Try opening it from the command line and see what errors pops up
Ah, I see... My GPU doesn't support OpenGL >3.1
Exception in thread "LWJGL Application" com.badlogic.gdx.utils.GdxRuntimeException: OpenGL is not supported by the video driver. at com.badlogic.gdx.backends.lwjgl.LwjglGraphics.createDisplayPixelFormat(LwjglGraphics.java:355)
at com.badlogic.gdx.backends.lwjgl.LwjglGraphics.setupDisplay(LwjglGraphics.java:249)
at com.badlogic.gdx.backends.lwjgl.LwjglApplication.mainLoop(LwjglApplication.java:144)
at com.badlogic.gdx.backends.lwjgl.LwjglApplication$1.run(LwjglApplication.java:126)
Caused by: org.lwjgl.LWJGLException: Pixel format not accelerated
at org.lwjgl.opengl.WindowsPeerInfo.nChoosePixelFormat(Native Method)
at org.lwjgl.opengl.WindowsPeerInfo.choosePixelFormat(WindowsPeerInfo.java:52)
at org.lwjgl.opengl.WindowsDisplay.createWindow(WindowsDisplay.java:253)
at org.lwjgl.opengl.Display.createWindow(Display.java:306)
at org.lwjgl.opengl.Display.create(Display.java:848)
at org.lwjgl.opengl.Display.create(Display.java:757)
at com.badlogic.gdx.backends.lwjgl.LwjglGraphics.createDisplayPixelFormat(LwjglGraphics.java:347)
... 3 more