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В работе рассматривается фундаментальный закон силы, выведенный в рамках Темпоральной теории Вселенной (ТТУ): Fₜ = −m c² ∇ln τ, где τ - локальный темп времени. Этот закон связывает гравитационное притяжение с градиентом времени, показывая, что тела движутся туда, где ход времени замедляется. Из вариационного принципа получен лагранжиан поля времени ℒₜ = ½ α (∇ln τ)² − β τ², выводимый из условия масштабной инвариантности. В слабополевом пределе он переходит в ньютоновскую гравитацию и точно воспроизводит наблюдаемый сдвиг перигелия Меркурия (≈ 43″ век⁻¹) без подгонки параметров. Статья не вводит новую теорию, а уточняет существующую динамику, показывая, что сила гравитации может рассматриваться как проявление временного градиента. Отмечены также предсказания для Венеры, Земли и двойных пульсаров и предложены пути экспериментальной проверки. | ||
Lemeshko Andriy
Doctor of Philosophy, Associate Professor
Taras Shevchenko National University of Kyiv, Ukraine
ORCID: 0000-0001-8003-3168
In the Temporal Theory of the Universe (TTU), gravity is understood as a manifestation of inhomogeneity in the flow of time itself. The fundamental force law is F = m c« ln , where is the local tempo of time. The field Lagrangian is = (ln )« «, with and describing the 'rigidity' and self-interaction of time. Demanding invariance under rescaling reproduces Newtonian gravity and correctly predicts Mercurys perihelion shift: = 6 GM / [a (1 e«) c«] - 43 per century. No parameter fitting is required the effect follows from temporal gradients.
In classical physics, time is a background parameter. In TTU, it becomes a physical field a continuous medium with density and elasticity. A temporal gradient drives motion just as a pressure gradient drives air flow. The quantity (x) describes how fast time flows locally; where decreases, time slows down, and matter is drawn inward.
Physical laws must not depend on our choice of time unit . Hence only relative changes, ln , can appear. The invariant Lagrangian = (ln )« « follows naturally from this symmetry. The (ln )« term represents curvature of temporal flow; « ensures field stability.
From S = 0: "(« ) (2/) = 0. For - e^{}, || 1, « - (2/). Defining = c« and = c / (8 G) gives « = 4 G, reproducing Newtons gravity.
TTU force: F = m c« ln = m . For an orbiting body: u + u = (GM)/h« + u«, where u = 1/r and stems from temporal nonlinearities. For (r) = GM/(c«r) + (GM)«/(cr«), - 3GM/c« (1 + O()).
The small term u« leads to a secular rotation of the orbit: = 6 GM / [a (1e«)c«]. For Mercury (a = 5.790910 m, e = 0.2056, GM = 1.327110«, c = 2.997910), - 43 per century matching observations.
= ln is the 'temporal potential'; defines the direction of time flow; ()« is energy stored in time deformation; « represents its elasticity. In TTU, time behaves like a compressible medium that can generate forces.
GM 0.1 %, e 0.0001, / 0.05 %, J <0.5/century. Total uncertainty © 0.7/century.
Weak-field metric form: g = (1 + 2/c« + 2_TTU(/c«)«), g_{rr} = 1 2_TTU /c«. For TTU, _TTU = 1, _TTU = 1, identical to GR in first order; deviations © 10, testable by Cassini, Gaia, LATOR.
Venus: - 8.6/century; Earth: 3.8/century. Binary pulsars: TTU predicts slightly slower orbital decay due to weak |ln | dependence.
Einstein: 'Mass curves spacetime.' TTU: 'Mass alters the rate of time, and its gradient creates force.' TTU reinterprets geometry as temporal dynamics gravity as the flow of time.
(r) = GM/(c«r) + (GM)«/(cr«); (r) = c«(r); u = 1/r, h = L/m. Binet equation: u + u = GM/h« + u«, = 3GM/c«. Solution = 6 GM / [a(1e«)c«]. For Mercury - 43/century.
The Temporal Theory of the Universe reframes gravity as a result of time gradients. It matches all GR weak-field tests while offering a new energetic interpretation: matter moves along the slope of time. Future missions (BepiColombo, Gaia NIR, LATOR) may confirm that time itself is the source of force.
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