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I wish to know about whether such example exists, could someone please help and tell me some stories about this?

p.s: Also I wonder why such thing can happen. I wish the two main characters in the story to be researchers of the same level. The only thing I can think of that makes this happen is that they are using different methods, but what else can make this happen?

Thanks in advance!

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closed as too broad by Carl Witthoft, Conifold, Nick R, José Carlos Santos, tox123 Oct 6 '18 at 23:44

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

  • $\begingroup$ Is this related to the "replication crisis" in social science research? Such as psychology? en.wikipedia.org/wiki/Replication_crisis $\endgroup$ – Gerald Edgar Oct 2 '18 at 1:09
  • $\begingroup$ Whether light is made of particles (Newton) or waves (Huygens, Euler)? Whether its vibrations are perpendicular to the plane of polarization (Fresnel), or parallel (Cauchy, Neumann)? Whether an electromagnetic field has momentum density $\smash{\mathbf{D\times B}}$ (Minkowski), or $\smash{\mathbf{E\times H}/c^2}$ (Abraham)? (Such questions, ultimately resolved by being made meaningless, are maybe not of the sort you want.) $\endgroup$ – Francois Ziegler Oct 2 '18 at 1:43
  • $\begingroup$ How about the existence or non-existence of "Z-rays" ? It's easy to get conflicting conclusions; shortly thereafter one or both are shown to be wrong. $\endgroup$ – Carl Witthoft Oct 2 '18 at 12:57
  • $\begingroup$ At the same time? During what time period? In what field? As it stands, the question is so broad one can write a book about it. Please narrow the scope. $\endgroup$ – Conifold Oct 2 '18 at 21:16