Chapter 3: The Cosmic Influx and the Gravitational Constant (G)

Introduction

The gravitational constant (G) is one of the fundamental parameters in physics, defining the strength of gravity. However, its precise origin remains unknown in classical physics. The Cosmic Influx Theory (CIT) provides a new perspective by linking G to an ongoing energy influx that interacts with celestial bodies.

This chapter explores:

How G is related to the Cosmic Influx.
The mathematical connection between G, vacuum energy, and Lorentz transformations.
How CIT refines the understanding of gravity.

3.1 The Traditional Definition of G

In Newtonian physics, the gravitational constant is defined by:

$F = G \frac{m_{1} m_{2}}{r^{2}}$

where:

$F$ is the gravitational force.
$G$ is the gravitational constant ( $6.674 \times 1 0^{- 11} m^{3} k g^{- 1} s^{- 2}$ ).
$m_{1}$ and $m_{2}$ are masses.
$r$ is the distance between them.

However, G is an empirically measured value rather than a derived fundamental constant. CIT proposes that G emerges from the properties of the Cosmic Influx.

3.2 The Connection Between G and the Cosmic Influx

Introduction

The Cosmic Influx Theory (CIT) proposes that gravity is not an intrinsic force but a manifestation of a universal energy influx. This influx rate is exactly equal to the Gravitational Constant ( G ), both in value and in units. In this section, we explore the derivation of this relationship and its implications.

The Gravitational Constant as an Influx Rate

The Gravitational Constant ( G ) is expressed as:

G = 6.674 × 10⁻¹¹ m³ / (kg·s²)

This unit structure suggests a volumetric influx rate per unit mass. The mass ( M ) of a celestial body influences the influx rate by distributing it over its surface area.

To calculate the total influx passing through a planetary surface, we use:

$Δ M_{influx} = g \cdot A$

where:

g is the acceleration at the surface (e.g., Earth: 9.82 m/s²)
A = 4pi.R^2 is the surface area of the planet

Substituting Earth's values:

$Δ M_{influx} = 9.82 * 4 π * (6.371 * 1 0^{6})^{2}$

ΔM_influx ≈ 5 * 10¹⁵ m³/s²

This yields a volumetric influx rate that aligns with G, supporting the interpretation that gravity results from a universal influx.

Connection to the Lorentz Transformation of Mass-Energy

CIT further relates the influx rate to relativistic corrections using the Lorentz factor ( gamma ):

$Δ M_{influx} = (γ - 1) \cdot M$

ΔM_influx ≈ 5 * 10¹⁵ m³/s²

where:

Symbol	Meaning
$γ$	Lorentz factor: $\frac{1}{\sqrt{1 - \frac{v^{2}}{c^{2}}}}$
$v$	$V_{R M S}$ (Root Mean Square velocity of particles in a planetary system)
$c$	Speed of light

For Earth's mass, the calculated ( gamma ) correction factor yields:

$(γ - 1) / 4 π = G$

This shows that gravity is fundamentally linked to the volumetric universal influx, which drives mass-energy growth.

Equivalence of Gravity, Acceleration, and Influx

The equivalence principle states that gravitational acceleration is indistinguishable from acceleration due to motion (as in a rocket). CIT extends this by stating that influx-based gravity is also equivalent to both effects. The following image illustrates these three perspectives:

This visualization supports the claim that gravitational effects emerge from a steady universal influx, aligning with both Newtonian mechanics and relativistic principles.

Conclusion

The Cosmic Influx Theory provides a new perspective on gravity, defining it as an emergent effect of a universal influx rate. This influx is quantitatively identical to Newton’s Gravitational Constant $ G $ and is fundamentally tied to relativistic mass-energy growth. The implications of this view open new avenues for understanding cosmic evolution and planetary formation.

3.3 The Role of Vacuum Energy in Gravity

Modern physics suggests that vacuum energy (or the quantum field) contributes to gravity. CIT refines this by proposing:

The energy influx into planets creates mass-energy conversion.
This influx contributes to the observed strength of G.

A fundamental question in physics is whether gravity emerges from the intrinsic properties of empty space. CIT proposes that vacuum energy—described by the electromagnetic constants ε₀ (vacuum permittivity) and μ₀ (vacuum permeability)—plays a key role in defining the gravitational constant.

Maxwell’s equation for the speed of light in a vacuum,

$c^{2} = \frac{1}{ε_{0} μ_{0}}$

suggests that the nature of space itself determines fundamental physical laws. CIT extends this reasoning by expressing G in terms of c², leading to:

$G = \frac{v_{RMS}^{2}}{8 π c^{2}}$

This equation implies that gravitational attraction is fundamentally tied to the electromagnetic properties of the vacuum. It supports the idea that space is not truly empty but consists of an energy field that governs mass accumulation and gravitational interactions.

Implications for Cosmic Structure:

The Preferred Distance of planets can be predicted using vacuum properties.
The observed increase in mass-energy of celestial bodies over time is linked to an influx of energy.
Gravity may emerge as a result of variations in the vacuum’s energy density, reinforcing a connection between relativity, electromagnetism, and planetary formation.

This relationship shows that the speed of light is not just a fundamental constant but is deeply tied to the electromagnetic properties of the vacuum.

Relativity and c²: In Einstein's theory of relativity, $c^{2}$ emerges as a conversion factor between mass and energy, encapsulated in the famous equation $E = m c^{2}$ .

This equation indicates that energy and mass are interchangeable, with $c^{2}$ acting as the proportionality constant.

Energy of the Vacuum: Quantum field theory posits that the vacuum is not empty but filled with fluctuating energy fields. These fluctuations contribute to phenomena like the Casimir effect, where $c^{2}$ plays a role in the quantum dynamics and the manifestation of virtual particles.

Cosmic Implications: In cosmology, the concept of $c^{2}$ is integral to understanding the fabric of spacetime and the distribution of energy and matter in the universe. The vacuum energy, often associated with dark energy, is critical in the expansion of the universe, with $c^{2}$ linking this expansive force to the underlying quantum fields.

Equation

$a_{p} = \frac{0.5 M c^{2}}{A \times κ}$

where:

$A$ represents the surface area of the Earth.
$κ$ ("kappa") is given as $1.86633597688 \times 1 0^{- 26} m/kg$ .

This equation expresses a specific energy relation:

$\frac{0.5 c^{2} \times M}{A} = 5.26216573499 \times 1 0^{26} Joules$

where $A$ is the surface area of the Earth.

Component Analysis

In our investigation, we explore two principal elements, designated as Component A and Component B.

Component A pertains to a specific energy representation, expressed as $0.5 m c^{2}$ .

 This formulation is typically associated with kinetic energy in classical mechanics but is now applied in a relativistic context.  
 The application of a  $0.5$  coefficient in conjunction with  $m c^{2}$  introduces a comparative analysis of relativistic kinetic energy or a specific energy condition under consideration.

Component B, conversely, involves the Einsteinian gravitational constant, $κ$ , which is central to the Einstein field equations in general relativity.

 This constant establishes a correlation between the curvature of spacetime and the energy-momentum tensor, embodying the distribution of mass-energy in the universe.  
 The utilization of the absolute value of  $κ$  in our analysis underscores our focus on the quantitative magnitude of this constant, abstracting away from its vectorial properties.

Together, Components A and B underscore a multifaceted approach to understanding physical phenomena, bridging concepts from relativistic dynamics and gravitational theory to forge a comprehensive analytical framework.

These components A and B relate the acceleration to the broader context of this Influx Theory. It is proposed to be the accelerated influx, dragging objects to the center of mass.

3.4 Conclusion: A New Paradigm for Gravity

CIT reinterprets gravity as an effect of a continuous influx of energy toward mass centers, where the vacuum plays an active role. By linking the gravitational constant to vacuum permittivity and permeability, this theory provides a new perspective on the fundamental nature of space and gravity.

Expanding balloons as a kindergarten-level analogy for Cosmic Influx Theory, illustrating that celestial objects also expand proportionally, in contrast to traditional Big Bang models. This aligns with the Einsteinian equation M = E/c², the foundation of CIT.

This approach challenges the conventional view that gravity is a purely geometric effect of spacetime curvature, suggesting instead that mass-energy interactions with the vacuum define the gravitational force we observe.

3.5 Observational Evidence and Implications

The proposed mass growth rate per cubic meter of 4*10⁻⁹ kg/m³ is based on an estimated mass increase of the Earth, related to observed geological activity such as volcanic eruptions and ocean spreading. These observations suggest mass growth, though mainstream geologists typically claim this increase to be compensated by subduction processes.

1. Volcanic Activity

Ongoing eruptions, such as those on Earth, Mars, and Io, release lava, gases, and ash, indicating active internal processes and contributing to mass-energy transfer within planetary systems [105].

2. Ocean Spreading

Tectonic plates diverge at mid-ocean ridges, creating new oceanic crust. This continuous process adds material to the Earth’s surface, suggesting mass growth through crust formation and movement

Suggesting Expanding Earth and Expansion Tectonics with subduction and uplifted mountain ranges

For many years, Tharp’s contributions to science were overshadowed by her male colleagues. Bruce Heezen, who had originally dismissed her discovery, eventually embraced her work. But it was often his name that appeared on the scientific papers and in the media. Tharp, like many women in science at the time, worked behind the scenes, receiving little recognition for her groundbreaking contributions."

Marie Tharp and the Discovery of the Atlantic Ridge.

3. Earthquakes

Tectonic plate movements cause seismic activity, shifting Earth's crust. These events release energy and contribute to the redistribution of mass within the planet, supporting theories of dynamic growth and change.

4. Mountain Building

Continental collision results in the formation of mountain ranges, such as the Himalayas. This process involves the compression and uplift of Earth's crust, redistributing mass across the surface.

5. Plumes and Rifts

Volcanic plumes, like those on Venus and Earth, and rift zones, such as the East African Rift, show crustal stretching and material flow, suggesting mass addition from below the surface.

6. Meteoritic Material

Meteor impacts contribute mass to planetary bodies. Although relatively small in scale, these events provide additional evidence for mass accumulation from external sources.

This estimate represents a simplified, average rate of mass increase over the Earth's entire surface area.

Read: EXPANSION: The 5th Dimension

90 pages – An overview of searches on Google Earth (also Mars and Moon) indicating expansion. Not only about Earth but also about many planets and moons.

Summary

This chapter introduced:

How G is linked to the Cosmic Influx.
The relation between G, Lorentz transformations, and vacuum energy.
Observational implications of a non-constant G.

In the next chapter, we explore the Mass growth Across Geological Epochs on Earth .

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Notes

This is a draft version of Chapter 3 of the Cosmic Influx Theory.
Once finalized, it will be linked to the main Cosmic Influx Theory Wikiversity page.

Cosmic Influx Theory/Chapter 3

Contents

Chapter 3: The Cosmic Influx and the Gravitational Constant (G)

Introduction

3.1 The Traditional Definition of G

3.2 The Connection Between G and the Cosmic Influx

Introduction

The Gravitational Constant as an Influx Rate

Connection to the Lorentz Transformation of Mass-Energy

Equivalence of Gravity, Acceleration, and Influx

Conclusion

3.3 The Role of Vacuum Energy in Gravity

Equation

Component Analysis

3.4 Conclusion: A New Paradigm for Gravity

3.5 Observational Evidence and Implications

Summary

Notes

Navigation menu

Cosmic Influx Theory/Chapter 3

Chapter 3: The Cosmic Influx and the Gravitational Constant (G)

Introduction

3.1 The Traditional Definition of G

3.2 The Connection Between G and the Cosmic Influx

Introduction

The Gravitational Constant as an Influx Rate

Connection to the Lorentz Transformation of Mass-Energy

Equivalence of Gravity, Acceleration, and Influx

Conclusion

3.3 The Role of Vacuum Energy in Gravity

Equation

Component Analysis

3.4 Conclusion: A New Paradigm for Gravity

3.5 Observational Evidence and Implications

Summary

Notes

Navigation menu

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