The Hypothesis of Cosmic Gravitational Dissipation and the Restriction of Dissipation by Nearby Bodies

The Hypothesis of Cosmic Gravitational Dissipation and the Restriction of Dissipation by Nearby Bodies Author: Walid Awad Sadiq Email: wlydabyswy@gmail.com Testable Working Hypothesis Proposal The Relationship Between Local Gravitational Weakening, Water Depth, and Basin Area in Tidal Amplification Request for Numerical Simulation Support to Validate or Falsify the Hypothesis --- First: Brief Background This proposal is part of an independent research program in theoretical physics that considers the hypothesis that gravity may arise from internal dissipative processes and dynamics (dissipation) within the mantles of planetary bodies, with these processes being influenced by the effects of nearby and distant bodies. One branch of this hypothesis proposes that nearby bodies, such as the Moon, do not affect water through direct gravitational attraction in the conventional sense, but rather cause a localized weakening of the effective gravitational field at certain regions of Earth's surface, particularly the region directly facing the Moon and the region opposite it on the other side of Earth. According to this hypothesis, tides are a response of the water to this localized change in gravity, rather than a result of conventional differential tidal forces. The hypothesis further proposes that a decrease in local effective gravity may alter the hydrostatic equilibrium of water and the shape of its surface, such that as effective gravity decreases, the water tends to redistribute itself into a form that is closer to a spherical or bulging shape compared with its state under stronger gravity. This point is also proposed as a testable component of the hypothesis, rather than as an assumed fact. This document does not claim to provide a final proof of the hypothesis. Rather, it presents an initial testable formulation and requests the use of numerical simulation to study the behavior of water under an assumed localized reduction in gravity, followed by comparison of the results with actual observed tidal data. --- Second: Observation Motivating the Hypothesis The primary observation that led to the formulation of this hypothesis is that the magnitude of tidal elevation varies enormously from one location to another, even though the source of the lunar influence is essentially the same for Earth at a given moment. For example: - In the middle of the open ocean, where there is a vast and largely unconstrained body of water, the theoretical equilibrium tide is on the order of a few tens of centimeters. - In certain coastal and enclosed locations with specific geometries, such as the Bay of Fundy in Canada, the tidal range can exceed 15 meters. This large difference raises a fundamental question: If the causative factor is approximately the same across Earth, why does the response of the water differ so dramatically from one location to another? The hypothesis proposes that the final magnitude of the effect does not depend only on the magnitude of the local gravitational weakening, but is also influenced by the way this weakening interacts with the geometry of the water basin, its depth, its area, and its natural oscillation characteristics. Accordingly, tidal amplification may result from an interaction between a local causal factor and the physical and geometrical properties of the water basin responding to it. --- Third: Proposed General Formulation As an initial proposal, the tidal elevation or change in the water surface, denoted by: Δh is considered to be a function of three primary factors: - ε = the assumed magnitude of local gravitational weakening. - A = the surface area of the water basin. - h = the depth of the water basin. Therefore: Δh = ε × f(A,h) where f(A,h) represents the response function of the water basin to local gravitational weakening. Initial Hypothesis for the Behavior of the Function The hypothesis initially proposes the following: 1. Dependence on Basin Area A The hypothesis assumes that increasing the area of the basin may increase the ability of the water system to accumulate or amplify the effect resulting from the local change in gravity, and may therefore increase the measured surface response. 2. Relationship with Depth h The hypothesis assumes that decreasing the depth may amplify the surface response, because the same change would act on a smaller depth of water and could therefore appear more strongly as a change in water-surface elevation. Accordingly, the initial proposed relationship is that: - Increasing the basin area may increase the magnitude of the response. - Decreasing the depth may increase the magnitude of the response. However, these relationships are not considered established results. They are initial predictions that must be tested numerically. --- Fourth: The Relationship Between an Open Basin and a Narrow Basin According to this hypothesis, the difference between the open ocean and bays or enclosed basins with large tidal ranges may be interpreted as a difference in the response of the water system itself. In the open ocean, where the depth is relatively large and the area is widely open, the value of f(A,h) may be relatively small, resulting in a limited surface response to local gravitational weakening. In contrast, in a water basin whose depth gradually changes and whose geometry becomes more confined, the response may become amplified through the interaction between: - Decreasing depth. - The area and shape of the basin. - The geometrical boundaries of the basin. - The propagation of waves within it. - The natural oscillation frequency of the water. This raises the possibility that geometrical resonance may be an additional important factor in tidal amplification. --- Fifth: The Possibility of Geometrical Resonance The hypothesis does not assume that depth and area alone explain the entire difference in tidal elevation. Therefore, the possibility of an additional term in the function f(A,h) representing geometrical resonance should be tested. In other words, a water basin may possess a natural oscillation frequency, and if this frequency approaches the frequency of the tidal forcing, a significant increase in response amplitude may occur. Accordingly, a more general form of the model could be: Δh = ε × f(A,h,R) where R represents a factor or term associated with resonance and the natural geometry of the basin. The objective is to determine whether this term is actually necessary, or whether the relationship between gravitational weakening, depth, and basin area is sufficient to explain the results. --- Sixth: Required Numerical Simulation The relevant research group is requested to perform a numerical simulation of water behavior under a controllable localized reduction in the gravitational field, while varying the parameters independently in order to test the hypothesis rather than assume its validity. The study is proposed to include the following: 1. Testing the Magnitude of Gravitational Weakening Introduce a small and defined reduction in the gravitational field within a specific region of the model, and then study the response of the water surface. The simulation should be repeated for several values of ε in order to determine whether the response is: - Linear. - Nonlinear. - Or characterized by a specific minimum or maximum threshold. 2. Testing the Effect of Depth Perform the same simulation at different depths while keeping the other variables as constant as possible, in order to determine whether decreasing the depth actually leads to an increase in surface-response amplitude. 3. Testing the Effect of Basin Area Change the basin area while keeping the depth and other conditions as constant as possible, in order to determine whether increasing the area actually increases the response. 4. Testing Basin Geometry Compare basins with different geometries, such as: - An open basin. - A rectangular basin. - A basin with gradually varying depth. - A narrow basin whose width gradually decreases. - A model approximating the geometry of the Bay of Fundy. The objective is to separate the effects of area and depth from the effects of geometrical shape and resonance. 5. Testing Several Forms of the Function f(A,h) Test several possible mathematical forms, such as: - Linear relationships. - Quadratic relationships. - Exponential relationships. - Nonlinear ratios. - Or a formulation that includes a geometrical resonance term. Each model should then be compared with the simulation results and actual observational data. --- Seventh: Comparison with Real Tidal Data After obtaining the simulation results, the model should be applied to at least two contrasting cases: Case One: Open Ocean Use documented data from a region in the open ocean where the tidal amplitude is relatively small. Case Two: Bay of Fundy Use documented data from the Bay of Fundy in Canada, where the tidal range exceeds 15 meters in some locations. The numerical results should then be compared with the actual observed values. The objective is not simply to select parameters that make the model fit the data, but rather to determine: Can the model, using one consistent set of physical rules and parameters, move from the small-tide condition of the open ocean to the large-tide condition observed in the Bay of Fundy? If it cannot, this would constitute an important result against the hypothesis. If, however, it achieves good agreement with the observations, this would provide justification for proceeding to more advanced tests. --- Eighth: Testing the Spherical-Shape Hypothesis for Water Another important element to be tested is the relati