the framework has many possible reconceptualized topics.
e.g. what is volume that the framework were thought of how photon behaves? i mean volume definition as aristotalean? or some grp thrtc definitions and even topological definitions based on spatial traits of the eigenstate considered?
so one challenge is to when during such very curiosity moments take this config of possible many configs (e.g. spatial trait definition of eigenstate, how volume means ? what is volume mathematically? and distance metric considered there. from real analysis to topology how to conceptualize the spatial trait of the eigenstate first) and how to conceptualize is just one basis condition of thought exercise there. there you knoiw it might be incorrect (maybe its in reality alternate config in topologic definition of) starting with some presumptions of topology even it feels disonance creating (feels stupid to take any assumption but instead considering all topological analytical assumptions with an automated thinking methodology) momentarily, so knowing it might be incorrectm, then taking an assumption of taking one spatial trait idea methodology of an eigenstate, then -->
in such spatial framework presumption, then thinking the actual query of how photon behaves like that?
what kind of grp thrtc there creates time and space concept the science documentary mentioned of its strange ideas of (this one i listened to and i got lost in cognitive disonance afterwards of these curiosity of how photon has different behaviour like that) . but does not define the curiosity aspect of it. hadnt watched the documentary fully since in mid of I got lost to these queries. i knew heard that behaviour of photon from documentaries but this time i got lost in framework queries of how could photon be like this. so due to this documentary i couldnt rest last day :)
so there is many possible reconceptualizations when thinking such topic. first is spatial topic. how do you conceptualize that? if you follow an assumption (just to only come to think the original curiosity topic,. but does not change that sestting an assumption creates also cognitive disonance since it could be anything. even volume concept is :) and metric distance also either. and spatial definition is it open set alike behaviour or compact concepts coming from analysis or is it how about its topological traits of dimension, is it some topologic dimension concept whatever? or 1 dimension mathematically its point configuration ? so see? setting assumptions is very cognitive disonance creating even to spatial aspect of the topic. and that s not even the actual curiosity topic, thats what you need to have a definition to then investigate the actual query of how time emerges from instantaneousity and from 0 dimension alike point alike existence. and how that topological point is topologically indeed? and how that is traits of analysis wise is a point that is compact or open set alike? (does it has such recursive trait in analytic side? is it a single point or is it some internal more intricate topic?) maybe its a point that is actually an open set of posets? (is it internally i mean it if we also added such trait of its definition. so see the intricate ideas flow from topology to analysis side back and forth even if when trying to create only a single one startgin spatial assumption :) so even setting up assumptions of spatial aspect of an eigenstate is quite a challenging thought experiment right? which of the many possible assumptions you would follow topologically analytically ? (from real analysis side?) of definition of the spatial aspect and that is not the actual curiosity topic indeed? :) but it s a topic you need to set up some assumption and then continue to the actual curisoity topic with such might be incorrect assumption :) --> see the cognitive disonance :) of going with assumption whilst knowing it might not be correct :) and might be an alternate assumption either. :)
e.g. consider the volume -> just lets remember the banach tarski definition of volume. ok thats one extreme side of spatial reconceptualization but still :) that being one extreme, could be also hmm how about analytical definition, is it open set or compact? (of analysis maths concepts). and coming to point definition, is it the some 0 dimension defintion of topology there? or something more dimensional? and so? so how do you define the spatial domain of an eigenstate first of all :) see understand the cognitive disonance:) this is not the actual curiosity task either :) see if you select one approach it creates cognitive disonance since could be very much an alternate approach either :) now wish i could reflect the cognitive disonance :) how do you state an assumption whilst knowing its least equally probable its an alternate assumption but thats required to setup the actual curiosity topic thought frameworks to be thought upon. its quite cognitive disonance right? :) doing some thought ideas knowing assmptions might be incorrect/alternate. wish i could reflected some of the cognitive disonance of these topics.
so these are just the cognitive disonance related to spatial assumptions of the actual curiosity which is not about spatialness but rather the photon behaviour?
so the recursive spatial queries first is the starting cognitive disonance creating topics. but with all its cognitive disonance you set up a basical most basic assumption then come to actual query how photon behaves like that. then you again lost in lots of ideas and finally a moment of initial framework idea happens (with that not fully thought spatial definition which could also be any alternate definition :) ) but least least reaching out an idea that even maths of not studied yet very much but seems as an inference wise possibly plausible any one of ideas it might be how its like. so thats the point you say yayyyy we have a starting framework idea. :) yayyy! :)
this is the v2 ml algos curiosity topic -> second of ml algos task. which is completely intellectual study alike these. but i would need to restudy to analysis/topology etc for this second task and also many such topics to figure out how to invent warp. :)
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