundary conditions of the wave functions on the space of spin connection coefficients.
Comments: 14 pages. v2 corrects small typos in (35) and the equation preceding (12)
" No splitting into the space and time is required in this formulation" sounds good way to resolve the
problem of time in quantum gravity
what do you think
"No splitting into the space and time is required in this formulation" IMHO, that conclusion is trivial and not a big deal. That's basically how everything in the SM works.
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