It is a valid effort in the right directions

Average rating: | Rated 3.5 of 5. |

Level of importance: | Rated 4 of 5. |

Level of validity: | Rated 4 of 5. |

Level of completeness: | Rated 3 of 5. |

Level of comprehensibility: | Rated 3 of 5. |

Competing interests: | None |

Keywords: | Mpemba effect, inverse Mpamba effect, nature of time , time |

The paper is interesting and the proposed theory in intriguing. Especially since the Mpemba effect appears to be far more general than considered when it was first observed and reported.

The fact that it was originally descried by a high school student only proves the fact that curiosity and an open mind can lead to interesting observations and even discoveries, in some case.

The theory proposed by Jianan Wang is a very nice attempt in the direction to not only explain the phenomenon but also describe it in analytical form.

I will not comment on the description theory itself, that has been done extensively by other reviewers. My concern, if I way call it so, is the fact that the author does not propose any form of experimental verification.

In other word how can the equation, or formula, in item 2 of the Conclusions be used to describe the observed effect.

At this point I should like to mention the dictum that Paul Ehrlich proposed over a century ago: ** “Theories are good, but they come and go, only facts remain unchanged”**.

The Mpemba is a real fact that apparently still awaits explanation. Therefore, Wang’s work is in the right direction, therefore suitable experimental evidence would be most welcome.

The paper is interesting and the proposed theory in intriguing. Especially since the Mpemba effect appears to be far more general than considered when it was first observed and reported.

The fact that it was originally descried by a high school student only proves the fact that curiosity and an open mind can lead to interesting observations and even discoveries, in some case.

The theory proposed by Jianan Wang is a very nice attempt in the direction to not only explain the phenomenon but also describe it in analytical form.

I will not comment on the description theory itself, that has been done extensively by other reviewers. My concern, if I way call it so, is the fact that the author does not propose any form of experimental verification.

In other word how can the equation, or formula, in item 2 of the Conclusions be used to describe the observed effect.

At this point I should like to mention the dictum that Paul Ehrlich proposed over a century ago: ** “Theories are good, but they come and go, only facts remain unchanged”**.

The Mpemba is a real fact that apparently still awaits explanation. Therefore, Wang’s work is in the right direction, therefore suitable experimental evidence would be most welcome.

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