Mark's posts

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**3SAT==QBBR**: Humans 'see' only a tiny slice of the known electromagnetic spectrum. Interestingly enough, this 'visible light' is centered around the

**peak**of our Sun's 5800K blackbody curve.

Note here how

**random 3SAT cost**curves look & behave exactly like

**quantum blackbody radiation (QBBR)**curves, and that the most interesting & difficult 3SAT instances, which probably contain the most information, are also found centered around each curve's peak.

I am guessing that there exists a quantum algorithm (using say, a

**QFT**on superpositions of standing EM waves) that can solve any given 3SAT instance in

**O(n^3)**time, since the

**total**power radiated by a blackbody is proportional to O(T^4), with derivative O(T^3).

**QED. (c)**

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**Angle of Incidence == Angle of Reflection?**Well, not quite. But it is the most

**probable**result of the quantum computation that Nature returns, as the genius of Richard Feynman shows below, without any mathematics. Remember children, things are not their names or symbols...

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**The Human Quantum Search Algorithm**: Using photons (e.g. laser) to search for an object in an

**unlit**circular room gives a

**quadratic speed-up**over searching the room without photons, a result much like Lov Grover's quantum algorithm for searching an unsorted database.

Searching a

**dark circular room**of radius n requires

**O(n^2)**steps in the worst-case, where you must physically inspect all of the room's

**area**. With a laser, though, you can sweep the entire room's

**perimeter**from any static location (such as the center), and solve the search problem in

**O(n)**steps.

**QED.**

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**Young's Double-Slit Experiment:**Photons propagate out from a source spherically at speed c, covering an area of

**O(c^2)**in 2-D. Clearly, the closed system 'device' is computing something analogous to the 'natural' function

**x^2**going forward, and

**sqrt(x^2) = +/- x**in reverse:

**x^2 = x*x = self-interference <=> sqrt(x^2) = +/- x = uncertainty**

Nature also seems to return the

**quickest, most probable**result of the computation, which is found at the expanding perimeter of the photon's

**'propagation circle'**. Note how the height of the

**'peaks'**of the probability distribution curve coincide with the fastest

**'interception'**time of said circle, minus the destructive interference.

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Need to separate 3SAT hardness from 2SAT easiness for your P!=NP proof? Look no further than the Elementary Cellular Automata...

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**WWRFD?**(Physics v Women v Bongos) => Just Do It.

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**3SAT Cost Graph:**5000 individual instances clearly showing the phase-transition of

**"under-constrained" SATISFIABLE**formulae (blue) vs.

**"over-constrained" UNSATISFIABLE**formulae (red). The hardest, most interesting, and

**ILLUMINATING**instances are in-between, where the ratio of clauses to variables (m/n) is about

**4.5**(experimentally determined w/ n=50 variables). Theoretically, it may be

**3.0**, as n goes to infinity.

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**Stefan-Boltzmann Law:**The energy radiated by an ideal blackbody radiator per second per unit area is proportional to the fourth power of the absolute temperature (T^4).

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High-energy 3-D EM standing-waves which oscillate FREQUENTLY between +/- values are very unlikely to be chosen as an occupying quantized mode within a blackbody cavity. They are often UNSATISFACTORY.

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White Light + Triangular Prism => Sorted Poly-Chromatic Spectral Information.

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