Ulla Mattfolk
It is important to know that there are normalisations needed to obtain this invariant across scales for more than 100 quantum, molecular, and cosmological spherical objects, including the observable universe. The main parameters analysed are the radius R, mass M, angular momentum or rotation J, and the constants G, c, and ħ.
What is surprising and promising is that I calculated numbers from M, R, and J using a specific equation with concrete data. I have results for more than 100 spherical objects: protons, neutrons, electrons, hydrogen and helium atoms, molecules such as H₂O and LiH, and then planets, stars, black holes, galaxies, clusters, and even the observable universe.
There is no constant or invariant appearing in these first raw calculations, which is logical. But after normalising with the constants and the appropriate scales, something relevant appears. For quantum objects, atoms, and molecules, I use a specific multiplication involving ħ and R. For planets and stars, I consider rotational velocities and c. For black holes, I use G, mass, and results from Kerr geometry. For galaxies, clusters, and the observable universe, I apply similar normalisations using rotation and c.
This produces a kind of dimensionless invariant that emerges across all scales, with values consistently between 0.90 and 0.93 for many spherical objects. It is essentially how we combine the results for our spherical objects and how the normalisation introduces the invariant. G, c, and ħ are used to renormalise the quantities.
This suggests that mass, radius, angular momentum, and rotation of universal quantum and cosmological spherical objects,including perhaps the universe, a sohere , as a whole,follow a spherical logic governed by the fundamental constants G, c, and ħ and properties of physical spherical volumes.
Such an invariant may provide insights for quantum gravity and deeper physics. There appears to be a logic across all scales. The spherical quantum and cosmological volumes, once normalised by these constants, become interesting. We need to unify QM, GR, dark energy, dark matter, thermodynamics, QFT, cosmology, and information theory.
This is why the result is potentially relevant to quantum gravity, though I do not assert anything about the existence of gravitons or the elimination of ultraviolet divergences. But the presence of a cross-scale dimensionless invariant is relevant. Quantum gravity may require a framework built from a quantum system with radius and spin. I do not yet know how to reconcile Compton scales, Schwarzschild scales, Kerr geometry, entropy, thermodynamics, or dark energy as a possible fifth force, but everything seems to follow a certain underlying logic.
I am convinced that the constants G, c, and ħ, together with physical parameters like mass, radius, spin, and angular momentum, follow a kind of universal spherical logic. Ontologically it is not easy to determine the deeper hidden parameters, or how dark energy and dark matter should be incorporated. The universe has dimensionless invariants and constants, which suggests deeper structures,and spherical volumes may be the key.It is like we turn the researchs on this logic to see details that we don t know.
Quantum gravity, geometric principles, and information theory appear interconnected.
This also relates to spherisation and spherical quantum–cosmological volumes. We need to unify quantum particles, atoms, molecules, evolution, biology, cosmology,Universal possible sphere and ontology. If hierarchical spherical volumes with emergent properties from deeper informational and geometric constraints are real, then analysing the ratios of the constants and physical parameters,such as the invariant I described,becomes highly relevant. Action principles also seem important in this puzzle.
This framework could help us better understand holography, entropy, negentropy, information, stability of rotating gravitational systems, quantum spin, evolution, and more.
I am intrigued by whether dark energy and dark matter truly exist at the cosmological scale, and how to incorporate mass, information, and radius if they do. Even at the quantum scale, it would be interesting if dark energy were hidden and produced an informational, anti-gravitational field, like a purely geometric spherical substrate of the proton.
There may even be ontological paths connecting this structure to consciousness, with our physical structures expressing a finite aspect of it. I do not assert this, but it is a possibility. This infinite eternal conscioisness in 0D omnipotent could be a reality, but I don t assert I repeat. We don t know the truth. Deepak Chopra and Hameroff work together I saw on linkedin about the souls. it is intriguing even if they are assumptions.
If spherical volumes are fundamental at all scales and rotations are also fundamental, then the situation becomes complex when including rotational couplings, dark-energy expansion, mass distributions, and relativistic effects. It is also intriguing how baryonic matter is stabilised and evolves under negentropic organisation with extraordinary diversity. Symmetry breaking plays a role as well.
A universal angular-momentum–mass–radius invariant emerging through normalisation with the constants may indicate the need for a force that ensures stability,perhaps connected to dark energy. Black holes should be studied more deeply, including the role of information in their relativistic structure. This leads to possible ontological extrapolations. Holography, Bekenstein bounds, AdS/CFT, black holes, quantum information,all follow a certain universal logic, and spherical volumes may be the key.
In any case, QFT needs an explanation for gravity, and a deeper understanding of quantum information. That is why my assumption of mass energy equivalence can maybe be correlated but of course we need to have concrete resulsts.
