If you ask a theoretical physicist how an electron emits a photon when it changes orbital, you will likely encounter an explanation that challenges every intuitive notion of geometry. You will be told that energy spreads through space as a doughnut-shaped wave (dipole radiation) and that, the moment it encounters an obstacle such as your retina or an atom on a screen, this immaterial cloud instantly vanishes, concentrating all its energy into a single random point.
This is called wave function collapse.
But let us be honest: from a purely geometric and structural perspective, this explanation is not very plausible. It resembles a mathematical wildcard, a conceptual device introduced to patch over a deeper inconsistency. The numerical predictions of Quantum Mechanics are extraordinarily accurate. They predict the behavior of microchips and lasers to astonishing decimal precision, yet the physical picture that emerges often borders on the absurd.
We are not alone in experiencing this frustration. Albert Einstein rejected this interpretation throughout his life (“God does not play dice”), dismissing action at a distance as something ghostly and unacceptable. Erwin Schrödinger devised his famous cat-in-the-box paradox precisely to illustrate how radically quantum orthodoxy challenged common-sense realism.
Today, fundamental physics finds itself in a deep intellectual dead end. In our attempt to make the equations work, we have accepted increasingly strange compromises, from nonlocality to the multiplication of infinitely many parallel worlds. But how can we regard as satisfactory a model that abandons locality in order to explain phenomena we do not fully understand, involving objects we cannot properly define, within a spacetime whose true nature remains unknown?
Rethinking the Atom: From “Empty Apartments” to Internal Dynamics
The problem does not lie in the universe itself but in the assumptions underlying our models, particularly in the way we conceive particles and fields.
Consider atomic orbitals. They are often imagined as physical tracks occupied by electrons, but they are merely mathematical solutions. A hydrogen atom contains only one electron, yet it possesses infinitely many orbitals. It is like an empty apartment building: the upper floors and apartments always exist as geometric possibilities and energetic rooms, even though the single tenant (the electron) normally resides on the ground floor, the fundamental 1s state.
When a photon with exactly the right energy strikes this tenant, it does not randomly excite an electron. It interacts with the only electron whose energy separation matches the incoming photon. At that point, the electron does not shrink into a smaller or tighter ball. Within the bound world of the atom, more energy means occupying a larger volume. The electron expands into the outer apartments.
The real mystery appears when the electron decides to return to a lower-energy orbital.
The Trap of Nonlocality and the True Meaning of Entanglement
Classical physics tells us that an accelerating charge emits electromagnetic waves. During a quantum transition, the wave corresponding to the initial orbital and the wave corresponding to the final orbital overlap for an infinitesimal fraction of a second, creating an oscillating dipole. The electron cloud vibrates like an antenna and geometrically radiates the excess energy along the plane perpendicular to the axis of oscillation, giving rise to the photon.
If this photon must travel outward, why is it not immediately reabsorbed by the atom’s other electrons?
The answer lies in quantum transparency. The other electrons are effectively deaf to that specific frequency because they possess no available energy levels at precisely that separation. The photon passes through them as though they were not there.
The deeper conceptual difficulty arises when physics, unable to provide a clear geometrical explanation for both the wave-like propagation of the photon and its eventual detection, chooses to abandon locality instead. Locality is the fundamental principle that an event occurring here cannot instantaneously influence an event occurring there. Out of this gap in understanding emerges the popular myth of “quantum telepathy” associated with entanglement.
Yet entanglement is not some ghostly physical connection. It is, more simply, a correlation between quantum states: the probabilistic outcome of measurements performed on systems created together and constrained by strict conservation laws.
If we separate a pair of gloves and send one to Paris and the other to New York, discovering that the Paris glove is left-handed instantly tells us that the New York glove must be right-handed. No superluminal signal has been exchanged. No magic has occurred. What we observe is merely the consistency of the original geometric structure revealing itself at the moment of measurement.
Breaking the Dogma: Yes to Indeterminacy, Yes to Locality
To move beyond this impasse, a third path may be required: redefining the quantum object by reuniting three dimensions that modern physics has largely separated:
- the logic of states,
- the geometry of the metric,
- the internal dynamics of physical structures.
We must challenge a subtle but powerful dogma: the assumption that being “elementary” (indivisible) necessarily means being devoid of internal dynamics.
Contemporary physics models the electron as a dimensionless geometric point, an abstraction that generates the notorious mathematical infinities of quantum field theory. But if we allow a particle to be both elementary and indivisible while simultaneously possessing an extended three-dimensional geometric structure such as a vortex, a knot, or a topological singularity of spacetime itself, many conceptual difficulties begin to dissolve.
- A vortex is not made of parts. It is the underlying medium in motion. It possesses its own internal dynamics, including frequency, spin, and torsion, without requiring smaller constituent components.
- Indeterminacy becomes a genuine geometric property. One cannot simultaneously measure the infinitesimal position and the frequency of an extended vortex because the vortex necessarily occupies a finite volume. Yes to indeterminacy, therefore, but yes also to locality. Geometrical rearrangements remain local and continuous.
The current crisis in fundamental physics is not the end of scientific inquiry but the classic symptom of a paradigm approaching its limits. We have become exceptionally skilled manipulators of statistical equations, yet we have largely abandoned the audacity of ontology: the effort to ask what reality actually is in geometric terms.
The way out of the present deadlock will not come from an even more complicated formula, but from a new, coherent, and ultimately more plausible way of understanding the invisible structures that shape our universe.