- A Moving Rod Does Not Shrink (2010) [Updated 6 years ago]
- Moving Clock Does not Run Slow (2009) [Updated 1 decade ago]
- The Moon is There When Nobody Looks (2008) [Updated 9 years ago]
- Disagreement between Newtonian and Relativistic Trajectories at Low-Speed: Another Example (2007) [Updated 6 years ago]
- Connecting Newtonian Mechanics to Special Relativistic Mechanics: Einstein's Mistake (2006) [Updated 6 years ago]
- Einstein Goofed (2005) [Updated 1 decade ago]

- A Moving Rod Does Not Shrink (2010) [Updated 6 years ago]
Contrary to the orthodox interpretation of the length contraction equation in special relativity, a simple argument is given to prove that a moving rod does not actually shrink or contract.

- Moving Clock Does not Run Slow (2009) [Updated 1 decade ago]
This note is not intended to show that the time dilation formula in special relativity is wrong. Instead, I will show that the formula has been misinterpreted. In particular, I will show that the time dilation formula does not imply a moving clock runs slower compared to a stationary clock. As a corollary, there is no twin paradox.

- The Moon is There When Nobody Looks (2008) [Updated 9 years ago]
As another counterexample to prevalent conventional belief, a realistic theory, which is local and reproduces all the probabilistic predictions of quantum theory, is presented for Mermin?s version of the Einstein-Podolsky-Rosen (EPR) experiment.

- Disagreement between Newtonian and Relativistic Trajectories at Low-Speed: Another Example (2007) [Updated 6 years ago]
It is shown that, contrary to conventional wisdom, the Newtonian and relativistic predicted trajectories for a low-speed delta-kicked dissipative system can eventually disagree completely. Similar results were found previously for two non-dissipative systems: Chaos 16 (2006) 033107 and NPA 2006 Proceedings.

- Connecting Newtonian Mechanics to Special Relativistic Mechanics: Einstein's Mistake (2006) [Updated 6 years ago]
According to Einstein, if the speed of a particle remains low, i.e., much less than the speed of light, then the dynamical prediction of special relativistic mechanics remains very well approximated by the prediction of Newtonian mechanics for the same parameter(s) and initial conditions. However, in this paper, it is shown with two counterexample Hamiltonian dynamical systems that, contrary to Einstein's claim, Newtonian dynamics can eventually disagree completely with relativistic dynamics, even though the particle speed is low. This result points to a new possibility of testing the two theories in the domain of low speed.

This paper is aka "Einstein's Mistake on the Connection of Newtonian Mechanics to Special Relativistic Mechanics".

- Einstein Goofed (2005) [Updated 1 decade ago]
According to Einstein, if the speed of a particle remains low, i.e., much less than the speed of light, then the dynamical prediction of special relativistic mechanics remains very well approximated by the prediction of Newtonian mechanics for the same parameter(s) and initial conditions. However, in this paper, it is shown with two counterexample Hamiltonian dynamical systems that, contrary to Einstein?s claim, Newtonian dynamics can eventually disagree completely with relativistic dynamics even though the particle speed is low. This result points to a new possibility of testing special relativity in the domain of low speed.