Yasmineh, Salim
(2025)
Recasting Schrödinger’s Cloud-Like Entity within Relativistic Geometry.
[Preprint]
Abstract
This paper revisits Schrödinger’s 1927 concept of a particle as a spatially diffuse "cloud," redefining it as a true spacetime entity equipped with its own intrinsic metric. Each cloud-like entity is structured by constant proper time slices, across which mass density is continuously distributed, while a single world line threading these slices carries all gauge charges. The intrinsic metric is determined by the mass density via a Poisson-like equation, with a Green kernel that exhibits two distinct phases. In the free phase, the kernel has a non-local Coulomb-like form that links every point within the cloud-like entity. During measurement, however, the detector imposes a time-dependent boundary condition, smoothly deforming the kernel into a sharply localized monopole well. This defines a finite "collapse window," during which the wave packet’s width contracts, avoiding singularity and allowing for potential re-expansion if the detector pulse ceases prematurely. The formalism provides specific, testable predictions: mass-dependent localization times (of the order of 10 ps for electrons), reversible loss and revival of interference patterns, gradual decay of Bell correlations, and an ultra-weak, transient metric force on nearby probes. Together, these results offer a deterministic yet non-separable framework that bridges quantum non-locality with relativistic causality.
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