DJAMILAR: Gravity as Geometric Filtration — A Common Geometric Origin of Gravitation, Quantum-Classical Behaviour and Dark-Sector Phenomenology

For centuries, physicists have treated the universe as if it were built from two separate sets of rules. On the one hand, there is the smooth, predictable geometry of gravity, where planets orbit stars and light bends around massive objects. On the other, there is the jittery, probabilistic world of quantum mechanics, where particles exist in multiple states at once until they are observed. Between these two realms lies a vast mystery: why do large objects behave like solid, classical things, while tiny ones act like waves? Furthermore, when astronomers look at galaxies, they see stars moving in ways that suggest invisible "dark matter" is holding them together, yet no one has ever found a particle for this dark substance. The prevailing view is that these are separate problems requiring separate solutions. A new theoretical framework, however, proposes that the answer to all three questions—the nature of gravity, the transition from quantum to classical, and the missing mass in galaxies—might lie in a single, shared structure of space itself.

This new work, titled DJAMILAR, suggests that space is not a smooth, continuous fabric but is instead perforated by microscopic openings, or apertures. Imagine the structure of spacetime as a sieve. The size and density of the holes in this sieve determine how forces and information pass through. The researchers propose that these holes, which they call Djamilars, act as a filter. When the holes are open, the underlying structure allows for the coherent, wave-like behavior seen in quantum experiments. As the holes change or close, that coherence is lost, and the object behaves like a solid, classical particle. This same filtering mechanism is also proposed to generate the force of gravity and to mimic the effects of dark matter, suggesting that what we perceive as dark matter is actually the geometric response of these apertures to the matter within a galaxy.

The paper does not claim to have observed these apertures directly. Instead, the author has built a mathematical model to see if this single idea can hold up under the strict tests of modern physics. They constructed a set of equations that describe how these microscopic openings would interact with matter and light. The goal was to see if this one geometric mechanism could reproduce the known laws of gravity, explain why large objects stop behaving like quantum waves, and match the observed speeds of stars in galaxies without needing to invent new, invisible particles. The results are a mix of promising connections and strict limitations. The model demonstrates how a single geometric state could theoretically link the behavior of a galaxy to the behavior of a subatomic particle, providing a unified origin hypothesis for phenomena that are usually treated as unrelated, though the microscopic derivation of this origin remains an open problem.

However, the researchers are careful to state that this is a proposal, not a final proof. They have derived specific conditions that their theory must meet to be considered valid. For instance, they found that for the theory to work, the "filtering" effect must change in a very specific, predictable way as you move from the center of a galaxy to its edge. They also established a strict test involving our solar system: if the theory is correct, the way gravity behaves on Earth and in the solar system must follow a precise mathematical relationship with how it behaves in distant galaxies. The paper shows that under current observational bounds and specific conditional premises, the theory is not excluded by this test, but it relies on assumptions that have not yet been proven. This means the idea is not a free pass to explain everything; it is a specific, testable hypothesis that can be proven wrong if observations do not match its predictions or if the underlying premises fail.

One of the most significant findings in the paper is what it rules out. The author demonstrates that you cannot simply adjust the size of these microscopic holes to fit every observation individually. If the theory were just a flexible tool to match data, it would be useless. Instead, they show that the same geometric state must explain the motion of stars in a galaxy and the orbit of a planet like Saturn simultaneously. They found that for the theory to work, the "filter" must be nearly uniform across the universe at any given time, rather than changing randomly from one galaxy to another. This is a strong constraint. It means that if future observations show that galaxies behave differently than the theory predicts, the entire concept of a single geometric origin for gravity and quantum behavior would need to be abandoned or fundamentally revised.

The paper also addresses the deep mystery of why the universe is accelerating in its expansion, a phenomenon usually attributed to "dark energy." The model suggests that the microscopic apertures have a memory of their past states, which creates a kind of pressure in the fabric of space. This pressure could mimic the effects of dark energy. However, the author is explicit that their model does not solve the problem of why the vacuum energy of space is so small, a major unsolved puzzle in physics. They show that their specific mathematical setup cannot hide the vacuum energy as some other theories attempt to do. Instead, they leave this as an open question, acknowledging that their current equations do not yet explain the full energy budget of the universe.

In the realm of the very small, the theory offers a concrete explanation for the "collapse" of quantum states. It suggests that as an object interacts with its environment, the microscopic apertures in space effectively "measure" the object, causing it to lose its quantum wave properties and settle into a definite position. The paper provides exact formulas for how fast this happens and how much heat is generated by the process. These formulas are derived directly from the geometry of the apertures. If experiments with large molecules or nanoparticles in the future detect a specific amount of heat or a specific rate of decoherence that matches these formulas, it would be strong evidence that the geometric filtration idea is correct. If the experiments show something different, the theory would be falsified.

The researchers also looked at the structure of the universe on the largest scales. They found that their model derives specific relationships between the density of matter and the rate at which the universe expands, dependent on the "drift" of the microscopic apertures over time. However, they explicitly leave calculations regarding the Cosmic Microwave Background (CMB), structure growth, and Weyl potentials open. Consequently, while the model provides a framework for homogeneous cosmology, it has not yet been fully confronted with the full suite of cosmological observables required to confirm it produces a universe that looks like the one we observe.

Ultimately, this paper is a rigorous attempt to unify the separate pillars of physics into a single, coherent story. It proposes that gravity, quantum mechanics, and the dark sector are not separate forces but different faces of the same geometric structure. The work is not a finished theory but a detailed map of what such a theory would look like and where it might fail. The author has laid out the rules of the game: the theory must pass the solar system test, it must explain galaxy rotation without extra particles, and it must match the behavior of quantum objects. They have shown that it is possible to write down equations that satisfy these rules under specific conditional premises, but they have also shown that the margin for error is incredibly small and that key derivations remain open. The next step is not to assume the theory is right, but to use these precise predictions to test it against the real universe. If the universe behaves exactly as the Djamilar model predicts, it would revolutionize our understanding of reality. If it does not, the search for the true nature of space and gravity must continue, but with a clearer understanding of what that nature cannot be.