Keep going. There is nothing wrong with this reasoning yet. A finitely massive point source can only ever emit finitely many photons of a particular energy.not my name said:Suppose that a point is rapidly emitting photons at random directions every set interval. Of course there are finite photons in that point, right?
Intensity is power per area. As area goes to zero the intensity becomes infinite, even with a single photon and thus small finite power.not my name said:Suppose that a point is rapidly emitting photons at random directions every set interval. Of course there are finite photons in that point, right?
You do realize there are no real point sources, correct?not my name said:I mean, if a point light source emits light omnidirectionally, the intensity converges at the source, right?
(Quote source: https://en.wikipedia.org/wiki/Point_particle#)Even if an elementary particle has a delocalized wavepacket, the wavepacket can be represented as a quantum superposition of quantum states wherein the particle is exactly localized. Moreover, the interactions of the particle can be represented as a superposition of interactions of individual states which are localized. [...] It is in this sense that physicists can discuss the intrinsic "size" of a particle: The size of its internal structure, not the size of its wavepacket. The "size" of an elementary particle, in this sense, is exactly zero.
For example, for the electron, experimental evidence shows that the size of an electron is less than 10−18 m.[7] This is consistent with the expected value of exactly zero.
The inverse square law in Newtonian gravity is important because it explains the relationship between the force of gravity and the distance between two objects. It states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This law helps us understand the motion of celestial bodies and is the basis for many calculations and theories in astrophysics.
The mathematical equation for the inverse square law is F = G(m1m2)/r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. This equation shows that as the distance between two objects increases, the force of gravity decreases exponentially.
The inverse square law is a fundamental law of physics that applies to any force that follows a radial pattern, meaning it acts in a straight line from a central point. This includes not only gravity, but also electrostatic forces, radiation, and sound waves. In all of these cases, the intensity of the force decreases as the distance from the source increases, following the inverse square relationship.
Isaac Newton discovered the inverse square law by observing the motion of planets and their moons. He noticed that the force of gravity between these celestial bodies decreased as the distance between them increased. He then conducted experiments and used mathematical calculations to confirm this relationship, which became known as the inverse square law.
There are some cases where the inverse square law does not apply, such as when objects are very close together or when there are other forces at play. For example, when two objects are in contact, the force of gravity between them is not inversely proportional to the square of the distance. Additionally, the inverse square law does not apply to the force of gravity between objects that are very small or very far apart, as the effects of relativity and other forces become more significant.