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Recalculating the Mass of Earth The Bipartite Nature of Mass and the Recovery of Atomic Mass from Dodecahedral Quanta

This paper proposes a bipartite ontology of mass within an Info-Magneto-Electrostatic framework, arguing that the Earth's catalogued mass conceals distinct inert (Mahatva) and interactive (Gurutva) components derived from a viscous celestial plenum and dodecahedral quanta, thereby reinterpreting gravity as a plenum vortex pressure gradient rather than an intrinsic property of matter.

Original authors: Satinder Singh Malik

Published 2026-07-30

📖 7 min read🧠 Deep dive

CC BY 4.0

Original authors: Satinder Singh Malik

Original paper licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

The Great Cosmic Scale: Why Weighing the Earth is Trickier Than It Looks

Imagine trying to weigh a giant, spinning basketball that you can't touch, can't lift, and is floating in a vast, invisible ocean. That is essentially what scientists have been trying to do for centuries: figure out exactly how heavy the Earth is. In the world of physics, this falls under the study of gravity and mass. For a long time, we've treated mass as a single, simple thing: the amount of "stuff" inside an object. We also treat gravity as a mysterious pull that objects exert on each other across empty space. But here's the catch: to weigh the Earth, scientists have to use a specific number called Newton's gravitational constant (G). The problem is, nobody can agree on what that number actually is. It's like trying to bake a cake using a cup that keeps changing size every time you measure it. Because of this, the standard number we have for Earth's weight might be a bit fuzzy, and it might be hiding a deeper secret about what gravity actually is.

This paper, written by Dr. Satinder Singh Malik, asks a bold question: What if the Earth doesn't have just one mass, but two? And what if gravity isn't a pull at all, but a push? The author suggests that space isn't empty; it's filled with a real, fluid-like substance (called a "plenum") that acts like a cosmic ocean. In this view, the Earth isn't just sitting there; it's spinning inside a whirlpool of this invisible fluid. The paper argues that the "weight" we feel is actually the pressure of this fluid pushing on us, and the "mass" we calculate is a mix-up of two different things: the heavy, solid core of the planet and the thin, interactive skin that touches the fluid. By separating these two, the author recalculates the Earth's mass and suggests it's actually about 20% lighter than the textbooks say, while also explaining why the planet spins the way it does.

The Two Faces of the Earth: A Tale of Two Masses

So, how does this new way of looking at things work? Dr. Malik proposes that the Earth has a "bipartite" nature, meaning it has two distinct parts that play different roles. Think of the Earth like a heavy, dense bowling ball (the core) wrapped in a very thin, sticky layer of bubblegum (the surface).

1. The Heavy Core (Mahatva)
The first mass is the "inert nucleonic mass," or what the paper calls Mahatva. This is the actual, dense "stuff" of the Earth—the rocks, the iron core, the dirt. It's the heavy bowling ball. The paper calculates this mass to be 4.765 × 10²⁴ kg. This is about 20% less than the famous number you see in textbooks (5.972 × 10²⁴ kg). Why the difference? The author argues that the textbook number includes an "inflation" caused by the Earth's own gravity squeezing the planet tighter than it naturally wants to be. If you could take the Earth out of its own gravity and let it relax to a normal pressure, it would be lighter. This is the true amount of substance the planet contains.

2. The Sticky Skin (Gurutva)
The second mass is the "interactive cohesive mass," or Gurutva. This is the thin bubblegum layer. In this theory, gravity doesn't pull on the heavy core; it only grabs onto the outer electron clouds of the atoms, which act like a skin. This skin interacts with the invisible "ocean" of space (the plenum). The paper calculates this mass to be incredibly small: 9.59 × 10⁹ kg. That's tiny compared to the core! It's the only part of the Earth that the cosmic ocean actually "grips" to create what we feel as weight.

Gravity is a Push, Not a Pull

The most playful part of this theory is how it explains gravity. Usually, we think of gravity as a magnet pulling things down. But Dr. Malik suggests it's more like a crowd of people pushing you toward the center of a room. Imagine the Earth is a spinning fan in a pool of water. As it spins, it creates a whirlpool. The water (the plenum) swirls around the fan. If you drop a leaf into this whirlpool, the water doesn't "pull" the leaf; the water pressure pushes the leaf inward toward the center of the swirl.

In this paper, the "plenum" is a real, viscous fluid that fills all of space. Its density is numerically identical to a known electrical constant (the permittivity of free space), suggesting that electricity and gravity are two sides of the same coin. The Earth spins, dragging this fluid with it, creating a vortex. The "weight" you feel on a scale is just the pressure of this swirling fluid pushing down on your electron-skin.

The Mystery of the Spin: Who is the Driver?

Here is where the story gets even more interesting. The paper looks at the Earth's rotation (its spin). If the Earth were just a dead rock spinning in a fluid, the fluid's drag would eventually slow it down, and it would spin backward (retrograde) or very slowly. But the Earth spins fast and forward.

The author calculates that the Earth's spin is actually being driven by an external force: the Sun's magnetic field. It's like a cosmic motor. The Sun's magnetic field sweeps past the Earth, and this interaction pushes the Earth's core, keeping it spinning against the drag of the fluid. The paper calculates a "rotational inertia" of 1.41 × 10¹³ kg, which is the tiny amount of spin the local fluid could support on its own. The fact that the Earth spins much faster than this suggests that the Sun is constantly "refueling" the Earth's spin. This explains why the Earth hasn't stopped spinning over billions of years; it's an open machine, not a closed one.

The Quantum Puzzle: Why Two Masses?

To prove that mass really has two parts, the author dives down to the quantum level, looking at atoms. They use a geometric model where space is made of tiny, 12-sided shapes (rhombic dodecahedra) packed together like a honeycomb. They try to count how many of these "cells" make up a hydrogen atom.

When they try to count only the heavy nucleus (the proton), the math fails; the atom comes out too light. But when they count the proton as the heavy core and the electron as the light, interactive skin, the math works perfectly. The atom's mass is recovered exactly as an integer count of these space-cells. This suggests that mass is fundamentally "bipartite" (two-part) all the way down to the smallest scale: a heavy core and a light, interactive boundary.

What This Means for Us

The paper concludes that the single number we use for Earth's mass is a "conflation"—a messy mix-up of these two different physical realities, contaminated by a constant (G) that we can't measure precisely. By separating them, we get a clearer picture:

The Earth is lighter in substance than we thought (4.765 × 10²⁴ kg).
Gravity is a pressure gradient from a fluid ocean, not a pull.
The Earth is an open system, constantly driven by the Sun's magnetism.

The author is careful to note that this is a speculative framework. It fits the data we have (like the orbits of satellites and the Moon) without needing the mysterious constant G, but it challenges our deepest assumptions about what space and mass are. It suggests that if we could measure the Earth without using the "broken cup" of Newton's constant, we would find a planet that is lighter, gripped only at its surface, and kept spinning by its star. The paper invites scientists to test these ideas, perhaps by looking for tiny differences in how light travels vertically versus horizontally, or by checking if the gravitational constant changes as the Earth's day length fluctuates. Until then, the Earth remains a mystery, spinning in a fluid sea, with a mass that might be two things at once.

Technical Summary: Recalculating the Mass of Earth – The Bipartite Nature of Mass and the Recovery of Atomic Mass from Dodecahedral Quanta

1. The Problem: The Ambiguity of Planetary Mass
The paper identifies a fundamental metrological and ontological issue in the standard determination of the Earth's mass ( $5.972 \times 10^{24}$ kg). The author argues that this single catalogued figure is a conflation of physically distinct quantities, derived through a chain of inference that relies on Newton's gravitational constant ( $G$ ). The paper highlights that while the geocentric gravitational constant ($GM$) is known with high precision (2 parts per billion) via satellite laser ranging, the constant $G$ itself is the least precisely known fundamental constant (uncertainty ~22 parts per million) and exhibits persistent discrepancies between experimental determinations. Consequently, the absolute mass of the Earth is treated as a "G-contaminated" artifact. Furthermore, the paper posits that classical physics treats mass as a monolithic property, failing to distinguish between the quantity of substance (inertia) and the mechanism of gravitational coupling (weight).

2. Methodology: The Info-Magneto-Electrostatic Framework
The proposed solution rests on a "bipartite ontology of mass" grounded in a structured vacuum model called the "celestial plenum." The methodology proceeds through four distinct theoretical layers:

The Plenum Medium: Space is modeled not as a void but as a real, viscous, compressible fluid with an operational density ( $\rho_0$ ) numerically identical to the permittivity of free space ( $\varepsilon_0 \approx 8.854 \times 10^{-12}$ kg/m³). Gravity is reinterpreted not as an intrinsic pull but as an inward pressure gradient (electron drag) generated by a vortex in this medium.
Bipartite Mass Definition: Mass is split into two distinct components:
- Mahatva (Inert Nucleonic Mass): The dense, non-interactive substance contained within atomic nuclei. It represents the quantity of matter and the seat of inertia.
- Gurutva (Interactive Gravitational Mass): The thin boundary of the electron clouds that couples to the surrounding plenum. This is the only part of the body that the medium "grips" to generate weight.
Quantum Floor and Mass Recovery: The paper proposes that space is composed of gap-free rhombic dodecahedral cells, forming a fractal lattice with a "base-thirteen" census law ( $N_{total} = 13^n$ ). Particle masses are recovered as integer counts of these cells. The author demonstrates that a single-component mass recovery (anchoring only on the nucleus) fails to match observed masses and violates neutrino mass bounds. However, a bipartite recovery—anchoring simultaneously on the proton (inert core) and electron (interactive boundary)—successfully recovers the hydrogen atom mass to four significant figures and passes a statistical lattice test ( $z = -2.46\sigma$ ).
Kinematic Invariants: The framework utilizes the Plenum Influence Parameter ( $\Phi = v^2r$ ), which is numerically equivalent to $GM$ but treated as a primary kinematic observable derived solely from orbital radius and period, bypassing $G$ entirely.

3. Key Contributions and Recalculation
Applying this framework to the Earth yields three distinct figures, replacing the single Newtonian mass:

Gravitational Mass (Gurutva): Calculated as the volume of the Earth multiplied by the plenum density ( $\rho_0$ $ρ_{0}$ ).
- Result: $9.59 \times 10^9$ kg.
- Significance: This represents the "interactive skin" of the planet that couples to the medium. It is roughly 14 orders of magnitude smaller than the catalogued mass, reflecting that gravity acts on the electron-cloud boundary, not the bulk substance.
Inert Nucleus Mass (Mahatva): Calculated as the volume of the Earth multiplied by the uncompressed material density ( $\rho_{unc} \approx 4,400$ $ρ_{u n c} \approx 4, 400$ kg/m³).
- Result: $4.765 \times 10^{24}$ kg.
- Significance: This is approximately 20% lower than the catalogued value. The paper attributes the difference to "gravitational self-compression," an artifact of the Newtonian accounting where the planet's own weight (mediated by $G$ ) artificially inflates the bulk density. The recalculated figure represents the substance the Earth would possess at laboratory pressure.
Rotational Inertia (Derived): Calculated from the work-energy balance between internal rotational kinetic energy and external fluidic work.
- Result: $1.41 \times 10^{13}$ kg.
- Significance: This figure is 11 orders of magnitude smaller than the inert mass. The paper interprets this massive deficit not as an error, but as evidence that the Earth is an open thermodynamic system. The Earth's rotation is not a conserved relic but is continuously driven by the Sun's magnetic field acting on the planet's nuclear spins, overcoming the braking drag of the plenum.

4. Independent Corroboration and Predictions
The paper validates the framework through six independent checks that require no fitted constants:

Constancy of $\Phi$ : The Plenum Influence Parameter remains constant to within 0.15% across the orbits of Mercury through Saturn.
Planetary Mass Ratios: Ratios of planetary masses derived from $\Phi$ ratios agree with accepted astronomical values to within 1.4%.
Surface Gravity: Predictions for surface gravity ( $g = \Phi/R^2$ ) match observations for Earth, Mars, the Sun, and Jupiter within 0.1% to 5%.
Sub-surface Profile: The model predicts a linear rise in gravity from zero at the center (removing the $r=0$ singularity), matching the Preliminary Reference Earth Model (PREM).
Satellite Orbits: Predicted orbital speeds for the ISS and navigation satellites match tracked data within 0.4%.
Density-Permittivity Identity: The framework treats the plenum density and vacuum permittivity as the same quantity, a numerical identity of five significant figures.

5. Significance and Claims
The paper claims to offer a "reparametrisation" rather than a rejection of classical mechanics. Its primary significance lies in:

Ontological Clarity: It separates the "quantity of substance" from "gravitational coupling," resolving the equivalence principle as a consequence of a fixed ratio between nucleonic and electronic structures rather than a fundamental postulate.
Metrological Independence: It provides a method to determine planetary masses and dynamics without relying on the poorly measured constant $G$ .
Mechanistic Explanation: It offers a physical mechanism for planetary rotation (solar magnetic infusion) and internal heat (Joule heating from induced currents), reframing the Earth as an active machine rather than a passive body.
Testability: The paper explicitly lists falsifiable predictions, including vertical anisotropy in the speed of light, a correlation between $G$ measurements and the length of the day, and excess drag on low-orbit satellites.

The author concludes that the familiar mass of the Earth is an average over distinct physical roles, and that a "bipartite" view grounded in a structured medium yields a lighter, uncompressed substance mass and a dynamic, externally driven rotational state. The framework is presented as a speculative but mathematically consistent proposal that aligns with established measurements where testable while identifying specific areas for future experimental verification.