Since I understand my story and setting have reached a "critical mass of complexity" - too much context information I could ask any human forum user to process quickly enough -
I've consulted ChatGPT.
I just thought some of you might be interested in the results? :D Of course,
no guarantee for accuracy of any of this, since it
comes from an AI.
But currently, it's the best answer I have, so I'm inclined to go with this one.
Strato Incendus said:
I'd also have to describe the colour of the jets as they're enveloping the ship
ChatGPT said:
In summary, a GRB itself would not have a "color" as humans perceive it, but the interaction of gamma rays with the surrounding environment might produce visible effects, likely appearing as a bright, brief flash dominated by blue or white light
It also stated that a lot of the ship's equipment may obviously be damaged by the GRB, too - including the outboard cameras - so the crew might not be able to observe this for long. However, this blue-white flash would be my go-to visual cue for the reader.
Strato Incendus said:
To make this feasible, though, I'd need a 3D model of the three relevant stars in relation to each other: WR104 (source of the GRB in the Sagittarius constellation), Sol, and Teegarden's Star (in the constellation of Aries)
ChatGPT said:
Considering the spatial positions of WR 104, Earth, and Teegarden's Star, the described trajectory of a gamma-ray burst passing through Earth's solar system and then reaching a spaceship near Teegarden's Star 10 years later is implausible. The lack of collinearity between these objects means that a GRB from WR 104 would not sequentially intersect both Earth's solar system and a location near Teegarden's Star.
Since that was what I had feared, I then asked ChatGPT whether the i
ncreasing width of the gamma-ray burst the further it travels might be enough to affect both Earth and Teegarden's Star. I'm including the formulas ChatGPT used for its calculation.
ChatGPT said:
Beam Divergence and Width at a Distance
Angular Beam Width:
Let’s assume a beam width of 10 degrees (a typical, moderate value).
Beam Diameter at Earth’s Distance from WR 104: At 8,000 light-years:
D=2×(8,000)×tan(5°)≈1,400 light-years.
This is the diameter of the beam when it reaches Earth's solar system.
Beam Diameter at Teegarden’s Star’s Distance (8,010 light-years):
After traveling an additional 10 light-years:
D=2×(8,010)×tan(5°)≈1,402 light-years.
The increase in the beam's width over the extra 10 light-years is negligible because the GRB has already traveled a vast distance, and the beam has nearly reached its maximum divergence.
Separation Between Earth and Teegarden’s Star: The distance between Earth and Teegarden’s Star is only 12.5 light-years. This is minuscule compared to the GRB’s beam diameter at 8,000 light-years (~1,400 light-years).
Next, with Teegarden's Star not exactly on the opposite side of WR 104 compared to Earth, I asked
how much longer the GRB would take to affect it, by referencing galactic longitude and latitude. Here, ChatGPT said several millennia, which led me to conclude I was asking the wrong question. Instead,
I focused on the GRB's width again, ending up with this:
ChatGPT said:
The gamma-ray burst from WR 104 does not need to travel any additional distance beyond the solar system to affect Teegarden’s Star, as the GRB’s width already encompasses both the solar system and Teegarden’s Star when it reaches Earth. The immense width of the GRB (~1,000 light-years) at Earth ensures that both locations are affected simultaneously.
This fits the objection another user had a while ago: Fleeing to a star as close as Teegarden's probably isn't going to protect anyone if Earth is in the line of fire of a GRB.
Strato Incendus said:
Somebody here pointed out to me previously how there isn't really a sharp boundary along the edges of the GRB's cone.
But of course, I can engineer the GRB to give Teegarden's Star plot armour. ;) So I asked ChatGPT to do just that:
ChatGPT said:
Step 1: Geometry of the Problem
The gamma-ray burst’s coverage at Earth’s distance forms a circular area with a radius of 700 light-years. The center of this circle (the GRB's axis) must be offset slightly to include Earth but exclude Teegarden's Star.
The offset distance between Earth and the GRB’s center is therefore:
Offset = GRB Radius−Distance from Earth to Teegarden’s Star; Offset = 700 − 12.5 = 687.5light-years
Step 2: Angle of the GRB’s Axis
The angle θ between the GRB’s axis and the line from WR 104 to Earth can be calculated using basic trigonometry. The sine of this angle is given by:
sin(θ) = Offset / Distance to Earth
The distance from WR 104 to Earth is approximately 8,400 light-years, so:
sin(θ) = 687.5 / 8,400 ≈ 0.08185
Using the arcsine function to find the angle:
θ = arcsin(0.08185) ≈ 4.69°
The axis of WR 104’s gamma-ray burst would need to be tilted at an angle of approximately 4.69° away from Earth’s direct line of sight so that Earth is on the outer edge of the GRB’s width and the burst barely misses Teegarden’s Star. This precise alignment would allow the GRB to affect Earth while sparing Teegarden’s Star.
ChatGPT said:
A spaceship located 2.5 light-years from Teegarden’s Star and 10 light-years from Earth would likely not be affected by the gamma-ray burst. Since the GRB’s edge passes through Earth and misses Teegarden’s Star by design, the spaceship’s position outside this narrow overlap region ensures its safety.
This gives me
Plot Outcome Option 1 (GRB angle 4.69°): The ship observes Earth being hit by the gamma-ray burst from 10 light-years away, meaning the GRB happened 10 years ago (in 2465, ship time is 2475). This also means the
ship stops receiving any communication signals from Earth immediately after having observed the burst, assuming it has destroyed the communication infrastructure as assumed in the video from the previous post: Starting in 2465, Earth could no longer send any messages to the ship, so there's nothing to receive for a ship 10 light-years away in 2475.
However, of course it makes for better drama if the ship is almost hit by the GRB itself. ;) So I asked ChatGPT to adjust the angle accordingly without affecting Teegarden's Star.
ChatGPT said:
Offset = R(GRB)− D(Earth-Ship); Offset = 700 − 10 = 690 light-years
[. . .]
sin(θ) = 690 / 8,400 ≈ 0.08214; θ = arcsin(0.08214) ≈ 4.71°
[. . .]
To ensure the spaceship is affected by the GRB while Teegarden’s Star is not, the axis of WR 104’s gamma-ray burst would need to be tilted approximately 4.71° relative to Earth’s direct line of sight. This adjustment shifts the GRB’s center closer to the spaceship, placing it inside the affected region while excluding Teegarden’s Star.
This gives me
Plot Outcome Option 2 (GRB angle 4.71°): The ship and Earth are being hit by the gamma-ray burst simultaneously in 2475. The ship now
continues to receive messages from Earth for roughly the next 10 years, as those messages were sent in between 2465 and 2475. Thus, the
crew could not infer humanity's possible extinction on Earth from the absence of messages from the Sol system; rather, they would have to
assume this possibility based on the fact that they themselves were still hit by the gamma-ray burst, and that the GRB is wide enough to engulf the Sol system, too.
Given that the ship has spherical
water tanks with a diameter of 1 km on both ends, these should provide ample shielding against the GRB. The p
roblem is the sides of the ship, as the GRB with its massive width will most likely engulf it completely, rather than just "hitting" it from behind (in which case it would "hit" the fore sphere of the ship, as it has already turned around to brake).
TL;DR: If ChatGPT's suggestions are accurate (which is indeed a big "If"), I have two plot outcomes to choose from:
Plot Outcome Option 1 (GRB angle 4.69°): The ship observes Earth being hit by the gamma-ray burst from 10 light-years away, meaning the GRB happened 10 years ago. The ship itself is spared.
or
Plot Outcome Option 2 (GRB angle 4.71°): The ship and Earth are being hit by the gamma-ray burst simultaneously in 2475.
Which one would you prefer? Which would you consider "more realistic" in comparison?
(The actual angle of WR 104 towards Earth is currently assumed to be much larger, between 30 and 40°. But I handwave that away by postulating a new and improved telescope in the future, capable of depicting WR 104 more clearly, showing that not only is the angle much smaller, but the two stars are already much closer to collision than we thought in the 21st century, thereby placing the GRB much closer in the future.)
(I've also asked ChatGPT about how far underground you'd have to go to be safe from the GRB on Earth, Mars, the moon etc., but I'll save that for later.

)