The problem of quantum nonlocality is old: measurements on entangled particles correlate instantaneously, although no known carrier can move faster than light. Neighboring works on the archive seek solutions in extra dimensions, quantum gravity, and modifications of spacetime. This paper follows that line of inquiry but goes further: it not only assumes an extended geometry but derives it from Einstein's equations and constructs a concrete dynamics for wavefunction collapse.
The author considers a five-dimensional spacetime with signature (3,2): three spatial and two time dimensions. The metric is a warped product, where the warp factor depends only on the extra time. From the vacuum Einstein equations with a positive cosmological constant, this factor is uniquely determined: it decays exponentially away from the brane. Then a massless field is introduced, which propagates through the bulk and interacts with detectors on the brane. Wavefunction collapse is described by a modified Bohm–Bub model, where the hidden vector is replaced by the projection of this field.
It is shown that an extra spatial dimension does not provide a superluminal shortcut on the brane—ruling it out as a mediator of entanglement. In contrast, the extra time allows a family of null geodesics with zero energy that connect points on the brane with the same coordinate time and arbitrary spatial separation. These trajectories provide instantaneous correlations without signal transmission. A formula is derived for the propagation time through the extra dimension: it is proportional to the distance between detectors and inversely proportional to the speed in the fifth dimension. The main result is the prediction of cross-correlation between two independent pairs of entangled photons. Its magnitude is proportional to the square of the ratio of the intra-pair distance to the inter-pair distance. For a tabletop experiment with a base of 1 m and 10 m, a correlation of order 10⁻² is expected, requiring about 10⁴ coincidence events—achievable with modern photonic setups.
This work differs from neighboring ones in that it does not stop at kinematics or phenomenology but builds a complete dynamical model: the geometry is fixed by Einstein's equations, the field satisfies the wave equation, and collapse is described by deterministic nonlinear evolution. This is the first attempt to derive the mechanism of entanglement from first principles within an extended spacetime. If the predicted cross-correlation is detected, it would be a strong argument for extra time dimensions and would require a revision of the foundations of quantum theory.
The topic could develop in several directions: a rigorous proof of convergence of mode sums, analysis of the stability of the two-time background, derivation of a microscopic model of the source that would reproduce the singlet structure of entanglement. A separate task is to show that arbitrary initial distributions of contextual variables relax to Born equilibrium, analogous to the H-theorem in Bohmian equilibrium.
The results could affect the interpretation of quantum mechanics, quantum information theory, and experimental optics. The proposed cross-correlation test does not require violating Bell inequalities between independent photons and is accessible today.
The immediate next step is to set up an experiment with two spontaneous parametric down-conversion sources at variable distance and accumulate sufficient coincidence statistics. In parallel, the source model needs to be refined to obtain an explicit form of the correlation function and compare with the prediction (ℓ/d)².
This work is directly related to the unresolved problem of quantum nonlocality: how to explain correlations without superluminal signaling. It also touches on the origin of Born probabilities and the role of contextuality in wavefunction collapse. More broadly, it is an attempt to reconcile quantum mechanics with a geometric description of causality.
This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.
What the work does
The paper proposes a model in which quantum entanglement is explained by the propagation of a massless field through an extra temporal dimension in a five-dimensional spacetime with signature (3,2). The geometry is fixed by the vacuum Einstein equations with a positive cosmological constant, and the collapse of the wave function is described by a modified Bohm–Bab model. The main prediction is a cross-correlation between two independent pairs of entangled photons, which can be tested in a tabletop experiment.
Where its strength is
The strength of the work lies in building a complete dynamical model: from the Einstein equations to a concrete experimental prediction. This allows not just postulating extra dimensions but testing their observable consequences.
Where it could go next
Worth trying
Why this may matter
If the proposed model is confirmed experimentally, it would mean that quantum nonlocality has a geometric nature and that extra temporal dimensions are a real part of the physical picture of the world. This would require a revision of the foundations of quantum theory and could open new directions in quantum gravity and cosmology.
Nearby works in our archive
The closest work in the archive sits at 0.68 by meaning — the usual level for our corpus.
In the Bohm–Bub model, wavefunction collapse occurs over a finite time determined by the parameter γ. If this parameter were too small, measurements would take forever; too large, quantum systems would collapse on their own. Existing experiments constrain its value, but the exact magnitude remains unknown.
The idea of extra time resonates with Greg Egan's novel 'Schild's Ladder,' where physicists discover a new fundamental structure of spacetime that changes our understanding of causality. The series 'Dark' also plays with multiple time dimensions, albeit in a different vein.