Nearness through an extra dimension

TL;DR

Addresses whether apparent nonlocal interactions can arise if our universe is a thin, trapped $5$-dimensional shell. Uses a 5D Einstein-gravity framework, deriving a localized metric around the shell with $F(R,t)=1+k x^2$, $G(R,t)=1/(1+k x^2)$ and a decaying transverse factor $c(x)$, showing the shell can be stabilized by a large cosmological constant. Finds that signals can traverse the fifth dimension rapidly, e.g., for parameters $k csim R_{GUT}^{-2}$, $x csim 15 R_{GUT}$ and $L csim 100$ Mpc, giving $t capprox 2.5 \times 10^{-10}$ s, suggesting near-instantaneous correlations on cosmological scales. Proposes reinterpreting action-at-a-distance phenomena as ultrafast interdimensional propagation, while acknowledging potential limitations, boundary effects, and the need for deeper mathematical treatment.

Abstract

It is shown that if our visible universe is a thin trapped shell in a five-dimensional universe, all matter in it may be connected almost instantaneously through the fifth dimension. What appears to be action at a distance is then understood as undetectable ultrafast communication.