Dear All,

It is well known by physics and human eye biology that on a clear day for a 6 feet (1.82m) average observer eye height from sea level the horizon line distance from the observer is not more than 3 miles or about 5 Km on a calm sea. (Atmospheric light refraction has an minimum effect on the above numbers).

Earth corvarture calculator:

https://dizzib.github.io/earth/curve-calc/?d0=48.28032000002595&h0=1.8288222384784198&unit=metric

(notice an object target distance from the observer of 30 miles (48Km was chosen)

Furthermore, visible horizon line distance is reduced by factors like visibility due atmospheric conditions, sea swelling, atmospheric reflections of sea surface etc.

Therefore visible horizon for an observer due to biological eye perception limitations and physical conditions always precedes true horizon due Earth's curvature and therefore Earth's curvature can not be accounted for or be regarded as responsible for the 2000 years old classical argument that ships bottom first disappear from the horizon due Earth's curvature!

Visible horizon line has still the same effect as true horizon due Earth curvature, thus for objects behind visible horizon will still disappear bottom up first (surface of objects closest to visible horizon line). This is a well known fact from eye biology limitations and how our sight works dictated mainly by eye minimum angular resolution thus 0.02° (i.e. we can not see or resolve objects which have a visual angle less than 0.02°, https://en.wikipedia.org/wiki/Naked_eye) .

Thus an object behind the horizon line depending its visible size as it is going further away from the observer and its size shrinks as we approach the limit of 0.02° angular dimensions limit, will gradually disappear from our vision on the horizon bottoms first.

In conclusion, ships are not disappearing bottoms first due Earth's curvature, but due the visible mainly biological perceived horizon line and by human eye limitations. I submit. Any biology eye specialist and doctor can confirm this.

So then if the above is correct and verified by science, why "the ships bottom first disappearing due curvature" fallacy is kept by by modern physics today?

Kind Regards,

Emmanouil Markoulakis

Technological Educational Institute of Crete

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