On The 5D Extra-Force according to Basini-Capozziello-Leon Formalism and five important features: Kar-Sinha Gravitational Bending of Light, Chung-Freese Superluminal Behaviour, Maartens-Clarkson Black Strings, Experimental measures of Extra Dimensions on board International Space Station(ISS) and the existence of the Particle $Z$ due to a Higher Dimensional spacetime
Fernando Rego Loup

TL;DR
This paper revisits 5D spacetime theories, refining the equations for extra forces, analyzing gravitational bending, superluminal features, black strings, and proposing experimental detection methods on the ISS and space telescopes.
Contribution
It improves the mathematical formalism of 5D forces, explores superluminal effects, and suggests experimental tests for extra dimensions using current space-based observatories.
Findings
Refined equations for 5D extra force in conformal formalism.
Analysis of superluminal behavior in Chung-Freese brane-world models.
Proposed experimental detection of extra dimensions on ISS, LIGO, and LISA.
Abstract
We use the Conformal Metric as described in Kar-Sinha work on Gravitational Bending of Light in a 5D Spacetime to recompute the equations of the 5D Force in Basini-Capozziello-Leon Formalism and we arrive at a result that possesses some advantages. The equations of the Extra Force as proposed by Leon are now more elegant in Conformal Formalism and many algebraic terms can be simplified or even suppressed. Also we recompute the Kar-Sinha Gravitational Bending of Light affected by the presence of the Extra Dimension and analyze the Superluminal Chung-Freese Features of this Formalism describing the advantages of the Chung-Freese BraneWorld when compared to other Superluminal spacetime metrics(eg:Warp Drive) and we describe why the Extra Dimension is invisible and how the Extra Dimension could be made visible at least in theory.We also examine the Maartens-Clarkson Black Holes in 5D(Black…
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