I was wondering over the statistics problem I call the ABC problem. Say you have 3 walls in a circular path, of different heights, and between them are points marked A, B and C. If in any ‘turn’ the ‘climber’ attempts to scale the wall in the current clockwise or anti-clockwise direction. The chances of success are proportional to the wall height. If the climber fails to get over a wall, they reverse direction. A simple thing, but what are the chances of the climber will be found facing clockwise just before scaling or not a wall? Is it close to 0.5 as the problem is not symmetric?
More interestingly the climber will be in a very real sense captured more often in the cell with the highest pair of walls. If the cell with the lowest pair of walls is just considered as consumption of time, then what is the ratio of the containment time over the total time not in the least inescapable wall cell?
binomial distribution of the elimination of the ’emptiest’ when
repeating this pattern as an array with co-prime ‘dice’ (if all
occupancy has to be in either of the most secure cells in each ‘ring
nick’), the rate depends on the number of ring nicks. The considered
security majority state is the state (selected from the two most
secure cell states) which more of the ring nicks are in, given none
are in the least secure state of the three states.
For the ring nick array to be majority most secure more than two thirds the time is another binomial or two away. If there are more than two-thirds of the time (excluding gaping minimal occupancy cells) the most secure state majority and less than two-thirds (by unitary summation) of the middle-security cells in majority, there exists a Jaxon Modulation coding to place data on the Prisoners by reversing all their directions at once where necessary, to invert the majority into a minority rarer state with more Shannon information. Note that the pseudo-random dice and other quantifying information remains constant in bits.
The further result of adding in Coulomb force gradients into the theory of Uncertain Geometry. The GEM (Geometry/Gravity and Electro-Magnetism) Unification hints at the above table of particles. A mass genera of “Dark” matter (B), and some strange matter (A). The paper so far can be downloaded from Google Drive. I’m currently on the search for a suitable equation relating to the Weak force. I have no proof yet that it would be emergent, but the particle grid already includes a “dark matter” column (including a dark neutrino (yellow)), and a “not so dark” but very strange and heavy particles type A.
Lot of free energy videos about but does it actually work, or is it just virtual vapour wares? Here’s a highly unstable circuit I designed a few years ago. The magnetic balance is so fine, that an external field can throw the circuit into an unstable power spike. Then I went for an inductance modulation of lower scale, using a 3 phase (+++), to 1 phase (++-) arrangement, for greater stability. The difficulty with such devices is not the working, but the switch off without raising volts potential to any unlucky hands. This safety aspect is the ultimate reason of non use, and not as some suppose the disruptive effect on oil and other nuclear markets. Those markets may shrink, but will always be. The chemical industry will always have need of basic oil produce, and the lower short term profits of non burn, actually extend the future profits of chemical building. Transport is minor compared to health. The nuke industry could easily shrink, and still be big. The power waste of removing rods with 90% still effective power is a white wash of the electric power from a military objective. Reactors would be different for pure civil use.
Amazing colours, but what’s it really about? The Pu problem of fast breed, and somehow there will never be less of it, just does not add up for efficient too cheap to meter power promises of not too long ago. There seems to be no real research on gamma cavity down conversion technology. I wonder how long it will be before the nova bomb. The effective slowing of light to lower than the black hole threshold, at Sun core. I think the major challenge is getting super dielectrics far enough into the Sun without melt. I suppose this is some hyperbole focus problem. One day people will understand the simple application of button technology, and the boxes will judge and provide on intent or not. It’s not like they won’t have a self interest.