Cosmic Influx Theory/Chapter 2

Chapter 2: The Role of VRMS in Planetary Structuring

Introduction

One of the fundamental insights of the Cosmic Influx Theory (CIT) is that the structure of planetary systems is not random but follows a predictable pattern based on the Root Mean Square Velocity (VRMS) of the original protoplanetary disk.

This chapter explores:

• The definition and significance of VRMS in planetary dynamics.
• How VRMS determines the Preferred Distance (D_pref).
• The role of the Universal Scaling Constant (κ_CIT).
• The link between VRMS and observed exoplanetary systems.

---

2.1 How VRMS is Related to Cosmic Structuring

The Root Mean Square Velocity (VRMS) is a statistical measure of velocities within a system. In CIT:

• The original protoplanetary disk had a characteristic VRMS velocity.
• This velocity defines a "preferred distance" at which mass concentration occurs.
• The largest planets tend to form near this distance.

Mathematically, the preferred distance is given by: $D_{\text{pref}}={\kappa }_{\text{CIT}}\times M_{\text{star}}$ ........(1)

A major discovery in CIT is the introduction of the Universal Scaling Constant (κ_CIT), which determines the preferred distance ($D_{\text{pref}}$) at which planetary mass concentrations occur:

${\kappa }_{\text{CIT}}=\frac{D_{\text{pref}}}{M_{\text{star}}}\left[\frac{\text{m}}{\text{kg}}\right]$ ........(2)

where ${\kappa }_{\text{CIT}}$ is found to be:

${\kappa }_{\text{CIT}}=\frac{1}{8\pi c^2}=4.4\times 10^{-19}\text{ m/kg}$ ........(3)

${\kappa }_{\text{CIT}}=\frac{G}{V_{\text{RMS}}^2}$

The value for Kappa-CIT is ${\kappa }_{\text{CIT}}=4.427093908810190\times 10^{-19}$.

This remarkable connection suggests that:

1. Planetary structuring is governed by fundamental constants, linking gravitational mass distributions with the speed of light.
2. The Preferred Distance is an intrinsic property of cosmic structuring, with its foundation in both mechanics and electrodynamics.
3. The scaling factor $\frac{1}{8\pi c^2}$ unites gravitational and electromagnetic structuring, reinforcing the self-consistency of CIT.

These equations accurately predicts the location of giant exoplanets in other star systems, reinforcing CIT’s validity.

---

where:

• ${\kappa }_{\text{CIT}}$ is the Universal Scaling Constant for Planetary Structuring.
• $M_{\text{star}}$ is the mass of the central star.

This explains why Jupiter and Saturn are located where they are—near the VRMS-derived preferred distance.

---

2.2 The Connection Between CIT and General Relativity

CIT does not reject General Relativity but extends it by suggesting:

1. The gravitational field is not just a curvature of spacetime but also a flow of energy.
2. The gravitational acceleration at the surface (𝑔 or a) depends on the intensity of the influx, which in turn is proportional to the total mass of the object.
3. The observed planetary distances are not random but derive from a cosmic structuring principle.

---

2.3 The Preferred Distance (D_pref) and its Calculation

CIT introduces the concept of the Preferred Distance (D_pref), which is the distance at which the most massive planets tend to form.

The equation for D_pref is:

$D_{\text{pref}}={\kappa }_{\text{CIT}}\times M_{\text{star}}$

where:

• ${\kappa }_{\text{CIT}}$ is the Universal Scaling Constant for Planetary Structuring with a value of 4.4271E-19 equal to G divided by VRMS^2..
• $M_{\text{star}}$ is the mass of the central star.

This relation explains why:

• Jupiter and Saturn formed at their observed distances.
• Exoplanets tend to cluster at specific locations.
• The structure of planetary rings and gaps in protoplanetary disks follows a predictable pattern.

---

2.4 Empirical Confirmation from Exoplanetary Systems

The predictions of CIT align closely with observed exoplanetary systems:

• The distribution of exoplanets shows clustering of dust and gasses at specific distances.
• Protoplanetary disks exhibit gaps that correlate with D_pref.
• The TRAPPIST system may host a yet-undiscovered giant planet near D_pref = 7.825 × 10^{10} m.

Selection of an extended Excel file with calculations for the Preferred Distance in exo star systems

Further observational data from the James Webb Space Telescope (JWST) could provide additional confirmation.

---

2.5 Implications for Planetary Formation Models

The connection between VRMS and planetary structuring suggests that:

1. Planetary migration models may need to incorporate VRMS-based structuring.
2. The gravitational constant (G) may have a deeper relation to VRMS.
3. Galactic structure formation may follow similar VRMS-based principles.

Future research could extend CIT beyond planetary systems to galactic evolution.

---

Summary

This chapter introduced:

• The concept of VRMS and its role in planetary dynamics.
• The equation for the Preferred Distance (D_pref).
• How CIT aligns with exoplanet observations.
• Implications for **planetary formation models**.

In the next chapter, we will explore how the Cosmic Influx is related to the gravitational constant (G).

---

Navigation: Template:Button Template:Button Template:Button

---

Notes

• This is a draft version of Chapter 2 of the Cosmic Influx Theory.
• Once finalized, it will be linked to the main Cosmic Influx Theory Wikiversity page.