Last night I rediscovered that, while lying in bed, I can always tell which side I'm facing towards. This is because, even if the room is dark and my eyes are closes, I have an innate ability to tell my left side from my right side.
That got me interested in if things were otherwise. What about a world where people cannot tell their 'left' from their 'right'? I am interested in how that world is different from ours. The reason is unimportant but here are two of my two favourites.
The difference is internal: As a species they never evolved to notice the intrinsic difference between two orientations. Much like how real humans never evolved the natural ability to distinguish between different levels of ambient radiation in the environment.
The difference is external. The geometry of the spacetime they live in is such that there is no intrinsic difference between 'left' and 'right'. I'm thinking something modelled similar in principle to 3-dimensional projective space $\mathbb{PR^3}$. That space is invariant by the reflection $x \mapsto -x$. Except these people live in a space that's invariant under all reflections.
How do the people in this world behave differently to us? How did they evolve? How do they build their roads and houses? What are the risks and solutions of getting lost on a stroll in the woods or the city? Where do the knives and forks go at the dining table. How does sound, colour and hearing work> How does writing work without an orientation?
This is of course an extremely broad question. But also a fascinating one.
Edit: This question was deemed to broad. I have opened a narrower question here.