The reason I can keep producing articles that agree with me, but you can’t, is that I am correct.

Conservation of momentum is a fundamental law of the universe. The earth and every object on it have a large momentum with velocity perpendicular to the axis between the earth and the sun. That momentum can’t just disappear. For an object moving in a stable orbit to transition into a collision course, the momentum carrying it sideways, away from collision, must be counteracted, or else it will continue to do what it was already doing: orbiting instead of colliding. It’s Newton’s first law.

It has nothing to do with how fast you get to the sun. It’s about getting to the sun at all. Whether in 1 year or 100,000. Say you give an object the small nudge you keep talking about. Cancel just a little of the sideways velocity, and the object will veer a little bit toward the sun… then pass it at a slightly smaller distance than the original orbit. You’ve turned an essentially circular orbit into a more elliptical orbit. Still not a collision course. Comets can have hugely elliptical orbits, but still without ever colliding with the sun. Cancel more of the sideways motion, and the orbit becomes even more elliptical. It passes closer to the sun at perigee, and farther at apogee, but still doesn’t hit it. The only way it hits is if you cancel so much of the sideways motion that the orbit becomes so elliptical that the distance at perigee is smaller than the radius of the sun. Then the orbit intersects the sun’s surface, and a collision occurs. Which is exactly what I’ve been describing.

You keep talking about putting it into an “unstable orbit.” Fine, such things exist, but the energy to destabilize them still doesn’t come from nowhere. Satellites orbiting the earth can become unstable and fall in due to dragging against the atmosphere. The friction converts the orbital velocity to heat, so you don’t need to use propellant to achieve it, but conservation laws still apply, so the orbital velocity still needs to be lowered by some force for the orbit to change. We are too far from the sun to drag against its atmosphere significantly. Maybe enough to hit the sun in billions of years, if you really don’t mind waiting.

Or, in a system of multiple orbiting objects, like a solar system, you can cancel out some of your orbital velocity and hit the sun by using the gravity of one of the other planets as a brake, robbing the planet of a tiny bit of its momentum to stop your own, satisfying the conservation law. That can also achieve the kind of orbit you want. The solution doesn’t absolutely have to be propellant, but it absolutely cannot rely on free energy, and it can’t be expected to happen by accident. You would still need to carefully arrange your slingshot maneuver with the other planets to cancel your orbital velocity out nearly perfectly, if you wanted your orbit to intersect the surface of the sun, or else you would only ever succeed in merely changing the shape of your ellipse.

You don’t need to cancel the sideways motion at all. You just need to have the slighest motion toward the sun along with our orbital velocity which is being kept from being pulled awa by the suns gravity.

If you have the slightest motion towards the sun along with our orbital velocity, you will move closer to the Sun for one quarter of an orbit, before you start rising again. After half an orbit, you’ll be higher than you were before. The difficulty in impacting the sun has little to do with the earth being here—even it it disappeared, the cost of getting to the sun would be basically the same

we don’t care about a stable orbit or getting to the sun quickly at all.

The stability of the orbit is largely irrelevant. Anything near 1 AU is not likely to decay to the point where it impacts the Sun before the sun becomes a red giant and expands past the Earth’s orbit. At that point, you can just leave your enemies on Earth and be assured that they will eventually fall into the sun in around 5 billion years