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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Relativistic Dynamical Localized Wave Packet Theory: Coherence-Structured Scalar Field Dynamics

Authors: Amankwah, Eric Aboagye;

Relativistic Dynamical Localized Wave Packet Theory: Coherence-Structured Scalar Field Dynamics

Abstract

This work establishes a Lorentz-invariant relativistic scalar extension of the Dynamical Localized Wave Packet Theory (DLWPT) by formulating a deterministic field ontology directly within spacetime. By utilizing a coherence-scaled Lagrangian density, the framework derives equations of motion and energy-momentum structures where physical attributes such as mass, localization, and inertial response emerge from the intrinsic coherence stiffness of the field rather than from independent postulates or point-like particle identities. A central feature of this construction is the natural emergence of preferred momentum and energy scales that act as a dynamical ultraviolet regulator, suppressing arbitrarily high-frequency excitations while strictly maintaining Lorentz covariance. The theory reinterprets the standard wave function as a representation of information density and field coherence conservation, effectively replacing the probabilistic Born rule with a symmetry-driven conservation law. Furthermore, the framework demonstrates a hierarchical structure where reality operates across nested coherence limits, ensuring that the equations reduce smoothly to both non-relativistic DLWPT and conventional Schrödinger dynamics in the appropriate low-energy limits. This formulation positions DLWPT not as a replacement for relativistic field theory, but as a fundamental reinterpretation that links localization stability and dispersion behavior to a deeper, coherence-based geometric substrate.

Keywords

Nonlinear quantum dynamics, theoretical physics, relativistic quantum mechanics, coherent field structures

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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