The Vlasov bivector: a parameter-free approach to Vlasov kinematics

Finlay Gunneberg, Jonathan Gratus, Harvey Stanfield · 2026

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Description

Gunneberg, Gratus, and Stanfield recast plasma theory in this physics paper from twenty twenty-six. Vlasov theory tracks how a cloud of charged particles flows through space and velocity together. Standard versions fix a choice of phase space up front, which bakes in a clock for the equations. That choice can block light-like or faster-than-light paths.

The authors replace the usual flow field with a paired object, a bivector, on a wider bundle. The new version needs no preset parametrization. It handles light-like particles, odd connections, and even theories without a metric. They also derive a simple rule for moving between phase spaces without changing particle paths. Numerical plasma codes may gain wider reach from the scheme.

Catalog record

CREATORFinlay Gunneberg, Jonathan Gratus, Harvey Stanfield
YEAR2026
COLLECTIONPAPERS
FORMATTXT
FILE SIZE509 KB
VERSION1.0
LICENSECC BY 4.0
RIGHTSCC BY
SOURCEEurope PMC

Source: https://europepmc.org/articles/PMC13152960

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