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Lagrangian Extensions of Newtonian Gravity constrained by Solar System tests

Announce Type: cross Abstract: We explore an extension to Newtonian gravity through a generalised Lagrangian function with the introduction of a second dynamical scalar field. Building on previous research into gravity with variable gravitational coupling, the work derives the complete field equations and applies a weak-field approximation. This leads to an effective post-Newtonian gravitational potential that includes key aspects of relativistic theories.

arXiv Physics 6d ago

Discovering Misconceptions and Misunderstandings From Administrations of Research-Designed Multiple Choice Instruments

arXiv:2606.08986v1 Announce Type: new Abstract: Misconceptions are "alternate hypotheses" that are incorrect according to established theories of how the world works. Often held with confidence by students, they are relatively context-insensitive, can seem like common-sense views, and are noted for being resistant to remediation using traditional instruction. To find misconceptions in Newtonian mechanics, we analyze ~34,000 administrations of the pioneering Force Concept Inventory using a...

arXiv Physics 1d ago