# Cartesian coordinates and reality [on hold]

I'm not a physicist. I watched a great video in which someone described what passing a sphere through 2 dimensions would look like to a 2d being. First is anyone actually looking for higher dimensional manifestation in our physical 3 dimensions? Secondly... Of course 2d beings don't exist.. and in fact neither does 2 dimensional space. We can envisage it and model it because of descartes. In fact.. it is only because of descartes that we can effectively model geometry to a sufficient degree to enable modern physics... Which leads me on. The Higgs field.. in fact all the fields of the standard model are based on the abstract notion of Cartesian dimensions surely? String theory I understand.. even more so. Are we actually sure that models based on Cartesian dimensions are suitable for modeling reality? I realise the accurately predict a lot of things.. but.. what is the basis of our faith that dimensions exist at all.. in anything other than an abstract manner. Is this perhaps why we are struggling with uncertainty (sic) in post classical physics?

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## put on hold as unclear what you're asking by Kyle Kanos, Dale, ZeroTheHero, Cosmas Zachos, BuzzDec 9 at 2:02

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• To clarify.. 2d space doesn't exist in reality.. only in theory. Why are we certain 3d space is any less theoretical? – Richard Dec 9 at 1:05
• My kitchen table is about 3 feet tall, 5 feet long and just under 3 feet wide. Last I checked, those are 3 distinct dimensions required to indicate the size of the table. Ergo, 3D seems pretty well founded in simple observations of everyday life. – Kyle Kanos Dec 9 at 13:38
• @KyleKanos yes I know that modeling the world in Cartesian coordinates works.. I'm pretty good with solidworks. My question is... Does it make sense to extrapolate or interpolate. We know that there is no 1d or 2d space.. why assume 4d space may exist? Why trust any model that makes use of any dimensions other than 3? In other words.. what makes us sure that Cartesian mathematics is capable of going beyond classical physics? – Richard Dec 9 at 13:58
• If I wanted to meet you too have a coffee, you'd need to tell me the place and the time of where to meet. Otherwise we'd miss each other. Ergo, time can be considered a dimension as well. Also, general relativity assumes this connection of space and time & does quite well in explaining all tests put forth. – Kyle Kanos Dec 9 at 14:09
• @KyleKanos yes I know models based on Cartesian coordinates work. But we (humanity) seem to be grappling at the edge of our knowledge to probe reality further. Some models propose inventing more dimensions.. because that makes the maths easier.. since the maths is based on dimensions. It occurs to me that dimensions might not actually exist.. certainly 2d doesn't. Perhaps what we need is a maths where all dimensions are infinitesimally small.i think I can't frame he question properly. – Richard Dec 9 at 14:41