Quantum Gravity 368.2: Reminder About HSP Quantum Approximations
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From: OsherD on 1 May 2010 21:41 From Osher Doctorow I should remind readers that the recent papers in this thread have concerned HSP ("Human Scale/Scenario Physics") as a Unification theory or alternative of Quantum Gravity. As I have described in this thread, various Quantum approximations to HSP exist, including the Nonlinear Schrodinger Equation and the Gross- Pitaevski Equation (GPE) which apply to solitons, Bose-Einstein Condensates (BECs), etc. When the spatial unmixed partial derivatives such as Dxx, Dyy, Dzz are small, the Laplacian or DELTA^2 operator can be approximately ignored in these equations, and they simplify into first partial derivative (including time) and related equations (like characteristic equations or equations of characteristics in PDEs) which are properly in HSP. It is arguably not surprising that large "spatial accelerations" like Dxx, Dyy, Dzz and large speeds/velocities relative to HSP and many microscopic phenomena (which are extremely small compared to HSP) introduce distortions which deviate from HSP. Recall from my recent postings here that, arguably, whatever the scale of the Observer (in this case the Human Observer), the physics will look like HSP at that scale and the other scales asymptotically or "near-asymptotically" will be distorted. So if a galaxy-scale Observer or a Quantum scale observer exists, that observer would obtain HSP or an analog or almost- analog of it for his local or near-local region, with the other scales being distorted. Osher Doctorow
From: OsherD on 1 May 2010 21:48
From Osher Doctorow For time-acceleration, however, that is for the operator Dtt (2nd derivative or partial derivative with respect to time), HSP still applies, because Probable Causation/Influence (PI), the key to HSP, involves Causation as basically a time quantity. So the acceleration eras of the Universe are well handled by PI and HSP. Osher Doctorow |