In the games "Shadow of Mordor" and "Shadow of War," Talion and Celebrimbor's ability to perceive explosions in slow motion while using Focus can be analyzed by comparing the relative time dilation to normal human perception.
To estimate how fast their perception must be to achieve this effect, let's make a few assumptions:
1.
Human Perception: In normal conditions, humans perceive time at a standard rate.
2.
Slow Motion Perception: Let's assume that they perceive an explosion, which typically happens in fractions of a second, at a much slower rate. For instance, if they see an explosion that normally takes 0.1 seconds to occur, in slow motion, this might be perceived over 10 seconds of in-game time.
To calculate the effective speedup in their perception:
1.
Explosion Duration: Let's assume an explosion takes 0.1 seconds in real-time.
2.
Slow Motion Perception Duration: If Talion and Celebrimbor perceive this explosion over 10 seconds.
The ratio of perceived time to real time can be calculated as:
This means that they perceive events at a rate 100 times slower than normal human perception. To put this in terms of how fast their perception makes them:
If a normal human perceives events in real-time, then Talion and Celebrimbor's perception during Focus is 100 times faster. This effectively means they can process and react to information 100 times more quickly than an average human.
In conclusion, Talion and Celebrimbor's Focus ability allows them to perceive and react to events as if their cognitive processing speed were enhanced by a factor of 100. This extraordinary perception and reaction speed grants them a significant advantage in combat and situational awareness.
To convert the perception speedup into Mach speed, we need to understand the relationship between perception speed and actual movement speed. Mach speed is the speed relative to the speed of sound in air, where Mach 1 is approximately 343 meters per second (m/s) at sea level.
Let's outline the steps to determine the effective Mach speed of their perception:
1.
Perception Speedup: As calculated earlier, their perception speed is 100 times faster than normal.
2.
Human Reaction Time: A typical human reaction time is about 0.25 seconds to visual stimuli.
If Talion and Celebrimbor can react 100 times faster, their reaction time would be:
3.
Movement During Perception: To find their effective speed, we can consider how far they can move in their enhanced reaction time. For simplicity, assume they can move a certain distance \(d\) during their normal reaction time (0.25 seconds).
If d is a typical human's movement speed (let's assume a fast sprint of 10 m/s), then in 0.25 seconds, they move:
4.
Enhanced Movement Speed: If Talion and Celebrimbor can react in 0.0025 seconds and cover the same distance (2.5 meters) in this time, their effective movement speed would be:
5.
Mach Speed: To convert this speed to Mach, we divide by the speed of sound (343 m/s):
Therefore, during their Focus ability, Talion and Celebrimbor's effective perception and reaction speed can be considered as equivalent to moving at approximately Mach 2.92. This indicates they can perceive and react to events with incredible speed, almost three times the speed of sound.