In a recent recoiling‑slit experiment (Pan et al., Phys. Rev. Lett. 135, 123601, 2025), interference contrast is observed to increase with the momentum uncertainty of a trapped atom acting as a movable slit. Standard quantum mechanics interprets this as a consequence of photon‑atom entanglement. In the XLG cosmology we propose a purely local picture. A photon is a queue of bubbles (an S‑shaped wave) propagating in the KuiQuark sea. The trapped atom creates a local bump in this sea. When the bump is sharp (atom well localised, small momentum uncertainty), the bubble queue is desynchronised and interference disappears. When the bump is smooth (atom delocalised, large momentum uncertainty), the queue remains synchronised and interference reappears. The critical momentum uncertainty is predicted to be Δp_c = ε² ℏ/λ, with ε = 1/137, in agreement with the observed scale. No wave‑function collapse or non‑local entanglement is invoked; the entire mechanism is local and mechanical.
Resolving the Quantum Measurement Problem via 5D Geometry This paper is the second installment in the "Time-Delay Field" (TDF) theory series. Following the foundational work in "Emergent Wave Mechanics" (DOI: 10.5281/zenodo.18685669), we apply the 5D null geodesic framework to solve the longstanding "Measurement Problem" in quantum mechanics. Abstract:The instantaneous collapse of the wave function upon observation remains an unresolved paradox involving ill-defined concepts like "observers." We resolve this paradox within the TDF framework. By modeling particles as 5D null geodesics, we demonstrate that any measurement process necessarily involves a momentum transfer
Δpμ in 4D. Due to the geometric constraint of the 5D null metric (
PAPA=0), this 4D momentum kick forces a compensatory shift in the delay dimension momentum, resulting in a stochastic phase shift ("phase kick"). We show analytically that this mechanism randomizes the geometric phase, washing out interference terms. Thus, wave function collapse is derived as a deterministic, local mechanical process of "phase-momentum coupling" in the 5D bulk, eliminating the need for subjective observers. Key Contributions: Mechanical Collapse: Proves that "measurement" is simply a momentum transfer that scrambles the extra-dimensional phase. Derivation of the Born Rule: Shows that probability (
∣ψ∣2) arises from the conservation of 5D trajectory flux. No "Spooky" Action: Replaces non-local jumps with local geometric interactions in the delay dimension. Experimental Consistency: Aligns with recent symmetry-dependent timing experiments (Guo et al., 2026). Keywords: Measurement Problem, Wave Function Collapse, Decoherence, Time-Delay Field, 5D Geometry, Born Rule, Quantum Foundations, Objective Collapse.
A type of mechanics will be presented that possesses some distinctive properties. On the one hand, its physical description & rules of operation are readily comprehensible & intuitively clear. On the other, it fully satisfies all observable predictions of non-relativistic quantum mechanics. Within it, particles exist at points in space, follow continuous, piecewise differentiable paths, and their linear momentum is equal to their mass times their velocity along their path. Yet the probabilities for position and momentum, conditioned on the state of the particle's environment, follow the rules of quantum theory. Indeed, all observable consequences of quantum theory are satisfied; particles can be entangled, have intrinsic spin, this spin is not local to the particle, particle identity can effect probabilities, and so forth. All the rules of quantum mechanics are obeyed, and all arise in a straightforward fashion. After this is established, connections will be drawn out between this type of mechanics and other types of quantum worlds; those that obey Bohmian mechanics, stochastic mechanics, the many worlds interpretation, and physical collapse. In the final section, a relativistic version of the mechanics will be presented.