Classical and Quantum Gravity

Researchers may now approach gravitation as a measurement bound that behaves as a loss of length relative to the elapsed time of the observer.^{2(Sec. 2.2)} This new field of research is fundamental to the foundations of Informativity. Not only does measurement quantization rest beneath existing principles of classical mechanics, the model provides a specific mechanism that properly preserves and describes the quantum and discrete properties of classical behavior. For one, because of the whole-unit constraints of discrete relations between fundamental units of measure^{1(Sec. 3.2)}, MQ resolves the singularity issue. Additional gaps in the Standard Model are resolved as well, such as galactic rotation,^{3(Sec. 3.3)} precision and physical signficance issues with Planck's expressions^{1(Sec. 3.4)} and an understanding of the Fine Structure Constant.

Perhaps most notable and somewhat an understated property of MQ regards the implications of discrete measure.^{1(Sec. 3.2)} Consider ... the series of papers in the published record demonstrate the physical significance of discrete measure. That is, to emphasize, measure is invarient, fixed, immutable in the local frame. What this means is that spacetime cannot be curved,^{2(Eq. 72)} but that does not mean that spacetime does not appear or behave as though it is curved. Quite the contrary, spacetime appears and behaves as though it is curved, but from a technical point of view, the physically significant description is the discrete approach representative of Heisenberg's reduced form of the uncertainty principle.^{3(Eq. 23)} With that, we find a physical significance of measure that is discrete. And, as such, in a gravitational field with increasing strength, the magnitude of the remainder portion Q_L of a whole unit count of discrete length measures also increases, those remainder length units discarded at each instant of t_f in elapsed time.^{3(Fig. 1)} The curvature of spacetime is then physically described as the loss of Q_L with respect to elapsed time. The resulting behavior is one consistent with that of a curved spacetime. While the distinction is somewhat academic, the concept of a discrete space that is also curved is not compatible.

New research in gravity covers a significantly large landscape of disciplines. For one, more research is needed to provide greater detail with respect to the Informativity differential^{1(Appx. A)} as a property of gravitational curvature. Also, research providing more detail and breadth of scope at the quantum and cosmological scale is needed; for instance continued validation of predictions describing galactic rotation^{3(Sec. 3.3)} and the identification of the Newtonian crossover^{3(Fig. 4)} that occurs within galaxies.

Research into MQ also opens the door to a new understanding of what has previously been identified as dark matter,³ but for the most part the focus of this research centers on gravitation as a tangible, measurable phenomenon, similar to relativity but distinctly different in physical description. Where relativity discusses a geometric distortion of spacetime, the Informativity differential^{1(Appx. A)} describes a measurement bound effect.^{1(Eqs. 27-29)} The Informativity differential also impacts the measure of the gravitational and Planck constants.^{1(Sec. 3.3-3.4)} While the Informativity differential is indirectly measurable, there are exciting experiments underway such as the GAIA mission that promise direct detection through the time-delay of a signal passing Jupiter.

Objectives

• Research that addresses the finer details of gravitational curvature^{2(Eq. 72)} will continue to be a topic of great interest. Specifically, experiments that can discern the mechanism of how matter behaves within a gravitational field are of interest.

• Research that focuses on the MQ approach demonstrating the equivalence principle^{2(Eq. 72)} is also of interest. MQ does not utilize field theory, presenting gravitation from a geometric perspective. As such, MQ opens the door to physically correlated classical experimentation that can then approach force and the equivalence principle as geometric phenomena.

• Of particular interest in gravitational research is the MQ description of gravitation at the quantum end of the spectrum.^{1(Tbl. 2)} It is here that MQ differs the most from that of Newton's expression, although the difference is several orders in magnetude smaller than our best measurements. New indirect measures of this variation in G would provide new physical confirmation of the effects of discrete measure^{1(Sec. 3.2)} at the quantum scale.

Inquiry

• Can a proof be provided demonstrating that the MQ approach cannot lead to singularities?

• Can an experiment be designed to measure a quantum difference in the measure of G at distances less than 2,247 l_f?

Supporting Research

• Quantum Gravity
• Gravitational Curvature
• Gravitational Constant
• Informativity differential
• Equivalence between Motion and Gravity
• Galactic Rotation
• Crossover from Newtonian Behavior