~~Jack~~
"Consider a glass cage, my love, and within, a glowing sphere bounces up and down. The cage holds the sphere perfectly still on the horizontal plane, forcing the sphere to remain locked on its vertical path. It bounces at the speed of light, which, as you know, is the limit matter may travel. No faster. 299,792,458 meters per second."
Jack nodded, eyes wide and engaged as he watched Antoinette. Understanding the world in terms of special relativity was always a troubling mental exercise, but it was one he'd taken a few shots at when he was younger, and he knew Antoinette likely had as well. Course, her 'younger' would have been when Einstein suggested the theory, and Antoinette, forever looking to the future, would have added the hypothesis to her list of key scientific theories to understand.
He smiled as he listened to her, half absorbing the knowledge and trying to wrap his mind around it, half admiring the way her lips moved, and how damn good she looked in that business suit.
"This cage begins to orbit you at a great distance, and in this hypothetical, you are able to see and monitor it instantly; do not worry for the nuances that light must reach your own eyes in reality, as we ignore that in this hypothetical. As you watch, the cage orbits you faster and faster."
"But... if the speed of light is the fastest something can move, then... isn't this example violating that?"
Her own smile grew. "How so?"
"Because, if the ball is going up and down at the speed of light, and it's rotating around me, then... Pythagorean theorum, you know? The ball would have angled paths that would be a combination of its bouncing speed, and the orbiting speed. It'd be moving faster than the speed of light on an angle."
A twinkle danced in Antoinette's eye, and she leaned forward, elbows on the glass table of her office. "Exactly. But the law cannot be violated. The bouncing sphere will have to slow the speed of its bouncing, so its angled velocity will always have a total velocity of the speed of light."
"I could literally watch time slow down and the bouncing ball slow down too, the faster the glass cage moved around me?"
She nodded again. "The infamous time dilation. This example is crude, filled with hypotheticals and caveats, but functional."
He leaned back in his chair and buried his chin in his palm. He was next to her, at the table in her big office at the top of the tower, and also dressed in a business suit. They were having a Primogen meeting later, and he was invited, both to speak of details of what happened during his attack on the hunters, but also to speak for Azamel and Avery.
The meeting wasn't for another hour though, and he was free until then.
"But, now I'm all confused. What if two people were zooming past each other at high speeds? Do they both see each other as aging slower? Sounds like a paradox."
"And that is where the hypotheticals and caveats betray us. With them, we are discussing scenarios that simply cannot be measured. If two individuals flew past each other at great enough speeds to notice such a thing, they could not see any paradox, due to perspective, and the vary nature of the speed of light being the limiting factor in how we perceive each other. There is simply no way for both parties to be able to compare their experiences instantaneously. Any and all forms of communication would suffer the very same time dilation you are attempting to measure." She sighed and shook her head. "It is forever mentally taxing, is it not? Down this rabbit hole, and suddenly, you realize your very experience of existence itself is subject to the whims of the materials of the universe."
"I have heard some mathematicians go mad."
She laughed and shrug. "Understandable."
"Wait, so, if I left Earth at a super high speed, I'd see the Earth as aging slower, and an observer would see me on the ship, aging slower?"
"Yes, but again, that measurement cannot be made."
"But, if I turned around, and came back at a high speed until I was face-to-face with whatever observer was on Earth, then... I'd have created a paradox, where both me and the observer expect to find each other aged slower? Because I'm flying away super fast, the observer sees me age slowly, but to me, they're the one flying super fast away from me, and they're aging slowly. I fly back, same effect occurs. Me and observer both see each other as having aged slower than the other?"
"No, because your journey had two elements to it. Flying away, and flying home. Two different measurements, that create a different skew of the flow of time, not unlike two sides of a triangle being compared to another, single side, the side of the observer whose initial frame of reference did not change, while yours did."
Jack dropped his forehead onto the table, and started gently sliding it back and forth so it bumped along. "Ugh, ok, so... if... I'm flying away, and the observer sees me taking a trip that takes a year to reach my destination. Observer knows that, while he saw it take a year, from my perspective in the spaceship, it took less. In my perspective, a year hasn't gone by yet... let's say a three quarters of a year went by, for me to arrive at a distant planet. Then I fly back, and... but... in my perspective, I'm thinking the observer is aging slower than me, and--"
"Except, in this problem, your frame of reference remains the Earth. You must adjust your coordinate system in two separate circumstances if you are to measure and consider this problem from the point of you, the person in the space ship, but normally your reference point should remain unchanged through this hypothetical dilemma. You accelerate away from the earth, and then accelerate toward it to return home. Even if you changed the point of reference to be your space ship, and it was the Earth moving away from you for the first half of your journey, you would then be the one that has to catch up to the earth, speeding away from the reference point you original chose. Your point of reference would be your original vector, a vector you leave behind on the return trip. It would not simply follow you, because while velocity is relative, acceleration is not. We can objectively assume that you have left your frame of reference halfway through the journey, or arrived at it, depending on how you measure it, because we can measure the acceleration you used to create that change."
Jack just stared at her. "... you are so hot right now."
Laughter filled the room, sweet, delicious, and a touch husky. After a time, she smiled at him and rolled her eyes. "I could wear glasses, if you would like? It has been some time since I have dressed as a sex-starved librarian for my pets."
Jack choked on another laugh. "Ashley and Julee are into that?"
"Are not we all? A quiet, intelligent woman, with a grand reservoir of knowledge, who desperately hungers for a frequent outlet for her large, endless sexual desires?"