Velum

Test Chamber 13: Place portals as shown in the image. Use a portal to move the laser sideways and a time portal to move it into the future. Travel through the time portal (taking damage is acceptable). In the future, rearrange portals so the laser hits the target. Proceed through the door.

Test Chamber 14: First, travel to the present via a time portal. Summon a reflector cube and position it in the present as shown. Use a portal to bring a laser through the first node, then use the reflector cube to direct it into the next two nodes. Travel to the future. Use portals to bring a laser into the present through the time portal, ensuring it passes through the node. Retrieve the reflector cube from the future and bring it to the present. Adjust the present reflector cube to hit all three nodes. If necessary, return to the future to retrieve the future reflector cube again. Finally, position the future reflector cube to reflect the laser into the receiver, completing the chamber.

Test Chamber 15: Start by going through the particle field to the left. Place a portal where the laser hits the wall and a time portal on the opposite wall. Travel through the time portal to the future to bypass the particle field. Proceed to the other side of the room and use another time portal to return to the present, now on the other side of the particle field. Place a portal on the upper wall so the laser hits the first receiver. Return to the future and place a portal on the small wall in the laser room to shoot the receiver. Return to the present; the laser should be hitting the first receiver, powering an elevating platform. Stand on the platform and shoot a time portal behind the node to raise the platform further, allowing you to summon a reflector cube. Place this reflector cube on the lip above the second receiver. Travel to the future. Retrieve the future reflector cube and bring it back to the present by placing a time portal in the laser room. Position the cube to reflect the laser into the second receiver through the node. Now, get to the other side of the particle field without going through it (use existing portals or a time portal). Climb the stairs and use a portal on the upper wall to hit the third receiver. Move the reflector cube onto the switch to complete the chamber.