Simon Maher’s research while affiliated with University of Liverpool and other places

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Publications (2)


Figure 1. An illustration of the vacuum polarization postulate for two states: unpolarized state (with overlapping charges) and polarized state (when an external electric field is applied).
Figure 4. One-dimensional schematic diagram showing delta function and gradient of delta function. Horizontal axis has been exaggerated and the value of both curves has been arbitrarily adjusted for illustrative purposes.
Instantaneous Action at a Distance and the Principle of Locality, a new Proposal about their Possible Connection
  • Preprint
  • File available

May 2024

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61 Reads

Qingsong Li

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Raymond T. Smith

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Simon Maher

The interaction of matter when separated by a distance is a fundamental question, whether such interactions occur through instantaneous action at a distance or retarded interaction (principle of locality)? While the mainstream consensus favors the principle of locality, instantaneous action at a distance offers certain advantages. Previously, instantaneous action at a distance has been viewed as an appearance or representation from specific gauge choices of electromagnetic potentials (retarded). In this paper, we propose a novel approach that combines Weber’s electrodynamics with the concept of vacuum polarization to explore a new possible connection between the two viewpoints: instantaneous action at a distance and the locality principle. This new approach aligns with the observation of locality in signal/energy propagation while retaining the notion of instantaneous action at a distance.

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Figure 1. An illustration of the vacuum polarization postulate for two states: unpolarized state (with overlapping charges) and polarized state (when an external electric field is applied).
Figure 2. Sketch illustrating how charge Q exerts an instantaneous force on charge q in empty space, which causes it to react immediately.
Figure 3. Sketch illustrating some of the charge interactions within a polarized vacuum. Charge Q exerts a force í µí°¹ ⃑ on charge í µí¼Œ í µí±‘í µí±£ in the vacuum, while positive-negative charge pairs (í µí¼Œ í µí±‘í µí±£, í µí¼Œ í µí±‘í µí±£)
Figure 4. One-dimensional schematic diagram showing delta function and gradient of delta function. Horizontal axis has been exaggerated and the value of both curves has been arbitrarily adjusted for illustrative purposes.
Instantaneous Action at a Distance and the Principle of Locality, a new Proposal about their Possible Connection

April 2024

·

76 Reads

The interaction of matter when separated by a distance is a fundamental question, whether such interactions occur through instantaneous action at a distance or retarded action at a distance (principle of locality)? While the mainstream consensus favors the principle of locality, instantaneous action at a distance offers certain advantages. Previously, instantaneous action at a distance has been viewed as an appearance or representation from specific gauge choices of electromagnetic potentials (retarded). In this paper, we propose a novel approach that combines Weber’s electrodynamics with the concept of vacuum polarization to explore a new possible connection between the two viewpoints: instantaneous action at a distance and the locality principle. This new approach aligns with the observation of locality in signal/energy propagation while retaining the notion of instantaneous action at a distance.