Conjecture on Cosmological Redshift: Action Instead of Velocity, No Need for Dark Energy

At cosmos scale, parameter “Action” would replace parameter “Velocity”. Photon property “$x=ct$ ” is the core of special relativity. Here, it is proposed to use other photon property “$E=h\nu$ ”. By analogy with Lorentz princeps transformation ($x,ct$ ) a so-called “Lorentz-Action” transformation ($E,h\nu$ ) is considered. $\left(\begin{array}{c}\bar{E}\\ h\bar{\nu }\end{array}\right)={\gamma }_{\left(A/h\right)}\left(\begin{array}{cc}1& ？A/h\\ ？A/h& 1\end{array}\right)\left(\begin{array}{c}E\\ h\nu \end{array}\right)$ . Such a transformation keeps Planck constant “h” invariant and for a photon gives: $\frac{\bar{\nu }}{\nu }$