Hello Physics Forums members! My name is Anthony, first time user of the boards, and wanting to send a friendly hello to everybody! While not a Math wizard, I have a strong grasp on most mathematical and physics concepts and I have a deep fascination of all things Space and Sci-Fi.(adsbygoogle = window.adsbygoogle || []).push({});

Without further ado, I come to you with a mathematical dilemma I'm having for a computer game I'm working on, called Warspace. In this universe, interstellar travel is achieved through a Fold Drive, which of course warps or "folds" space for the ship, reducing linear movement to 0.

The game itself is pretty in-depth with its mechanics, and of course I could completely oversimplify the entirety of the fold drive system and use something like "if you have X drive, then you can move Y light years," but I'd rather formulate an equation that I can use to plug in certain values and calculate a relativistic distance folded based on certain criteria.

The equation itself would solve for fold distance in light years based on several variables, including the mass of the starship in metric tons, the number of wave guides the ship uses, the maximum power rating of each of those wave guides measured in watts, and the percentage of hull that the fold drive occupies, which includes the weight of the wave guides. There are also some rules within the universe that dictate fold distance, including:

- A ship must dedicate at least 20% of its hull (or its displacement in metric tons) to the fold device, which includes wave guides
- A fold drive occupying a larger percentage of the hull can move the ship a greater distance with the same amount of power
- Wave guide configurations work in prime number configurations, but are prone to increasing margins of error beyond seven wave guides
- Gravity wells from nearby stars can cause the fold drive to behave erratically, making a minimum safe distance at least half of the distance of the system's furthest planet (This info doesn't really contribute to a final solution, but it might be relevant)
- A ship that dedicates more hull space to the wave guides and fold device can fold a greater distance with the same amount of power
- While a ship with a larger fold device can move greater distances on the same power, the margin for error also increases, decreasing the accuracy of the fold.

So that about covers it for some of the conditions. I don't know if real-world physics might come into play to help generate a realistic model (probably just a hypothetical model for sanity's sake), and I know this is a tall order, but if I can get a working equation in some spreadsheet models I'm working on, we will have a strong base for our fold-capable ships in the game universe!

If you guys have any questions, comments, concerns, or want to grill me for any noobish things I've done in this post that I'm not aware of, please send those thoughts my way, all input is appreciated!

(If anyone is interested, here are some screenshots from an early prototype of the game. Everything is at a 1:1 scale, meaning you are seeing full-size earth and stars in this pic.)

(Here's a pic of a star up close and personal, to get a feel. That one is the scale of our sun.)

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# Greetings! (And help formulating an equation)

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