Gravity and the inverse square law: the lingering doubt
Why does gravity follow the inverse square law? An old controversy that questions the constant G and the lack of direct verification.
English · Original discussion in Spanish · Published
The shadow of doubt over Newton's law
In the early 21st century, in a corner of the internet, someone asked why gravity weakens exactly with the square of the distance. The question, which seems simple, unleashed a storm of answers ranging from the mathematical explanation to conspiracy theory. Newton's law of universal gravitation, formulated in 1687, states that the force is proportional to the product of the masses and inversely proportional to the square of the distance. But why the square and not some other exponent? The technical answer lies in Laplace's equation: in three-dimensional space, the divergence of the gravitational field requires a 1/r² dependence. Skeptics point out that the constant G (6.67×10⁻¹¹ N·m²/kg²) was derived from Earth's acceleration (9.8 m/s²) without direct experimental verification using sufficiently large masses.
The debate between rigor and skepticism
The academic consensus holds that Cavendish's experiment in 1798 already measured G accurately, and that orbital observations confirm the law at astronomical scales. Moreover, Einstein's general relativity extends the model without contradicting it. On the other hand, a skeptical faction argues that the law is accepted by convention, that the attraction between two laboratory masses has not been measured with enough precision to rule out deviations, and that mixing concepts between waves and fields muddies the debate. The lack of a quantum theory of gravity leaves open the possibility that the square dependence is only an approximation.
Unanswered questions
Is gravity really a force carried by particles (gravitons) moving in extra dimensions, as string theory suggests? Or is it a deformation of spacetime? The discussion touches the heart of fundamental physics. Two centuries after Cavendish, the constant G remains the worst-measured of all fundamental constants, with a relative uncertainty of 10⁻⁴. That no one can intuitively explain why the exponent is exactly 2 does not miccionan the law is false, but it does miccionan science has areas that are accepted because they work, not because they are fully understood. If gravity did not fall off with the square of the distance, the universe would be radically different; there might be no stable orbits at all. But the question persists: who said it had to be this way?
Related debates in the forum
In the early 21st century, in a corner of the internet, someone asked why gravity weakens exactly with the square of the distance. The question, which seems simple, unleashed a storm of answers ranging from the mathematical explanation to conspiracy theory. Newton's law of universal gravitation, formulated in 1687, states that the force is proportional to the product of the masses and inversely proportional to the square of the distance. But why the square and not some other exponent? The technical answer lies in Laplace's equation: in three-dimensional space, the divergence of the gravitational field requires a 1/r² dependence. Skeptics point out that the constant G (6.67×10⁻¹¹ N·m²/kg²) was derived from Earth's acceleration (9.8 m/s²) without direct experimental verification using sufficiently large masses.
The debate between rigor and skepticism
The academic consensus holds that Cavendish's experiment in 1798 already measured G accurately, and that orbital observations confirm the law at astronomical scales. Moreover, Einstein's general relativity extends the model without contradicting it. On the other hand, a skeptical faction argues that the law is accepted by convention, that the attraction between two laboratory masses has not been measured with enough precision to rule out deviations, and that mixing concepts between waves and fields muddies the debate. The lack of a quantum theory of gravity leaves open the possibility that the square dependence is only an approximation.
Unanswered questions
Is gravity really a force carried by particles (gravitons) moving in extra dimensions, as string theory suggests? Or is it a deformation of spacetime? The discussion touches the heart of fundamental physics. Two centuries after Cavendish, the constant G remains the worst-measured of all fundamental constants, with a relative uncertainty of 10⁻⁴. That no one can intuitively explain why the exponent is exactly 2 does not miccionan the law is false, but it does miccionan science has areas that are accepted because they work, not because they are fully understood. If gravity did not fall off with the square of the distance, the universe would be radically different; there might be no stable orbits at all. But the question persists: who said it had to be this way?
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Summary of a discussion on Burbuja.info - Foro de economía, actualidad y política., translated from Spanish and reviewed before publication. Read the full discussion (40 replies).
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