Contraction and Dilation of Measure

Relativistic contraction and dilation are well explored concepts in modern theory, but do not include the Informativity differential,^{1(Appx. A)} a MQ effect six orders in magnitude smaller than that of relativity.^{2(Sec. 2.10)} This new effect arises because of bounds to measure.^{1(Eqs. 27-29)} Where we entertain a non-discrete reference frame,^{2(Sec. 3.4)} then position is absolute. But, given a discrete frame of reference, physically significant differences exist in the behavior of matter with respect to length, that being the remainder length Q_L of any discrete measure between an observer and some center of a gravitational mass.^{2(Sec. 2.2)}

But it isn’t this effect alone that is most interesting. Rather, the discreteness of measure allows for a deeper grasp of the properties of measure. Specifically, how measure relates to universal expansion^{1(Sec. 3.7)} opens the door to new approaches to understanding phenomena that have been distorted as a result of measurement quantization (i.e. the CMB).^{2(Sec. 3.6)} MQ allows for a wholistic system view of the universe (i.e. along the same lines as information theory), from the earleist epoch^{1(Sec. 3.13)} until present. And with a mathematical approach grounded in a system of quantized measure,^{1(Sec. 3.2)} we can consider new problems; for instance, we may compare properties of the CMB during its creation against what we see today to precisely unravel how time dilation has played a role in its evolution.^{2(Sec. 3.6)} We may take the distortion of measure one step further providing a system oriented approach to describing the dilation of time between the observer and the universe itself.^{2(Sec. 3.5)}

Lastly, we find in this field several new areas of exploration. For one, quantum inflation,^{1(Sec. 3.13)} describes an important epoch in the early formation of our universe. This research is physically collaborated from several experimental approaches. For instance, there exists support in the measure of the age, quantity, density and temperature of the CMB against the predicted values of measurement quantization.^{1(Sec. 3.14)} With this support, there is now a greater foundation with which to unravel a complete model of the universe from the earliest epoch to present. We may, for instance, return to earlier models, correct, modify and adapt the successes of quantum inflation^{1(Sec. 3.13)} with new data to continue to advance our understanding of the birth and life of the universe. And, potentially, there appears to be some opportunity to map out the initial conditions of the universe lending new clues to unraveling details of a fuller lifecycle.

Objectives

• Further analysis and confirmation of CMB measurement data^{1(Sec. 3.14)} with respect to the MQ calculations is needed to deepen this new approach to understanding the existence of the CMB and the earliest epoch^{1(Sec. 3.13)} of our universe.
• Time dilation can occur as a result of MQ and the geometric effects described by relativity. How do these effects alter our view of the universe as observers within the universe. New experiments are needed to better understand how the contraction and dilation of measure affects the observer with respect to the universe itself,^{2(Sec. 3.5)} not just a specific target also within the universe.

Inquiry

• Does universal expansion cause a distortion effect with respect to the measure of the universe?^{2(Sec. 3.5)}
• Were the laws of nature during the quantum inflationary epoch^{1(Sec. 3.13)} the same as those that we know about in the present. If not, did those differences play an additional physical role in the composition and evolution of our universe?
• What may we infer from the initial conditions of our universe about what was prerequisite to its birth? Can we resolve any physically significant qualities about the environment external to the earliest epoch of the universe?

Supporting Research

• Informativity Differential
• Contraction and Dilation with Motion
• Contraction and Dilation with Gravity
• Equivalence Between Motion and Gravity
• Dilation of the CMB Age
• The Observable Universe is Dilated
• Quantum Inflation