What does this research mean for the field?

In Kaluza-Klein theory with one extra compactified spatial dimension, a non-zero phase space curvature and/or shift vector modifies the Heisenberg uncertainty relation and dispersion relation of massive particles, resulting in an effective mass. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To analyze modifications to the dispersion relation and Heisenberg uncertainty relation in a static, spherically symmetric Kaluza–Klein spacetime with one compactified extra dimension.

August 26, 2026ParticlesOpen Access

Modified Dispersion Relation in Kaluza–Klein Theory

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Authors

AHAnna Horváth AWAneta Wojnar GBG. G. Barnaföldi

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Overview

Theoretical analysis reveals modified dispersion relations and uncertainty principles in compactified spacetime, indicating non-zero phase space curvature alters particle effective mass.

Key Points

To analyze modifications to the dispersion relation and Heisenberg uncertainty relation in a static, spherically symmetric Kaluza–Klein spacetime with one compactified extra dimension.
Evaluated Ricci scalar curvatures of spacetime and phase space within the Einstein conformal frame across the model parameter space.
Analyzed the effects of geometric parameters and observer frames on particle kinematics in five-dimensional spacetime.
Identified that the presence of non-zero phase space curvature and shift vectors modifies the standard Heisenberg uncertainty relation for massive particles.
Demonstrated that geometric corrections alter particle dispersion relations, inducing an observer-dependent effective mass.

Cite This Study

Horváth et al. (2026) studied this question.

synapsesocial.com/papers/6a8e9b34451774b83f3b3d59 https://doi.org/10.3390/particles9030087

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August 26, 2026ParticlesOpen Access

Modified Dispersion Relation in Kaluza–Klein Theory

View Full Paper

Ask AI

Bookmark

Authors

AHAnna Horváth AWAneta Wojnar GBG. G. Barnaföldi

Discussion

Member takes

Overview

Theoretical analysis reveals modified dispersion relations and uncertainty principles in compactified spacetime, indicating non-zero phase space curvature alters particle effective mass.

Key Points

To analyze modifications to the dispersion relation and Heisenberg uncertainty relation in a static, spherically symmetric Kaluza–Klein spacetime with one compactified extra dimension.
Evaluated Ricci scalar curvatures of spacetime and phase space within the Einstein conformal frame across the model parameter space.
Analyzed the effects of geometric parameters and observer frames on particle kinematics in five-dimensional spacetime.
Identified that the presence of non-zero phase space curvature and shift vectors modifies the standard Heisenberg uncertainty relation for massive particles.
Demonstrated that geometric corrections alter particle dispersion relations, inducing an observer-dependent effective mass.

Cite This Study

Horváth et al. (2026) studied this question.

synapsesocial.com/papers/6a8e9b34451774b83f3b3d59 https://doi.org/10.3390/particles9030087

View Full Paper

Ask AI

Bookmark