In 2100 C.E.:
What will the average per capita energy use be?
Probably about half of today's.
What will the average life expectancy be?
In 1st world probably average mid-60's-70's, elsewhere 40's-50's.
Will there be computers? yes, 10 times more powerful and more energy efficient than today's.
Will there be an Internet? Yes, but very unlike today's internet. People will not have freedom to communicate and have access to knowledge like we do today. Every click will be tracked to your ID and will have to be expressly permitted.
Will we have space travel? Yes - Voyager and many other of the space probes launched since the 70's will be hurtling out of our solar system.
Will there be cars or some non-animal-powered form of individual human transport? Very small electric cars, some kind of enclosed motorcycles maybe, otherwise bicycles.
How many people will live on Earth? 4-5 billion
What will be the most prosperous region of the planet?
Canada & US, northern Europe and Scandinavia, southern parts of Argentina & Chile.
What will be the poorest region of the planet? Latin America, parts of Africa, China, Japan, Russia, Middle East, and most Pacific Rim & Indian Ocean countries.
Will we preserve the scientific and mathematical knowledge that we have gained over the past several hundred years?
Will we build upon it? Humanity's knowledge will be increased substantially, but the average person will barely be able to feed him/herself.
Will there be a United States of America? Yes, probably in much the same political arrangement as today.
How will people get most of their energy? Combination of hydro-electric, some coal, oil & gas, thermal depolymerization of waste, wind, solar
How will daily life differ from today? Western societies will be much more centred around farming and water supplies, people will migrate away from cities to the heartland. Nothing will be allowed to be wasted, not even poop. Populated areas will be tightly controlled.
How will daily life be simliar? We will still be fascinated by famous people.
What will the major religions of this time be? Christianity, Buddhist, Hindu, Islam
Will life in general resemble something out of the past (e.g. stone age life, medieval European life, 20th century American life) or will it be something we cannot imagine yet? Daily life in America will likely be like in the 1950's, only with powerful computers, which will be relied upon for every need
2500
What will the average per capita energy use be? 100x today's.
What will the average life expectancy be? 100-110.
Will there be computers? yes, we likely won't be able to tell the difference between man-made "computers" and people, in fact, the lines between real and artificial would have been blurred a couple of centuries ago, although some isolated pockets (mostly poor, inbred societies) of pure humans would still exist.
Will there be an Internet? Yes, it will be controlled by thought - I certainly hope spam is no longer around in 2500 AD
Will we have space travel? Yes - we will probably have some kind of space programs around the world.
Will there be cars or some non-animal-powered form of individual human transport? There will be very little need for transport outside of walking distance for most people.
How many people will live on Earth? 2 - 3 billion, very carefully managed by the Powers In Charge.
What will be the most prosperous region of the planet? North America & Europe
What will be the poorest region of the planet? Africa & Asia
Will we preserve the scientific and mathematical knowledge that we have gained over the past several hundred years?
Will we build upon it? By 2150-2200, we will have learned basically how to build artificial life from carbon and DNA. These lifeforms will constantly evolve, and become almost identical to real humans. By 2500 our knowledge as a species will be millions of times more advanced than it is today.
Will there be a United States of America? I'm guessing that it will be unrecognizable to today's. Some states will leave and become independent, others around the world will join for protection or out of being forced to join.
How will people get most of their energy? Photosynthetic - for example: the grass on the lawn, instead of using the sun's energy for growth will pass the energy through to the surrounding energy net or grid. The side benefit is...we'd never have to cut the grass either.
How will daily life differ from today? Others will be capable of reading your thoughts with their powerful computers. Individuality will be a relic of the past. People will do the jobs they are told to do, and live the life they are told to live, if they want to live that is.
How will daily life be simliar? We will still be fascinated by famous people.
What will the major religions of this time be? Whatever the thought police tell people to worship.
Will life in general resemble something out of the past (e.g. stone age life, medieval European life, 20th century American life) or will it be something we cannot imagine yet?
I imagine much like the 20th century, just without the ability to transport onself or to even have private thought.