Queen cell and workers cells receive the same diet for the first 48 hours ( Scientific Fact)
That is how I remember it from the few books about bees and queen rearing I have read, sorry I don't have any specific references.
Its not quite the full story. It would appear to be a simplification along the lines of "there is only ever one Queen in each colony".
Dr David Woodward in his book "Queen Bee: Biology, Rearing and Breeding" (2010), in Section 1.4 'Caste Determination' explains it thus:
During the first 24 to 36 hours of larval development workers and queen bees are fed similar amounts of food. During the second day the diet for larvae that will become workers or queens differs. Worker larvae recieve a light feeding of worker jelly for the first three days of development, produced from secretions of the mandibular and hypopharangeal glands of nurse bees …
By contrast, larvae developing in queen cells are fed royal jelly in copious amounts. During the first three days the royal jelly fed to these larvae is produced from nurse bee secretions of the mandibular glands only. ...
My emphasis.
Similar AMOUNTS for the first day or so (only), but of DIFFERENT stuff.
Qs get mandibular only.
Ws get mandibular AND hypopharangeal.
(For the first 3 days as a larva)
(Jean-Prost, 1994) - University of Illinois Laboratory
has the basic text without having to trek through page after page of text
http://www.uni.illinois.edu/~stone2/bee_life_stages.html
...
Actually that page was put together by a "teaching associate" at the University of Illinois Laboratory
High School, claiming to cite Pierre Jean-Paul.
It is a school page, not a university-level one.
I don't have J-P's book so I don't know whether the 'associate' has misunderstood or whether there is a poor translation of the french original.
Given some of the other statements on that page, I'd suspect the former.
I think we can know a little better than "Development from egg to new worker typically takes two (Tales From the Hive, 2000) to three weeks (Bishop, 2005)".
And the last paragraph contains this gem "drones can't fly well".
Not the sort of source to be treated as the best available information!