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Elaborating on threads in abstract space idea I tried today to apply canonical formalism of classical mechanics. Thread kinematics involves two abstract coordinates q₁ and q₂ which correspond to memory addresses and their dereferenced values respectively. Although these are discrete variables (N), we can generalize them to be continuous (R₊). The motivation lies in the discreteness of physical measurement: if we divide [0,1] interval into 2⁶⁴ sub-intervals we get approximately 5.421e-20 values which are small indeed even by today’s experimental standards. Next we introduce dynamic variables called v₁ and v₂ which correspond to the rate of change of an address and the rate of change of a value respectively. These are called generalized velocities (we leave the definition of momenta for the next time). These can also be continualized according to the same line of thought we used for generalized coordinates. So finally we have R₊² x R₊² space. R₊² can be complexificated into the subset of C and we get the subset of C². If we allow negative addresses and values we get full R² x R² space or, after complexification, the full complex C² space which is well-known for its magic in physical theories. If we have N threads we get C²ⁿ space.

Now we can go forward and employ all apparatus of classical physics Just one final remark for now, we need to call the particle: I propose to name it classical μ-memuon.

 

¹ The founder of Physics of Debugging

- Dmitry Vostokov @ DumpAnalysis.org -

           

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This entry was posted on Tuesday, August 5th, 2008 at 11:14 pm and is filed under Fun with Crash Dumps, Science of Memory Dump Analysis. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.