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newbee
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How would an imaginary microscopic being measure distance or more precisely measure its position in some spatial coordinate system?
newbee said:How would an imaginary microscopic being measure distance or more precisely measure its position in some spatial coordinate system?
newbee said:How would an imaginary microscopic being measure distance or more precisely measure its position in some spatial coordinate system?
That's a notion that I was entertaining as well but my QFT and gravity background isn't yet what I would like it to be. The notion of a potential or Lagragian as a function of a spatial coordinate to which there is no explicitly associated scale is bothering me. Anyhow, thanks for the thoughtful post. I hope this discussion continues and draws the interest of others.Fra said:This is also closely conceptually related to inertial concepts and IMO possibly the link between gravity and particle physics. /Fredrik
newbee said:But wouldn't this being need to know the simultaneous position and momentum of the microscopic ruler as a prerequisite to using it to measure his/her position?
Fra said:Consider that we have many "sticks", perhaps some of space, some for electric charge, etc. At some poitns ALL the sticks simply blur from the point of view of a tiny observers. there is a limit to the number of intrinsically constructible "sticks". This sounds like unificaiton. So what about mass an inertia? I associate that to the information capacity, and thus "stability" of say any sticks.
/Fredrik
newbee said:The notion of a potential or Lagragian as a function of a spatial coordinate to which there is no explicitly associated scale is bothering me.
Fra said:Actually the deeper idea of information capacity vs inertia mass connection i have in mind that should contain QM as emergent really belongs to open questions. I think one has to admitt that the questions are controversial.
So maybe the discussion here starts to diverge from the rules of the "QM" section.
atyy said:This paper seems to bring some quantum gravity ideas into standard QM?
Area laws in quantum systems: mutual information and correlations
M.M. Wolf, F. Verstraete, M.B. Hastings, J.I. Cirac
http://arxiv.org/abs/0704.3906
newbee said:I don't know what type of example you may be looking for. It just appears to me that the notion of position would make little sense to my imaginary microscopic observer. So he/she would never write down a potential or Lagrangian (at least not as a function of position) in any model intended to predict his/her observations. To us macroscopic beings the notion of position makes some sense but possibly only for macroscopic systems. So what would our microfriend write down?
Well both, in a some sense.atyy said:What theory is this? Just standard non-relativstic QM? There's a wave equation, and it makes sense just like the wave equation for an electromagnetic wave ... no?
The purpose of measuring position from a microscopic being's perspective is to gain a better understanding of how these tiny organisms navigate and interact with their environment. By studying their movements and positions, we can also learn about their behavior and how they respond to various stimuli.
Position for microscopic beings can be measured using various techniques such as microscopy, motion tracking software, and specialized equipment designed specifically for studying small organisms. These methods allow us to track the movements of these beings in real-time and determine their exact position in their environment.
One of the main challenges in measuring position for microscopic beings is their small size and fast movements. This makes it difficult to accurately track their positions and movements, and specialized equipment and techniques are often required. Additionally, the environment in which these beings live can also pose challenges in terms of lighting, temperature, and other factors that may affect their behavior.
Studying position from a microscopic being's perspective can have numerous benefits. It can help us understand the behavior and movements of these organisms, which can have implications for fields such as medicine and agriculture. Additionally, it can also provide insight into the functioning of complex biological systems and inform the development of new technologies.
Measuring position from a microscopic being's perspective can contribute to scientific research by providing a deeper understanding of these organisms and their interactions with their environment. This knowledge can be applied to various fields, including biology, ecology, and medicine, and can also help inform the development of new technologies and techniques for studying microscopic life forms.