Murphy, now an adult, has been assisting Dr. Brand with his research. On his deathbed, he admits to her that he solved the equation long before and deemed Plan A impossible, and that he lied to everyone, pinning his hopes on Plan B. Murphy notifies Amelia of her father's death, then accuses her and Cooper of abandoning Earth. She continues the research, believing Plan A might work if they could get more data regarding Gargantua's singularity.
With limited fuel, Cooper decides to go to Mann's planet, rather than Edmunds', as Mann has been transmitting. After being revived from cryosleep, Mann assures the crew that while the frozen planet has an ammonia-laden atmosphere, the planetary surface is fit for human survival. However, when they are alone, Mann attempts to kill Cooper, revealing that he falsified the data so he would be rescued. Mann then flees, intending to take the Endurance. Meanwhile, Romilly is killed by a booby trap Mann had set inside his own robot.
Amelia rescues Cooper, and they race to the Endurance, where Mann is attempting to dock. Mann defies Cooper's order not to open the airlock, which fails catastrophically. Mann is killed and the Endurance is severely damaged. Cooper manages to use the landing craft to stabilize the ship. Using Gargantua's gravity as a slingshot, they set the ship on course to Edmunds' planet; but being close to a black hole, 51 years would pass on Earth.
To shed weight, Cooper jettisons himself and TARS into the black hole, so that Amelia and CASE can complete the journey. Cooper and TARS plunge into the black hole, but emerge in a tesseract, which appears as a stream of bookshelves; with portals that look out into Murphy's bedroom at different times in her life. Cooper realizes that the tesseract and wormhole were created by fifth dimensional beings (human beings) from the future to enable him to communicate with Murphy through gravitational waves, and that he is her "ghost". They built a 3 dimensional space within their 5 dimensional space so that he can better understand it. These beings have access to infinite time and space but they couldn't communicate with people in the world.
The only scientific thing that can cross dimensions like time and space is gravity. You can exert a force across time and space, use gravity to send a message. Gravity can cross dimensions including time. But there is another thing. Love. It can transcend time and space. Time can stretch and bend but it cannot go backwards. But within this 5 dimensional space, Cooper was brought back in time when Murphy was still a little girl.
He relays quantum data that TARS collected from the black hole in Morse code by manipulating the second hand of a watch he gave to Murphy before he left. But it was a big risk because Cooper was only able to reach out to Murphy when she was a 10-year old girl. And she wouldn't know it was him from the future, from space. Even if she did, the significance of what he was communicating to her wouldn't be apparent to her until many years later.
However, Cooper knew that she would come back to get the watch, that one day she would finally understand that the 'ghost' was her father. His connection with Murphy was love and love transcends space and time. Murphy was so happy to know her dad didn't leave her to die on earth. That it was him, all this time, it was him trying to get to her. Murphy then uses the quantum data to solve the remaining gravitational equation regarding Plan A, and saved the world from impending doom as a result.
Wow this is even more awesome!
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