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First of all, I can't find any dialect called "Sidiki." I can find people with the name Sidiki, such as Sidiki Conde a West African dancer from Guinea. This actually gave me hope that I might find something, but that actually didn't happen, as you will see . . .

When I searched for Geomancy, something I know nothing about, I discovered that it's a type of divination which uses drawings in the sand or dots on a piece of paper, sort of like automatic writing. Some of it is done by poking sticks into the ground. I found two sites that were quite intensive:

The Magickal Use of the Sixteen Figures of Geomancy has some familiar words - Caput Draconis, Albus, Rubeus, and Fortuna Major - along with divination figures. But no "alohomora."

The Mantalogue has nearly every single historical reference to Geomancy throughout recorded history. Talk about etymology! You can wallow in sources there, from Agrippa and Paracelsus through Rabelais. But no mention of "alohomora." Perhaps you could look through all those works and see if the word appears, but having read Agrippa and Paracelsus in the past, that is slow going, and I just need this one word.

So moving on . . . I remembered a reference dictionary I have used before by Madame H. P. Blavatsky, which is the source for the name "Cassandra Blavatsky" in the books, who wrote "Unfogging the Future." (Her initials also remind me of the HBP, though switched around). 

I recalled that in the Theosophical Glossary I had found such phrases as "Abracadabra" (source of Avada Kedavra) as well as "Abraxas" which is Draco Malfoy's grandfather's name. I'll post those definitions here, to show you how detailed most of them are, although the Abracadabra disagrees with JKR's own source for "Avada Kedavra" somewhat. She said it is Aramaic, and I guess that's close to Coptic Egyptian, but it was never a killing spell:

Abracadabra (Gn.). This symbolic word first occurs in a medical treatise in verse by Samonicus, who flourished in the reign of the Emperor Septimus Seveus. Godfrey Higgins says it is from Abra or Abar “God”, in Celtic, and cad ‘‘holy” ; it was used as a charm, and engraved on Kameas as an amulet. [w.w.w.]

Godfrey Higgins was nearly right, as the word “Abracadabra” is a later corruption of the sacred Gnostic term “Abrasax”, the latter itself being a still earlier corruption of a sacred and ancient Coptic or Egyptian word: a magic formula which meant in its symbolism ‘‘Hurt me not”, and addressed the deity in its hieroglyphics as “Father”. It was generally attached to an amulet or charm and worn as a Tat (q.v.), on the breast under the garments.

Abraxas or Abrasax (Gn.). Mystic words which have been traced as far back as Basilides, the Pythagorean, of Alexandria, AD. 90. He uses Abraxas as a title for Divinity, the supreme of Seven, and as having 365 virtues. In Greek numeration, a. 1, b. 2, r. 100, a. I, x 60, a. I, s. 200 = 365 days of the year, solar year, a cycle of divine action. C. W. King, author of The Gnostics, considers the word similar to the Hebrew Shemhamphorasch, a holy word, the extended name of God. An Abraxas Gem usually shows a man’s body with the head of a cock, one arm with a shield, the other with a whip.

But guess what? There is no "alohomora" there listed along with those words. I searched to see how many types of divination are listed, and there are quite a few, but Geomancy is not listed there either, except that casting lots of any kind was frowned upon by St. Augustine.

Moving on . . . I took a different tack and decided to look for just parts of words. I found nothing when searching for "Aloho" alone, except a Wikipedia biography of Ignatius Abded Aloho II, a Syrian Monk who was the 118th successor to St. Peter in Antioch. I don't see what that has to do with a spell for opening doors.

Next . . . I searched for "moro" alone. That led to this: the Mora Moro a type of West-African fish that feeds on crustaceans and garbage! Voila! At least I was getting closer to West Africa, though still off the coast!

But what a fish has to do with opening doors or geomancy, I'm not sure.

So after an hour of this futile searching, I impatiently typed in "hello goodbye africa" and came up with a familiar word: "Shalom." Like "Aloha," Shalom in Hebrew means both hello and good-bye, but also "peace" and "good luck." And at least it does come from the continent of Africa, though the northern part instead of the western part. 

Edited to Add: I'm not Jewish, and I hope my Jewish friends will forgive me if I mistranslate, but according to the Jewish Day School of Metropolitan Seattle, Washington:

". . . teachers are addressed with the title "HaMorah" (feminine) or "HaMoreh" (masculine) followed by the teacher's first name."

So I was really close in my original essay - "alohomora" might sound alot like "Shalom HaMorah," which would mean "Good Morning Teacher" or "Hello, Teacher."

You can look at that metaphorically - a teacher "opens the doors of learning."

                                         

I realize this is so far-fetched, and yet, it's as good a guess as "Aloha," which I think is also closer to the the word than anything I've found in the past three days.  See the comments below - I've been through everything from Cornelius Agrippa, to the Etruscan Goddesses, to Washington Irving's "Al Hambra" (From "El Hamra," the "red castle" of the Moors in Spain).  

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If JKR hates the Hawaiian "Aloha" connotation, she can always change it to "Shalomhomora." But that is really stretching this as far as I possibly can, and for those reading this with no sense of humor, I'm just being facetious and mean no harm to anyone who speaks Hebrew. 

The bottom line is, I couldn't find a source for "alohomora," and I've talked to quite a few well-educated people in the past few days who also cannot find it. Obviously, JKR could have found it from an obscure anthropology or magic book from her own "restricted section." Often old books contain material that never makes it onto the Internet.

But this business of criticizing intelligent researchers because they make a mistake and connect it to a more obvious word doesn't seem quite fair.