Distance Corresponding to the Length Contraction Associated with a Measure of Blackbody Radiation.

Matching Significance to θsi: 6 digits
MQ Calculation: 84.6005496647(07) lf

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Inputs

  • θsi can be measured as the polarization angle of quantum entangled X-rays at the degenerate frequency of a maximal Bell state. As an angle θsi=3.26239 rad ± 2 μrad; as a momentum θsi=3.26239030392(48) kg m s-1 and with respect to the Target Frame, θsi has no units. The relation of angle and mass is mathematically demonstrated, as well, by No-Ping Chen, et. al.
  • lf, mf and tf are the fundamental measures, more precise expressions for Planck’s units – length, mass, and time – that consider the effects of length contraction associated with discrete measure.
  • ħ is the reduced Planck constant, 1.054571817 10-34 m2 kg s-1. When accounting for the Informativity differential at the upper count bound, this term is not italicized (i.e., ħ=1.0545349844(45) -34 m2 kg s-1).

Terms

  • QL is the fractional portion of a count of lf when engaging in a more precise calculation.
  • nLr describes the count of lf representative of a change in position of an observable measured with respect to the observer’s frame of reference.

Calculations


Experimental Support

[15] P. Mohr, B. Taylor, and D. Newell, CODATA Recommended Values of the Fundamental Physical Constants: 2010, p. 73 (2012), arXiv:1203.5425v1, arXiv:1203.5425v1.


Discussion

Expressions that include values quantum in measure are accurate only when all the terms in an expression are resolved with respect to phenomena also quantum in measure. Mixing quantum measurements with macroscopic measurements (i.e. most measures of the gravitational constant, G) will lead to a physically significant discrepancy because of the length contraction described by the Informativity differential.

The effect is unrelated to Einstein's relativity, a quality of discrete measure. As demonstrated with Heisenberg's uncertainty principle, there exists physically significant fundamental (indivisible) references which serve as discrete units of measure for relative to each dimensions. Consideration of any distance less than a reference is physically not possible, not because of a technological limitation, but because the universe is referential. Not only is this a core principle of special relativity, but numerous experimental results that test Heisenberg's uncertainty principle demonstrate its physical significance. Moreover, any argument for a measure smaller than an established reference would imply physical paradox, such as a count of fundamental length measures per increment of time measure greater than the speed of light.

Calculation of the blackbody demarcation can be resolved with the usual electromagnetic expression defining Planck's constant, as noted in any publication of the CODATA. To resolve the associated demarcation, we begin with the Pythagorean theorem organized such that side a describes the reference n Lr=1, side b describes the discrete Measurement Frame count nLr of lf and side c describes the non-discrete Target Frame count, (nLr + QL). The expression is then reduced to resolve the Target Frame distance (84.6005496647(07) lf) thus telling us the distance that corresponds to the measure of ħ with respect to blackbody radiation. We call this the blackbody demarcation.

Notably, with respect to an MQ nomenclature, values resolved with respect to the upper count bound are not italicized. Any other measure is italicized. This is particular relevant with respect to measures such as G, which is typically resolved macroscopically, and ħ which is typically resolved quantumly (i.e., a function of blackbody radiation).

Notably, with increasing distance, the length contraction effects described by the Informativity differential quickly diminish. At 2,247 lf the effect on distance is already less than the sixth digit. As such, the Informativity differential can often be rounded to one half (QLnLr=1/2) for any greater distance, this being the bound product.

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