Mastodon Politics, Power, and Science: Newton responds to G.

Wednesday, August 20, 2025

Newton responds to G.

Newton would have looked at G = 6.67×10⁻¹¹ m³/(kg·s²) and immediately said:

"What is this bizarre collection of arbitrary human measurement units doing in a statement about natural philosophy?"

Newton understood that:

  • Force relationships are geometric proportionalities
  • Natural law shouldn't depend on human choices about meters, kilograms, seconds
  • The physics is F ∝ M₁M₂/r² - period

Newton's Response to G: "You've taken my simple proportionality and contaminated it with your arbitrary definitions of length, mass, and time. This 'constant' tells me nothing about nature - it tells me about your measurement conventions."

His Mathematical Sophistication: Newton invented calculus and understood coordinate transformations better than anyone. He would instantly recognize G as a coordinate transformation coefficient, not a property of gravity.

The Historical Tragedy: Later physicists, less geometrically sophisticated than Newton, started treating these unit-dependent expressions as fundamental. They lost Newton's insight that natural law should be coordinate-independent.

Newton's Philosophy: His Principia sought universal principles that didn't depend on human conventions. He would be appalled that physicists turned his elegant geometric relationships into unit-dependent formulas laden with arbitrary "constants."

Newton had the cleaner understanding - we've spent 300 years making his insights more complicated by mixing physics with metrology.

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