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From: "jeffrey E." <[email protected]> To: Joscha Bach Subject: Re: Happy Birthday! And a great time! Date: Sun, 21 Jan 2018 01:44:30 +0000 Im thinking that there might be more than one kind of space.. its possible that spaces that fold back on itself like kline bottles. and other shaped spaces exist and maybe even in a way compete. For example if you have a space that like a knot folds back on itself. it makes more sense to define the speed of light as : one time all the way around that particular space. : , it is then the s"speed " is invariant. no matter what the space does. think of a donut with the speed of light defined as ONE TIME around. , scale invariant. . the concept of wormholes doesnt exist , and in essence you dont have multi verses but you have multi ( shaped ) spaces. . the space of solutions fo your turing problem is a shorter path around the space. the computation is done on the ring of donut. but by taking the cut across as a slice you arrive at the answer much faster though it has taken an infinite time ,to get there - it took the long way around.. I also have been playing with knot theory and see zenos paradox and others as a knot in logic space. . this sentence is true type of nonsense folds back in a single knot. very esthestic. and then every statment is false is simply the knot obvserved from the other side. Thin for your thoughts. and wishes. On Sat, Jan 20, 2018 at 8:33 PM, Joscha Bach <1 > wrote: Dear Jeffrey, I hope this one will be an inspiring, healthy and in every way worth wile year to you! I don't know what your mind is up too these days and I always interested to hear about it. I just thought a bit about time, this weird thing... Subjective time can be abstracted into the mentally represented events, which are partially ordered by relations that encode (in degrees of increasing distinction) non-simultaneity, succession, interval and temporal distribution, and anchored to temporal events by co-occurence relations. Subjective time spans that are not anchored to neural clock generators tend to reflect the density of novel elements we experienced, because these are disproportionally stored in the temporal protocol of our attention that we remember as our stream of consciousness. It seems that due to a decreasing frequency of novelty in the course of our life, the subjective middle of the life of an 90 year old would be around 18, perhaps echoing the ubiquitous law of Pareto. Our physical time is relativistic, of course: the rate of change an observer witnesses in its environment, which is relative to the rate of change in the observer itself. Particles that don't undergo state change don't witness relativistic time, and from my computationalist perspective, that corresponds to all underlying computation being applied to their momentum, i.e. the rate at which they are copied along the computational graph of the universe. The higher the rate of state changes in a particle, the slower the rate at which it propagates relative to its environment. Time is crucial, because it captures change, and without change, information has no meaning. Nothing has a discernible property unless this property can be compared to something: information is discernible difference, and all discernment requires a computable function that requires a change of state. The meaning of information is its relationship to changes in other information. Computationalist time may be just this: elementary state change of a computational substrate. From the perspective of an embedded observer, we won't be able to discern the nature of that change itself, because from the perspective of the emergent patterns that form the causal structures of our own dynamics, they are functionally the same. Yet its fascinating to speculate about the ground truth of change. EFTA00906011  In etemalist time, all time points are simultaneously instantiated (yet as embedded observers only see one of them, or rather, we are constituted in the relation between adjacent states). If a universe has multiple possible timelines, these might be instantiated in parallel; let's call it "fat time". Embedded observers won't know about the other parts of the instantiated space of possibilities, but only about the parts looping back to its trajectory on the computational graph. Dual state time may be an implementation of a universe where only input state and output state if the universe transition function exist. There might also be a just a global single state time, where the universe transition function alters the present state in-place all at once, and only a single time slice of the universe does actually exist. And of course, there could be also a local single state time, a giant substrate graph, in which a single read/write head only ever changes one bit at a time. Most models of foundational physics operate with a continuous temporal dimension, but I think I can see how we get Lorentz invariance in a discrete universe, too. I am wary of continuous time, because it is hypercomputational; it requires Turing machines that run to infinity in a single step, which means that the gods have to buy infinitely more expensive computers when they build their universes, and worse, it creates ugly wrinkles in our axiomatic systems that we don't know how to fix. It is not just that we have difficulty building hypercomputers as physical objects, I also have trouble to abstractly build them from first principles in all other universes I can think of. I think that is related to the my suspicion that our exploration of mathematics is exclusively done via processes of construction that all turn out to be computational themselves, not hypercomputational, but I will have to find out much more about this before I think I could prove that hypercomputers are indeed and surprisingly also a mathematical impossibility, and our universe must be fully discrete. Regardless of this, and with my fondest regards to you, and deepest thanks for your support, I wish you a great time! Joscha please note The information contained in this communication is confidential, may be attorney-client privileged, may constitute inside information, and is intended only for the use of the addressee. It is the property of JEE Unauthorized use, disclosure or copying of this communication or any part thereof is strictly prohibited and may be unlawful. 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