I'm confused. You state "100%" that "no" you can't run a tank with no filter. I read that as, if you want to run a tank properly you need a filter?
No, the title of this thread is not the question: "Is is even possible to have a tank with no filter?"
It is the question "Is it even possible to have a tank with no filtration?"
My reply answers the question that was asked. A filter does not do filtration, the media inside the filter does not do the filtration, the bacteria which colonize the media in the filter do the filtration. However, those bacteria do not need a filter to colonize and function. Plants are filtration, bacteria in the substrate and on the plants as well as on other hard surfaces in a tank are the filtration.
A filter is a mechanical device which holds media and pumps water through it. To some extent this also creates surface agitation to promote gas exchange and provides some current to move water in the tank. As long as one has oxygenation and sufficient circulation, the filter is not needed. Usually the proper size filter for a tank will provide adequate agitation. However, the tank may still need a pump or power head to improve circulation.
from http://www.swisstropicals.com/library/aquarium-biofiltration/Biofilms are communities of microorganisms (see below) in which cells are embedded in a self-produced matrix of extracellular polymeric substance (EPS), which is often called “slime”. The cells adhere to each other and/or the surface. Biofilms are a system/network of microorganisms that adapts to environmental conditions. They form on living or non-living surfaces and are prevalent in natural and artificial settings. EPS is a polymeric conglomeration generally composed of extracellular biopolymers in various structural forms. Biofilms are the basis of substrate-bound aquarium biofiltration.
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