Well, the difference to CE is easy:
Don´t build cottages, farm everything (except early capital)...
...
OK, the difference to SE is also easy:
Don´t run specialist (except GS farm)...
...
But how exactly works and FE and where does the research come from?
To answer those questions, I have attached the next screen, where a typical FE city-screen is shown:
View attachment 151314
What do we see:
We have a size 9 city which has an output of about 50 beakers at 100% research at around 1000 AD.
When you have expanded well and FE is used properly, you will have about 10 -15 of those cities around that time, so your research will be at around 500+ beakers WITHOUT your science city AND your capital (that´s why a tech like assembly line takes only 12 turns to research that early
)
...
How can this be done?
To analyze this a little closer, we have another look at the city-screen above:
Buildings:
Theatre - first building, to expand city borders
Granary - to speed growth
Lighthouse - to speed growth
Harbour - to increase trade
Courthouse - to reduce costs
I usually build these buildings in this order. More buildings aren´t needed (if it´s a non costal city, you need a market)
Why this buildings:
We want to grow... ...not to be big, but to use the whip to get our buildings faster.
We will whip every single building a city can build, as long as we aren´t forced via emancipation to leave slavery. Economy buildings first, science next...
We only have to take care of the city remaining size 6+, to bring in enough trade via trade routes (+harbour and/or market)
...
There we are
...
TRADE-ROUTES
...
I usually run herrule (NOT rep), nationalism, slavery, free market and free religion.
Now you only have to bribe one of the other AI´s early to switch to free market and your research will go crasy
...
BEFORE reaching free market, I usually run bureau and let my capital do the research (I build 3-5 cottages & academy... ...this will do normally). Another city gets the national epic (and, if lucky, the Great Library) and under pacifism I try to get as many GS as possible.
Around the time when lightbulbing and capital-research start loosing their effects (normally when lib is in), the other cities take over and I switch to nationalism (cheap and baracks help keeping the cities happy)
...
VERY IMPORTANT:
You must go heavy into politics to really be able to work this strat. Early warmongering and playing agressiv normally doesn´t go well with that, so you have to take care which neighbours you can attack (better to prepare every attack via diplo or missionaries)
...
Back that strat up with one science city and 1 (or 2) production cities and you will get amazing results
...
When everything important is build and all city tiles are worked (=most cities are fully grown), only then your cities will start hiring specialists. This is the time, when you can switch to rep.
Don´t build cottages, farm everything (except early capital)...
...
OK, the difference to SE is also easy:
Don´t run specialist (except GS farm)...
...
But how exactly works and FE and where does the research come from?
To answer those questions, I have attached the next screen, where a typical FE city-screen is shown:
View attachment 151314
What do we see:
We have a size 9 city which has an output of about 50 beakers at 100% research at around 1000 AD.
When you have expanded well and FE is used properly, you will have about 10 -15 of those cities around that time, so your research will be at around 500+ beakers WITHOUT your science city AND your capital (that´s why a tech like assembly line takes only 12 turns to research that early

...
How can this be done?
To analyze this a little closer, we have another look at the city-screen above:
Buildings:
Theatre - first building, to expand city borders
Granary - to speed growth
Lighthouse - to speed growth
Harbour - to increase trade
Courthouse - to reduce costs
I usually build these buildings in this order. More buildings aren´t needed (if it´s a non costal city, you need a market)
Why this buildings:
We want to grow... ...not to be big, but to use the whip to get our buildings faster.
We will whip every single building a city can build, as long as we aren´t forced via emancipation to leave slavery. Economy buildings first, science next...
We only have to take care of the city remaining size 6+, to bring in enough trade via trade routes (+harbour and/or market)
...
There we are
...
TRADE-ROUTES
...
I usually run herrule (NOT rep), nationalism, slavery, free market and free religion.
Now you only have to bribe one of the other AI´s early to switch to free market and your research will go crasy

...
BEFORE reaching free market, I usually run bureau and let my capital do the research (I build 3-5 cottages & academy... ...this will do normally). Another city gets the national epic (and, if lucky, the Great Library) and under pacifism I try to get as many GS as possible.
Around the time when lightbulbing and capital-research start loosing their effects (normally when lib is in), the other cities take over and I switch to nationalism (cheap and baracks help keeping the cities happy)
...
VERY IMPORTANT:
You must go heavy into politics to really be able to work this strat. Early warmongering and playing agressiv normally doesn´t go well with that, so you have to take care which neighbours you can attack (better to prepare every attack via diplo or missionaries)
...
Back that strat up with one science city and 1 (or 2) production cities and you will get amazing results
...
When everything important is build and all city tiles are worked (=most cities are fully grown), only then your cities will start hiring specialists. This is the time, when you can switch to rep.