That’s exactly what I meant by “even”. An even gradient is a continuous one that changes at the same rate across the gradient. There is no medium in space in which for the gradient to exist, that’s the defining characteristic of “space”. There’s no way for the heat to dissipate to until it hits something. The atmosphere protects us from the full brunt of the radiation (which still kills people all the time, even the ambient heat can kill if you’re dehydrated enough), without it we’d be fried to a crisp right here on the ground. Idk where in space in between us and the sun this magic safe spot could possibly be when it’s not even fully safe on Earth.
There’s a spot in space where you’ll burn to a crisp because you’re too close to the sun. There’s a spot in space where you’ll freeze. Therefore there must be at least one point in space that’s a comfortable temperature.
And yes, I know there isn’t anything to hear up in space. The thing being heated would be you. And like I said, it’s probably so narrow that you’d have to be spinning so you don’t burn up on one side and freeze on the other. But mathematically, if there’s a spot where you’re too hot and another where you’re too cold and the temperature you experience between them is a continuous function then, by definition, there must be at least one point between them there’s a comfortable temperature.
No, the “spin” thing was just to preemptively get past people who might say something like the point is so small that one side would freeze and one side would burn to a crisp. Because, you know, as humans we are not dimensionless points, lol, we have volume.
That’s exactly what I meant by “even”. An even gradient is a continuous one that changes at the same rate across the gradient. There is no medium in space in which for the gradient to exist, that’s the defining characteristic of “space”. There’s no way for the heat to dissipate to until it hits something. The atmosphere protects us from the full brunt of the radiation (which still kills people all the time, even the ambient heat can kill if you’re dehydrated enough), without it we’d be fried to a crisp right here on the ground. Idk where in space in between us and the sun this magic safe spot could possibly be when it’s not even fully safe on Earth.
I mean continuous like this. https://en.wikipedia.org/wiki/Continuous_function but I think you’re thinking I mean https://en.wikipedia.org/wiki/Linear_function which I do not.
There’s a spot in space where you’ll burn to a crisp because you’re too close to the sun. There’s a spot in space where you’ll freeze. Therefore there must be at least one point in space that’s a comfortable temperature.
And yes, I know there isn’t anything to hear up in space. The thing being heated would be you. And like I said, it’s probably so narrow that you’d have to be spinning so you don’t burn up on one side and freeze on the other. But mathematically, if there’s a spot where you’re too hot and another where you’re too cold and the temperature you experience between them is a continuous function then, by definition, there must be at least one point between them there’s a comfortable temperature.
Ah, I see what your mean. But couldn’t you then argue that you could be at any point in between them, as long as you were spinning fast enough?
No, the “spin” thing was just to preemptively get past people who might say something like the point is so small that one side would freeze and one side would burn to a crisp. Because, you know, as humans we are not dimensionless points, lol, we have volume.