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Draft:Feasible Gravity

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Feasible Gravity, as conceptualized by Ghosal, represents the actual attractive force exerted by one celestial body on another, pulling it toward its center of mass. This force is a critical aspect of understanding celestial mechanics and the interactions between massive objects in the cosmos.

Ghosal's unique contribution lies in defining Feasible Gravity as a function of ñ, which he also refers to as SG’s “n” operator. This operator is integral to his theoretical framework, offering a novel approach to calculating and representing gravitational forces in a two-dimensional spacetime context.

In traditional Newtonian mechanics, gravity is described as a force directly proportional to the masses involved and inversely proportional to the square of the distance between them. Einstein’s theory of general relativity, on the other hand, describes gravity as the curvature of spacetime caused by mass and energy. Ghosal’s concept of Feasible Gravity builds on these ideas but introduces a new mathematical representation to more accurately describe the gravitational pull in specific scenarios.

The ñ operator functions as a unique parameter within Ghosal's equations, allowing for a more precise calculation of gravitational forces in his model of 2-D spacetime. This operator encapsulates various factors that influence gravitational attraction, providing a more nuanced and detailed understanding of how celestial bodies interact.

By redefining gravity through this lens, Ghosal aims to bridge gaps in current theoretical physics and offer a more comprehensive explanation of gravitational phenomena. His approach not only broadens the scope of existing theories but also paves the way for new research and potential discoveries in the field.

Overall, Feasible Gravity, as defined by Ghosal, represents a significant advancement in our understanding of gravitational forces. Through the application of the ñ operator, Ghosal introduces a refined method for analyzing the gravitational interactions between celestial bodies, contributing valuable insights to the realm of theoretical physics

This concept was first introduced in the book 'The Space-Time: As I Know It..[1]'

Ghosal’s 2-D Cartesian Representation of Space-Time and Equations

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INTRODUCTION

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Imagine a planet or any spatially oriented object that exhibits symmetry around its polar axis and possesses a near-uniform surface. By visualizing this object as a 2-D shape, the effective gravity curve can be represented by a curved line. The endpoints of this curve line coincide with the equatorial axis of the primary object.

This simplification to a 2-D representation allows for a more straightforward understanding of how gravity operates on such a body. The curve line effectively illustrates the distribution and intensity of the gravitational force across the object's surface, offering a clearer view of how gravity pulls towards the object's center of mass. This approach helps break down the complex three-dimensional reality into a more comprehensible two-dimensional model.

Here,

Where l2 is mathematically defined as:

here, G is the universal gravitational constant, M is the mass of the body and rav is the average radius of that body.

Feasible Gravity

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The actual attractive effect that a celestial body has on another body, that pulls the body towards its centre of mass is called Feasible Gravity.

It is defined as a function of ñ, which is also known as SG’s “n” operator.

The depression at a point on the effective gravity curve at any distance x(Taking the centre of mass of the object as the origin),

the equation of the y-coordinate at that point will be:

Here ñ is constant for the single celestial body throughout. And is also the ratio of l and r for that object.

Graphical Representation

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The planet and the curve are represented by:

Planet:

Curve:

The Distance between two celestial bodies curvature points due to the effective gravity

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This is given by R:

The Feasible Gravity Equation

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The Feasible Gravitational Force of Attraction between two celestial bodies is defined using a modified version of Newton’s gravity equation. This adaptation accounts for minute calculations and decimals, ensuring greater precision in the measurements. This force is referred to as the Feasible Gravitational Force of Attraction, represented by the symbol EFG. This new approach offers a refined perspective on gravitational interactions, providing a more detailed and accurate understanding of the forces at play between massive objects in space.

References

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  1. ^ Ghosal, Sounak (24 October 2024). The Space-Time (1st ed.). Kindle Direct Publishing. ISBN 979-8340798527.