Redirect hiding URL

[Xeel]

Hi
I'm pretty out of ideas in this matter. What I want is to somehow redirect from a controller php class to a php page without altering the url. I'm not a pro in php and maybe missing something. In Java it's done pretty easily using RequestDispatcher, but I know that in php the API is rather limited for this kind of functionality.

My controller model:
- each page contains an eXec parameter that carries a key for path forward so I know what class to execute and where to go go next;
- the controller contains an array with keys and class constructors, session validation, etc. and header() in the end;
- each class extends an interface to inherit the same function which is overloaded in each class where some data processing is made before loading next page;

Just to make myself clear, here are the files examples:

main controller:

<?php
//MAIN CONTROLLER >>
require_once("classes/AppInterface.php");
require_once("classes/app_Null.php");
require_once("classes/app_Exit.php");
require_once("classes/app_Login.php");
//...

session_start();
$eXec = isset($_REQUEST["eXec"])?$_REQUEST["eXec"]:"app_logout";
if(isset($_SESSION["sid"]) && $_SESSION["sid"]==1){
    $eXec = "app_logout";
}

$nextA = array(
   "web_indexp" => new AppNull("login.php"),
   "app_logout" => new AppExit("login.php"),
   "app_ulogin" => new AppLogin("usher_search.php")
   //...
);

$appc = isset($nextA[$eXec])?$nextA[$eXec]:$nextA["app_logout"];
$_SESSION["cPage"] = $appc->execF($_REQUEST);

header("Location: pagex.php");
?>

interface:

<?php
interface AppInterface{
    public function execF($req);
}
?>

a processing command class example:

<?php
class AppNull implements AppInterface{
    private $nextPage;
    
    public function AppNull($eXec){
        $this->nextPage = $eXec;
    }
    
    public function execF($req){
        return $this->nextPage;
    }
}
?>

pagex.php standart container:

<?php
session_start();
include("includes/header.php");
include("includes/title.php");
include("pages/".$_SESSION["cPage"]);
include("includes/footer.php");
?>

What I hate is "mySite/pagex.php" part, I just want ti see "mySite"

I do not want to radically change the flow model so I have to find some solution that just slightly alters it.

Any ideas?