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HOUSE_OVERSIGHT_013631

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understanding. These discontinuous and global transformations are the stuff of miracles, especially for physicists. Even with respect to initial and end-states, rather than using straight forward phenomenological observation, the mathematical and physical theories of phase transitions are usually dependent on not necessarily intuitive, derivative physical quantities. Their verbal representations are often not concrete but metaphoric. This retreat to derived and abstract, far from the primary data computables, may be more evidence of man’s many insufficiencies in understanding of the mysteries that are often placed in the spiritual realm. Driven by an effect that contributes to cause, like the faith-driven abandonment to God that generates more faith, a drop of water hanging from a faucet is pulled down by its own gravitational field as the thinning neck of the drop facilitates its own further thinning. A gobbet connected by a thick neck to the main drop begins to separate. The neck between them thins and breaks, and one becomes suddenly and irreversibly two. A continuous structure has suddenly become discontinuous in finite time at what is called a singularity. Since the single measurable feature that dominates the water’s behavior around this singularity is the diameter of the thinning neck, a derivative physical, one-dimensional observable, neither the details about where it all began (called the initial conditions) nor the path it followed to get to the moment of fracture, are predictively relevant with respect to the sudden transition. Considering this kind of phenomenon going on in our brains, choosing between theories of behavior that involve changes in brain cell groups and/or brain chemicals versus those that involve behavioral quantities, may be neither possible nor necessary. The challenge is to place the problems of cataclysmic change in brain and behavior in sufficiently abstract and universal terms that can be represented in some low dimensional, compu

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