Informativity Differential

The Informativity differential^{1(Appx. A)} is a measurement distortion effect that arises because measure is discrete.^{3(Sec. 2.2)} The effect has similarities and differences to relativity. This is best understood with an example.

Take for instance the MQ approach towards describing gravity as a change in length with respect to time.^{2(Sec. 2.2)} Because measure is discrete, there is always a remainder distance Q_L (as calculated by the Pythagorean Theorem) that is physically insignificant within the universal frame.^{2(Sec. 3.4)} At each instant in time t_f, matter behaves as though the remainder length Q_L is simply lost,^{1(Tbl. 2)} resulting in a change in position between an object and the center of a gravitational mass.

When compared to relativity, we find that the net effect on measure is a contraction effect^{2(Sec. 3.10)} which distorts the observer's understanding of length. The effect is six orders in magnitude smaller than that of relativity. But, different from relativity, the effect is the result of a dramatically different physical relationship.^{1(Appx. A)} This is not a geometric correlation that causes the appearance of either the contraction or dilation of measure. Rather, the Informativity differential is a by-product of the inability to measure a sufficiently small length (as is demonstrated by gravity). Thus, from the observer's point of view, Q_L does not exist.

Although there are several experimental approaches that can validate the effect,^{1(Sec. 3.3 & 3.4) 2(Sec. 3.10)} a direct measure has yet to be performed. Researchers investigating the Informativity differential^{1(Appx. A)} devise experiments that verify and explore the effects of discrete measure^{1(Sec. 3.2)} with respect to this effect. As noted prior, the effect may be measured with respect to several phenomena; for instance the measure of gravitational curvature,^{1(Tbl. 2)} the measure of the Newton and Planck constants^{1(Secs. 3.3 & 3.4)} and the measure of light deflection near a massive body such as a sun or a galaxy.^{2(Sec. 3.10)}

Objectives

• The direct and indirect confirmation of the Informativity differential.^{1(Appx. A)}
• More accurate measures of gravitaitonal curvature at quantum distances,^{1(Tbl. 2)} specifically distances less than 2247 l_f.
• More accurate measures of the time delay of light passing Jupiter. This particular method promises several orders of magnitude greater accuracy than the deflection of light near our sun.

Inquiry

• Is the variation in value of Newton's^{1(Tbl. 2)} and Planck's constants^{1(Tbl. 3)} proportional with respect to the expression 4Gθ_si²=ħc³?^{1(Eq. 40)}
• Are there alternate ways to approach the measure of the Informativity differential?^{1(Appx. A)}
• Are the effects of the Informativity differential^{1(Appx. A)} relegated only to the measure of length? That is, is there a distinct effect also with respect to the measure of time or mass, or are these measures relative refections of our understanding of length (and as such each one and the same)?^{1(Eq. 47)}

Supporting Research

• Informativity Differential
• Gravitational Constant
• Newton and Planck’s Constant Correlated
• Bounds to Measurement Frequency