Can this ship exist within our current laws of physics?

I'm an aspiring author, aiming to determine the physical realism of certain fictional concepts within a constructed universe identical to our own. There are many contingent ideas which I must explain first, in order for the question to be fully asked, so if you are willing to bear with me, then please read on.

So, given the following (in very broad terms):

1. A space faring ship divided in two primary structures, designed to accommodate between 9,000 - 12,000 individual humans in a conscious and active state at any given time.
2. The first structure houses essentials for sustaining life and provides these to the secondary structure, where the humans are housed. They are attached to one another through key pivotal points.
3. The secondary structure is a planet-like sphere approximately 900 kilometers in diameter. It rotates at a high speed in order to create artificial gravity, and counteract the speed at which the craft travels, which is 32% the speed of light in a single direction (95933586 m/s), such that the effects of this speed will not be felt by the occupants.
4. Life exists in this biosphere like an inverse planet, much like in the image provided, but on a larger scale that is meant to practically support small and medium sized structures, and provide Earth-like gravity. The rotation is supported by two axis points that are also the pivotal attachment points as mentioned in point 2.

source: http://www.androidcoliseum.com/2013/09/how-to-take-inverted-tiny-planets-from.html

5. The ship is designed to travel for at least 21,000 years.
6. The ship and human technological capabilities is based in a time between 150 and 250 years from the current year (2017).
7. The ship is equipped with the ability to create and sustain magnetic fields that are 'multi-spectrum' i.e. capable of affecting (attracting and repulsing) some materials that are not ferromagnetic.
8. The first primary structure provides power, heat, renewable supply, renewable sustenance, recycling of waste etc. It is a highly optimized and almost perfectly efficient sustainable system.

The highlighted points are what I need help in realizing/understanding/applying to this concept. They are also subjects in which I do not possess enough scientific knowledge to fact check, like how centrifugal/centripetal force interact with gravity in relation to mass of an object. There are many interrelated properties that need to be harmoniously balanced for this to be possible, if at all, e.g. size of the structure, its maximum speed in relation to spin of the secondary structure etc.

If it is the case that this is possible, then how would each aspect need to be balanced if I want to prioritize speed over any other factor (population size, longest possible travel time etc.)? If this is not possible, what is the closest alternative that is similar to the suggested concept i.e. a self-sustaining man made biosphere that can travel at a high-speed in any one direction for more than a thousand years?

Thank you kindly for your time and patience, I greatly appreciate it. Please feel free to explain and elaborate on all the topics that I have attempted to understand, and know that I'm well aware of my possible misunderstandings of how physics works. I'm here to learn!

posted over 6 years ago

T.Citizen‭

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