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time-dilation

Ai explains how relativistic space travel causes him to age less than those on his home planet, highlighting the personal costs of interstellar travel.

4 chapters across 2 books

The Left Hand of Darkness (1969)Ursula K. Le Guin

Chapter 17

In this chapter, the narrator and Ai undertake a grueling journey across a harsh, volcanic glacier landscape between two erupting volcanoes, Drumner and Dremegole. The narrative explores the physical and psychological challenges they face, including the effects of time dilation on Ai's life, the dangers of the volcanic environment, and their growing mutual understanding and cooperation. The chapter also reflects on the geological and climatological forces shaping the planet, hinting at broader themes of change and endurance.

Redshift Rendezvous (1990)John E. Stith

Chapter 24

This chapter serves as an orientation guide for passengers aboard the spaceship Redshift, explaining how relativistic phenomena manifest at observable speeds due to the ship's unique conditions. It details various effects such as length contraction, Doppler shifts, gravitational red shifts, light bending, mass increase, time dilation, and sonic booms, emphasizing their basis in Einstein's theories of relativity and Newtonian mechanics. The chapter also advises passengers on how to interpret these phenomena and adjust their expectations and schedules accordingly.

Chapter 27

This chapter presents a detailed master plan for the Redshift structure, providing precise measurements and physical parameters such as gravity, radius, and time dilation effects across different floors and levels. It outlines the functional uses of each section, from warp generation to cargo and crew accommodations, emphasizing the interplay of gravitational forces and relativistic effects within the structure.

Chapter 29

This chapter presents a table of fundamental physical assumptions, equations, and constants relevant to the concept of redshift as applied to a spaceship setting. It defines key variables such as the velocity of light on the redshift, pseudo-mass at the ship's center, and gravitational constant, and provides Newtonian formulas for gravity, orbital velocity, escape velocity, and time dilation effects. The chapter concludes with a note on the derivation of the rate-of-time equation from gravitational theory, emphasizing the theoretical foundation behind the redshift concept.