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Finite Rotations

A unified research programme connecting the electrodynamics of moving bodies to the full geometry of spacetime and gravitation.

GitHub
Visualization of spacetime curvature around a massive object

Overview

The special theory of relativity (1905) showed that the laws of physics are identical in all inertial reference frames and that the speed of light is constant. The general theory (1915–1916) extended these ideas to accelerating frames, revealing that gravity is the curvature of spacetime caused by mass and energy.

The Einstein–Podolsky–Rosen paper (1935) addressed the apparent non-locality implied by quantum mechanics — a question that remained open until Bell’s theorem (1964) and subsequent experiments by Aspect et al. (1981) confirmed quantum non-locality.

Key Results

  • Special relativity: E=mc2E = mc^2, Lorentz contraction, time dilation, relativity of simultaneity
  • General relativity: Einstein field equations Gμν=8πG/c4⋅TμνG_{\mu\nu} = 8\pi G/c^4 \cdot T_{\mu\nu}, gravitational waves, black holes, cosmological expansion
  • EPR: entanglement, Bell inequalities, foundations of quantum information

References

  1. C. Perez, F. C. Filippou On Nonlinear Geometric Transformations of Finite Elements . International Journal for Numerical Methods in Engineering , 2024 .
  2. Y. Yang, G. Shin, T. Zhang, C. Perez, L. Luo, K. Soga A Matrix-Free Discontinuous Galerkin Method for Dynamic Cosserat Rod Simulation . Computer Methods in Applied Mechanics and Engineering , 2026 .