Newton-like Mechanics Replaces Einstein’s GR and Spacetime Surrogate

John 9: “Whereas I was blind, now I see.”

Alexandre Kassiantchouk Ph.D.
Time Matters
2 min readApr 12, 2024

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[👉 1] Almost everybody failed to notice inverse square dependency of mechanics on time dilation D: F(1) = F(D)/D². That corrects Newton’s inverse-square law g = –G×M/R² to g = –G×M/(R²×D²).

[👉 1] also explains v(1) = v(D)/D for observed and local velocities, which gives c/D light (wave) speed for [👉 2].

[👉 2] Everybody (but UFOlogists) failed to notice that gravity can be decoupled from mass: g = –(0.5×c²/D²)' ≈ c²×D' ~ ∇D (gradient ∇ is derivative by location). Potential = 0.5×c²/D² is derived from Newton-Laplace formula for a wave in any medium.

[👉 3] From [1] and [2] we can derive Dr. Robinson’s formula D = exp[G×M/(R×c²)] for time dilation near massive objects:

g: – (0.5×c²/D²)' = G×M/(R²×D²)
0.5×c²×(D⁻²)
' = G×M/(R²×D²)
0.5×c²×(
2D'×D⁻³) = G×M/(R²×D²)
c²×(D'/D) = G×M/R²
c²×(ln(D))' = G×M×(1/R)'
c²×ln(D) = G×M×(1/R)
ln(D) = G×M/(R×c²)
D = exp[G×M/(R×c²)]

Such exponential time dilation removes singularities from physics (because time never stops: D is finite for any radius R).

[👉 4] Along with Snell’s law (with time dilation D as refractive index), that replaces GR completely:

Click on corresponding 👉 link for a detailed explanation, or read 👉 my book (also free on Amazon).

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