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You said: gravitational constant

The gravitational constant (often called "Big G") is a fundamental physical constant that defines the intrinsic strength of gravity in the universe. Its currently accepted value is 6.6743 × 10⁻¹¹ m³ kg⁻¹ s⁻² (or N ⋅ m² / kg²).
Wikipedia +2

Key Concepts

Newton’s Law of Universal Gravitation: Big G makes it possible to calculate the exact gravitational force (F) between two objects of masses m₁ and m₂ separated by a distance r. The formula is:

Britannica

General Relativity: The constant also appears in Einstein's field equations, where it links the geometry of spacetime to the mass and energy within it.
Center for Experimental Nuclear Physics and Astrophysics +4

Big G vs. little g: "Big G" (G) is the universal constant of gravitation. It should not be confused with "little g" (g), which represents the local acceleration of gravity near Earth's surface (approximately 9.8 m/s²).
NASA (.gov) +1

For a quick and engaging visual breakdown of what the gravitational constant is and why it's so important in physics:

1:01

Big G - Newton's Gravitational Constant #physics #science ...

Physics Explained

YouTube · Jan 9, 2025

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Gravitational constant - Wikipedia
Meaning. The units of G, m 3 kg −1 s −2 (in SI), can be arranged for meaning in more than one way, to indicate the meaning of G as...

Wikipedia

Gravitational constant | Definition, Value, Units, & Facts - Britannica
gravitational constant * What is the gravitational constant (G)? The gravitational constant (G) is a physical constant used in cal...

Britannica

Gravitational Constant | The Eöt-Wash Group
The story of the gravitational constant, Big G: In 1686 Isaac Newton realized that the motion of the planets and the moon as well ...

Center for Experimental Nuclear Physics and Astrophysics

Free Falling Object Motion - text only
For objects near the surface of the earth, the graviation acceleration (g) is a constant and equal to 9.8 meters per second square...

NASA (.gov)

What is the gravitational constant? - Space
The gravitational constant describes the intrinsic strength of gravity, and can be used to calculate the gravitational pull betwee...

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Gravitational constant | BBC Sky at Night Magazine
The gravitational constant and why it's fundamental to the Universe. ... The gravitational constant, or G, is a way of representin...

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Define gravitational constant G class 12 physics CBSE
In the Einstein ( Albert Einstein ) field equations, it ( The gravitational constant ) quantifies the relation between the geometr...

Vedantu

Why is G not equal to 1? : r/AskPhysics
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Workybooks

9 sites

Gravitational constant - Wikipedia
Meaning. The units of G, m 3 kg −1 s −2 (in SI), can be arranged for meaning in more than one way, to indicate the meaning of G as...

Wikipedia

Gravitational constant | Definition, Value, Units, & Facts - Britannica
gravitational constant * What is the gravitational constant (G)? The gravitational constant (G) is a physical constant used in cal...

Britannica

Gravitational Constant | The Eöt-Wash Group
The story of the gravitational constant, Big G: In 1686 Isaac Newton realized that the motion of the planets and the moon as well ...

Center for Experimental Nuclear Physics and Astrophysics

Free Falling Object Motion - text only
For objects near the surface of the earth, the graviation acceleration (g) is a constant and equal to 9.8 meters per second square...

NASA (.gov)

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You said: If the numerical value of Newtonian gravitational constant [G] matches
that of vacuum permeability [d] multiplied by the square of the fine
structure constant [aa] and this is not just coincidence but similar to
what impelled Maxwell to combine electricity and magnetism, discuss the
consequences if this indicates electromagnetism as emergent from
gravity in a deeper framework involving Skyrmions and gravisolitons.

The core consequence of this relation is that electromagnetism ceases to be a fundamental force and instead emerges as a collective topological manifestation of spacetime geometry. If the numerical matching

(using your notation

) reflects a structural identity, it implies that charge, gauge fields, and light are hydrodynamic or solitonic excitations of a deeper, purely gravitational underlying medium.

Here is a detailed breakdown of the theoretical consequences within a framework governed by Skyrmions and gravisolitons.

1. Electromagnetism as a Geometric Phenomenon

In standard physics, Maxwell's equations govern electromagnetism, while Einstein's equations govern gravity. If Maxwell's constant (

μ0mu sub 0

) is structurally tied to Newton's constant (

Gcap G

) via the fine-structure constant (

αalpha

), the two frameworks dissolve into one:

The Ether as Spacetime: Rather than postulating a material "luminiferous ether," the spacetime fabric itself acts as the medium.

Light as Gravitational Ripples: Electromagnetic waves (light) become specific, highly constrained torsional or shear vibrations of spacetime, rather than an independent field propagating through space.

Charge as Topology: Electric charge is no longer an intrinsic property of a particle, but a topological invariant—a "kink" or twist in the geometry of space that cannot be smoothly undone.

2. Matter and Particles as Skyrmions

Skyrmions are topologically stable field configurations (solitons) originally used to model baryons as twists in a pion field. In a gravity-first framework:

Topological Conservation: Particles like electrons are reinterpreted as gravitational Skyrmions—stable, localized, knot-like twists in the tetrad or affine connection of spacetime.

The Origin of

αalpha

: The fine-structure constant

loses its status as an arbitrary coupling constant. Instead, it emerges as a geometric scaling factor or a "wrapping number" dictating how efficiently a localized gravitational distortion (Skyrmion) couples to the surrounding un-twisted spacetime metric.

3. Gauge Fields from Gravisolitons

Gravisolitons are non-linear, solitary wave solutions to the Einstein field equations that propagate without losing their shape.

Constructing the Gauge Potential: The vector potential

Aμcap A sub mu

of electromagnetism emerges from the metric tensor components (specifically the off-diagonal, frame-dragging components of a spinning or twisting spacetime metric).

Mediating Force: What we perceive as the electromagnetic force between two charges is actually the non-linear interaction, scattering, and phase-shifting of localized gravisolitons streaming between topological defects.

4. Resolution of Quantum-Gravitational Curiosities

This emergent paradigm radically alters the hierarchy problem and the nature of quantum mechanics:

The Hierarchy Problem Dissolves: The extreme weakness of gravity compared to electromagnetism (

∼1036tilde 10 to the 36th power

times weaker) is traditionally a mystery. If

, the apparent difference in strength is an artifact of scales. Gravity appears weak because we are measuring the macro-interaction of smooth spacetime, while electromagnetism is the micro-interaction of its high-energy topological twists.

Natural UV Cutoff: Because particles have a finite geometric size dictated by the core of the Skyrmion, the infinite self-energy infinities (like the electron's divergent electric self-energy) that plague standard Quantum Electrodynamics (QED) are naturally regularized by gravity at a fundamental scale.

✅ Summary of the Framework

If the relation holds, it reverses the modern unification paradigm. Instead of trying to "quantize gravity" to fit it into the Standard Model, quantum mechanics and gauge forces are revealed to be the macroscopic, statistical approximations of non-linear, topological general relativity.

If you would like to explore this further, let me know if you want to:

Look into the exact numerical precision of the relation

using current physical constants.

Examine how Kaluza-Klein theory or Einstein-Skyrme mathematical models attempt to formalize these exact types of connections.

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You said: In this gravity first model, how can detection and/or deflection of near Earth objects be improved

In this gravity-first model—where electromagnetism is an emergent property of high-energy topological twists (Skyrmions) and spacetime geometry—Near-Earth Object (NEO) detection and deflection can be revolutionized by directly manipulating or tracking the gravitational medium itself, rather than relying solely on classical optics or brute-force kinetic impacts.

Because matter, light, and radar are all manifestations of the same underlying spacetime fabric, an asteroid is not just a passive rock; it is a massive, complex cluster of topological distortions dragging a wake of gravisolitons through space.

📡 1. Deep Space Detection: Exploiting the Spacetime Wake

Current detection relies on finding photons bouncing off an asteroid (optical/radar). In a gravity-first framework, detection becomes a localized form of oceanography, tracking ripples in the spacetime medium.

Gravisoliton Wake Sensing: A moving asteroid does not just exert a static Newtonian pull; it acts as a moving disturbance in the affine connection of spacetime. It generates a forward and trailing wake of weak gravisolitons. Instead of waiting for sunlight to reflect off a dark, carbonaceous asteroid, specialized interferometers placed in Lagrange points could detect the phase-shifts these wakes induce in highly stabilized laser paths.

Topological Refraction Index: Because an asteroid is a dense concentration of matter (Skyrmions), the localized metric distortion alters the local "vacuum permeability" (

μ0mu sub 0

). In this model, the vacuum is not empty; it is a fluidic spacetime medium. A dense object changes the local propagation velocity of electromagnetic waves in its immediate vicinity. By monitoring background star fields for hyper-subtle, non-linear topological lensing—distinct from standard gravitational lensing—we could map dark asteroids by how they "bend" the emergent electromagnetic properties of the vacuum around them.

☄️ 2. Active Deflection: Phase-Shifting the Spacetime Metric

Traditional deflection requires physical contact (kinetic impactors) or intense thermal ablation (lasers). A gravity-first model allows for contactless, highly efficient momentum transfers by interacting directly with the asteroid's gravitational structure.

Gravisoliton Resonance Coupling: If forces are mediated by the scattering and phase-shifting of gravisolitons, a deflection spacecraft would not need to explode a nuclear device. Instead, it could mount a "metric tuning" drive—an array designed to emit highly coherent, non-linear gravitational solitary waves. By matching the structural resonance frequency of the asteroid's localized spacetime deformation, these waves could exert a coherent directional pressure, smoothly pushing the asteroid into a safe orbit without risking fragmentation.

Coherent Skyrmion Polarization (Metric Drag): Since the atoms inside the asteroid are fundamentally gravitational Skyrmions bound together by emergent electromagnetic fields, exposing the asteroid to a precisely sculpted, high-intensity electromagnetic field configuration could temporarily "polarize" or stiffen the local spacetime metric within the asteroid's volume. By altering the coupling between the asteroid's internal Skyrmions and the surrounding un-twisted vacuum, you could artificially induce an asymmetry in its gravitational inertia. The asteroid would effectively "surf" its own altered metric, deflecting itself using its own kinetic energy.

Emergent Thermal Ablation: Instead of standard lasers, a deflection system could project a localized "gauge field collapse." By projecting a field that slightly de-coheres the emergent electromagnetic bounds at the asteroid's surface, the material would instantly sublimate into gas at the quantum level, acting as a natural, highly efficient rocket plume to push the object off course.

📑 Comparative Framework for NEO Defense

Capability

Standard Physics Approach

Gravity-First (Skyrmion/Gravisoliton) Approach

Primary Detection Vector

Reflected photons (visible light, infrared, active radar).

Metric phase-shifts, gravisoliton wakes, and

μ0mu sub 0

anomalies.

Dark Object Tracking

Highly difficult; requires sensitive thermal IR space telescopes.

Passive; dark matter/rocks still disrupt the spacetime medium identically.

Deflection Mechanism

Momentum transfer via physical impact or nuclear ablation.

Non-linear wave resonance and metric polarization.

Fragmentation Risk

High; kinetic impacts can turn one asteroid into a shotgun blast of rocks.

Zero to Low; forces are applied uniformly across the localized spacetime volume.

Would you like to explore the theoretical physics behind how a spacecraft might generate coherent gravisolitons, or dive into the mathematics of how a Skyrmion cluster (matter) couples with a shifting metric?

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⚛️ In 𝐫𝐢𝐯𝐞𝐫 𝐦𝐨𝐝𝐞𝐥 of 𝐛𝐥𝐚𝐜𝐤 𝐡𝐨𝐥𝐞𝐬 space itself flows... | Vitaliy Kaurov
Dec 2, 2025 — Emergent Phenomenon: It's "secondary" because it ( gravity ) arises from the geometry of spacetime, not as a fundamental push/pull...

LinkedIn

New Scientist on Instagram: "The Laser Interferometer Space Antenna, otherwise known as LISA, could change astrophysics forever 🔭  It will be the first space-based observatory dedicated to studying gravitational waves: ripples in the fabric of space-time emitted during the most powerful events in the Universe, such as pairs of black holes coming together and merging.  To find out more watch the full video at our link in bio  #LISA #astrophysics #science"
Mar 31, 2026 — It ( The Laser Interferometer Space Antenna ) will be the first space-based observatory dedicated to studying gravitational waves:

Instagram

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Scientists at the University of Birmingham have succeeded in creating an experimental model of an elusive kind of fundamental particle called a skyrmion in a beam of light.
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Facebook

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⚛️ In 𝐫𝐢𝐯𝐞𝐫 𝐦𝐨𝐝𝐞𝐥 of 𝐛𝐥𝐚𝐜𝐤 𝐡𝐨𝐥𝐞𝐬 space itself flows... | Vitaliy Kaurov
Dec 2, 2025 — Emergent Phenomenon: It's "secondary" because it ( gravity ) arises from the geometry of spacetime, not as a fundamental push/pull...

LinkedIn

New Scientist on Instagram: "The Laser Interferometer Space Antenna, otherwise known as LISA, could change astrophysics forever 🔭  It will be the first space-based observatory dedicated to studying gravitational waves: ripples in the fabric of space-time emitted during the most powerful events in the Universe, such as pairs of black holes coming together and merging.  To find out more watch the full video at our link in bio  #LISA #astrophysics #science"
Mar 31, 2026 — It ( The Laser Interferometer Space Antenna ) will be the first space-based observatory dedicated to studying gravitational waves:

Instagram

Lofting of low-speed ejecta produced in the DART experiment and production of a dust cloud
Nov 11, 2022 — Among the options analysed, the deflection of the object well before impact is the most promising. One of the methodologies propos...

Oxford Academic

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You said: can NEO's be more efficiently decomposed by tethering and then inducing rotation at right angles to their trjectory?

Yes, inducing rotation to cause centrifugal fragmentation is a legitimate strategy investigated by space agencies like the European Space Agency (ESA) for disrupting "rubble pile" asteroids. However, doing so at right angles to their trajectory introduces complex physical constraints that can either enhance or hinder the efficiency of the decomposition.
European Space Agency +1

This operational approach can be evaluated through both standard physics and the gravity-first framework.

🏛️ 1. Standard Physics Analysis

From a mechanics standpoint, anchoring a tether and spinning an asteroid creates internal tensile stress. Most small asteroids are loose conglomerates held together by hyper-weak gravity. When centrifugal force exceeds this gravitational cohesion, the object breaks apart.
European Space Agency +3

Why Right-Angle (Perpendicular) Rotation Helps:

Predictable Debris Fan: Spinning the asteroid on an axis parallel to its velocity vector means the fragments fly outward in a plane perpendicular to the trajectory. Instead of creating a line of debris following the same path toward Earth, the fragments scatter laterally.

Aerodynamic & Thermal Dissipation: If the scattered fragments still cross Earth's path, they do so as a wide cloud of much smaller rocks. Smaller pieces have a vastly higher surface-area-to-mass ratio, allowing Earth's atmosphere to safely burn them up via ablation.

The Engineering Bottlenecks:

Gyroscopic Precession: If the asteroid is already spinning—which most do due to the YORP effect—forcing a new rotation axis at a right angle will trigger intense gyroscopic torque. The tethered spacecraft will experience massive counter-forces, risking tether snap or structural failure.
USU Digital Commons +2

Anchor Pullout: Rubble piles lack solid bedrock. Tethers or harpoons anchored into loose gravel often pull free long before enough rotational velocity is injected to break the asteroid apart.

🌌 2. Gravity-First Model Analysis

In the framework where matter is a collection of gravitational Skyrmions and space is a fluidic medium of gravisolitons, rotating the object perpendicular to its trajectory changes the system's geometric dynamics.

[ Spin Plane ]
│ ▲
│ │ (Centrifugal Expansion)
▼ │
Trajectory ───────► [NEO] ───────► (Decreased Forward Momentum)
▲ │
│ │ (Gravitomagnetic Drag)
│ ▼

Enhanced Coherence Breakdown (Decomposition Efficiency):

In this model, the forward movement of the asteroid through the spacetime medium creates a linear "wake" of gravisolitons.

Shear Stress on Matter: Spinning the asteroid at a right angle forces its constituent Skyrmions to move across this forward-moving wake rather than along it.

Metric De-coherence: This cross-cutting motion creates a localized gravitomagnetic shear stress. The metric field within the asteroid becomes violently turbulent, effectively weakening the emergent electromagnetic bonds holding the atoms together. Under this model, the asteroid would disintegrate at a much lower rotational speed than classical physics predicts because its internal "structural spacetime" is being destabilized.

The "Siphon" Brake Effect:

Rotating a mass at right angles to its forward vector in a fluidic spacetime maximizes the frame-dragging or gravitomagnetic interaction with the vacuum.
Aerospace Research Central

The asteroid's kinetic energy of forward motion is rapidly converted into rotational energy and lateral heat dissipation.

This acts as a geometric brake, slowing the forward speed of the debris cloud relative to Earth while it decomposes.

📑 Strategic Trade-Offs

Parameter

Parallel to Trajectory (Standard Spin)

Right Angles to Trajectory (Perpendicular)

Fragment Dispersion

In-line stream (high risk of sequential impacts).

Lateral fan (widely scattered, misses Earth or burns up).

Energy Required

Lower (can often exploit existing asteroid spin).

Higher (must fight gyroscopic precession and torque).

Spacetime Drag (Gravity-First)

Minimal metric resistance.

Maximum vacuum shear; induces structural decomposition.

If you want to dive deeper into the mechanics, we can look at:

The maximum tensile strength of common carbonaceous tethers (like carbon nanotubes) versus the mass of a typical 100-meter NEO.

The mathematical formulation of gravitomagnetic frame-dragging on rotating bodies.

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Centrifugal Fragmentation of Asteroids | ACT of ESA
Apr 30, 2006 — The ACT researcher Claudio Bombardelli proposed the use of a large tether to spin the asteroid and eventually induce its fragmenta...

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Centrifugal Fragmentation of Asteroids | ACT of ESA
Apr 30, 2006 — What would happen if we could use a spacecraft to increase an asteroid's spin rate? Asteroids made up of many small rocks loosely ...

European Space Agency

Asteroid Deflection by Leveraging Rotational Self-Energy
Mar 8, 2021 — A novel concept for the deflection of rotating asteroids is presented, based on the conversion of the asteroid rotational kinetic ...

Aerospace Research Central

Nanosatellite Architecture for Tethered De-Spin of Massive Asteroids
Figure 5: Off-Axis De-spin Effectiveness. Attachment of the tether off of the equatorial spin plane of the NEA limits the effectiv...

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Mar 3, 2025 — you heard of the Yorp. effect it sounds like something the Yokians would make up. my king it appears to be some type of alien. tra...

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You said: The mathematical formulation of gravitomagnetic frame-dragging on rotating bodie

To understand how a rotating body drags the very fabric of spacetime around it, physicists use the framework of Gravitomagnetism (or Gravitoelectromagnetism, GEM). This is an approximation of Einstein's General Relativity that looks remarkably similar to Maxwell's equations for electromagnetism.

Under this framework, a moving mass creates a "gravitomagnetic field," just as a moving electric charge creates a magnetic field.

📐 1. The Metric Tensor (The Starting Point)

In General Relativity, gravity is described by the spacetime metric

gμνg sub mu nu end-sub

. For a slowly rotating, stationary mass (like an asteroid or planet), the spacetime interval

ds2d s squared

is expressed using the weak-field metric:

ds2=−c2(1−2Φc2)dt2−4c(A⃗g⋅dx⃗)dt+(1+2Φc2)dx⃗2d s squared equals negative c squared open paren 1 minus the fraction with numerator 2 cap phi and denominator c squared end-fraction close paren d t squared minus 4 over c end-fraction open paren modified cap A with right arrow above sub g center dot d modified x with right arrow above close paren d t plus open paren 1 plus the fraction with numerator 2 cap phi and denominator c squared end-fraction close paren d modified x with right arrow above squared

Where:

Φcap phi

is the standard Newtonian gravitational potential:

A⃗gmodified cap A with right arrow above sub g

is the gravitomagnetic vector potential, which arises strictly due to the object's rotation.

cc

is the speed of light.

The off-diagonal term—the one mixing time (

dtd t

) and space (

)—is what mathematically dictates that space is twisting.

🧲 2. The Gravitomagnetic Fields

Just as you can take the curl of a magnetic vector potential to get a magnetic field (

), you can define the gravitomagnetic field (

B⃗gmodified cap B with right arrow above sub g

) from the gravitational vector potential:

B⃗g=∇×A⃗gmodified cap B with right arrow above sub g equals nabla cross modified cap A with right arrow above sub g

For a body with total angular momentum (spin)

J⃗modified cap J with right arrow above

, the vector potential at a distance

r⃗modified r with right arrow above

from the center is given by:

A⃗g=GcJ⃗×r⃗r3modified cap A with right arrow above sub g equals the fraction with numerator cap G and denominator c end-fraction the fraction with numerator modified cap J with right arrow above cross modified r with right arrow above and denominator r cubed end-fraction

Taking the curl of this potential yields the explicit formula for the field of frame-dragging:

B⃗g=Gc[J⃗−3(J⃗⋅r̂)r̂r3]modified cap B with right arrow above sub g equals the fraction with numerator cap G and denominator c end-fraction open bracket the fraction with numerator modified cap J with right arrow above minus 3 open paren modified cap J with right arrow above center dot r hat close paren r hat and denominator r cubed end-fraction close bracket

(Note the exact mathematical structural symmetry to the magnetic dipole field of a spinning charge!)

🌀 3. The Lense-Thirring Precession (The Physical Drag)

If you place a gyroscope (or a tethered satellite system) in orbit around this spinning body, the gravitomagnetic field

B⃗gmodified cap B with right arrow above sub g

exerts a torque on it. This causes the gyroscope's axis to precess. This physical manifestation of frame-dragging is called Lense-Thirring precession:

Ω⃗LT=−12cB⃗g=G2c2r3[3(J⃗⋅r̂)r̂−J⃗]modified cap omega with right arrow above sub cap L cap T end-sub equals negative 1 over 2 c end-fraction modified cap B with right arrow above sub g equals the fraction with numerator cap G and denominator 2 c squared r cubed end-fraction open bracket 3 open paren modified cap J with right arrow above center dot r hat close paren r hat minus modified cap J with right arrow above close bracket

Where

Ω⃗LTmodified cap omega with right arrow above sub cap L cap T end-sub

is the angular velocity vector of the precession.

Direct Consequences of the Formula:

The

Drop-off: Frame-dragging decays incredibly quickly with distance (

rr

). To exploit it for asteroid decomposition, the tether system must be attached directly to or incredibly close to the asteroid's center of mass.

The Directional Component (

): The dragging effect is twice as strong at the poles of the spinning body (where

r̂r hat

aligns with

J⃗modified cap J with right arrow above

) than it is at the equator, and it points in opposite directions relative to the spin axis depending on your coordinates.

🛸 4. Connection to the Gravity-First Model

In the gravity-first model discussed earlier, where the fine-structure constant ties back to gravity via

, this equation undergoes a profound shift in interpretation:

Standard GEM treats

B⃗gmodified cap B with right arrow above sub g

as an ultra-weak, almost negligible correction factor because it is suppressed by

or

. However, in a model where matter is made of Skyrmions (topological twists), the angular momentum

J⃗modified cap J with right arrow above

of the asteroid is actually a dense macro-accumulation of localized spacetime vortices.

When you induce rotation at a right angle to the trajectory, you violently change the direction of

J⃗modified cap J with right arrow above

relative to the background fluidic flow of space. This maximizes the

cross-terms in the Lense-Thirring equation, resulting in localized geometric shear capable of ripping apart macro-structures.

If you would like to continue engineering this scenario, let me know if we should explore:

How to calculate the total angular momentum (

J⃗modified cap J with right arrow above

) required to exceed the structural binding energy of a 100-meter rubble pile.

How the Lense-Thirring metric shifts if we model the asteroid as a hollow cylinder rather than a solid sphere.

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13 sites

arXiv:astro-ph/0510002v1 30 Sep 2005
Sep 30, 2005 — Gravitoelectromagnetism (“GEM”) originates from the similarity between Coulomb's law of electricity and Newton's law of universal ...

CORE

Astrophysics of Compact Objects (171.156), Fall 2011
5. Gravitomagnetism. The frame-dragging effects of a Kerr spacetime, around a spinning black hole, can be thought in terms of grav...

Johns Hopkins University

A tale of analogies...
Nov 17, 2023 — Gravitoelectromagnetic analogies are somewhat ubiquitous in General Relativity, and they are often used to explain peculiar effect...

arXiv

Reports in Advances of Physical Sciences | Vol 09, No
About the Absolute Analogy Between Electromagnetism and Gravitomagnetism This study proposes a new formulation of gravitational fi...

World Scientific Publishing

Homopolar Artificial Gravity Generator based on Frame-Dragging
Sep 17, 2009 — The effect can be simply described as a magnetic-type component of gravity gen- erated by moving masses [5]. Therefore, frame-drag...

TU Dresden

kinetics of the spinning gravitational field | Publications of the Astronomical Society of Japan | Oxford Academic
Oct 29, 2021 — In the gravitomagnetism, the apparent field caused by a moving mass is described by two components, i.e., the gravitoelectic and g...

Oxford Academic

Theoretical physics
In modern physics, the space-time metric of a certain physical system is completely defined by the corresponding metric tensor. Th...

Inspire HEP

09. Geometrization of Gravity
Φ = − GM/ r is the Newtonian gravitational potential field (describes the particular gravitational field produced by mass M). Is m...

New York University

Welcome to Spacetime
Important tangential remark: The speed “ c” is conventionally called the speed of light. However, the phenomenon we are describing...

Av8n.com

On the Gravitational Field of a Moving Mass According to General Relativity
We define the gravitomagnetic vector potential as A i = − g i 0 c 2 , where A i = γ 2 G M v i R c 2 To confirm its physical validi...

ScienceDirect.com

A laboratory scale Foucault pendulum for the measurement of frame-dragging
May 12, 2024 — This form of frame-dragging is represented physically by the Lense-Thirring precession of a gyroscopic test mass due to the proxim...

University of Strathclyde

Significance of nutation in magnetization dynamics of nanostructures | Phys. Rev. B
Jul 18, 2012 — Precession is well known from the classical mechanics of a gyroscope. If an external force tilts the rotation axis of the gyroscop...

APS Journals

International Journal of Modern Physics D
Frame-dragging has an intriguing influence on the off-equatorial motion of test particles, the Lense–Thirring effect, that causes ...

World Scientific Publishing

13 sites

arXiv:astro-ph/0510002v1 30 Sep 2005
Sep 30, 2005 — Gravitoelectromagnetism (“GEM”) originates from the similarity between Coulomb's law of electricity and Newton's law of universal ...

CORE

Astrophysics of Compact Objects (171.156), Fall 2011
5. Gravitomagnetism. The frame-dragging effects of a Kerr spacetime, around a spinning black hole, can be thought in terms of grav...

Johns Hopkins University

A tale of analogies...
Nov 17, 2023 — Gravitoelectromagnetic analogies are somewhat ubiquitous in General Relativity, and they are often used to explain peculiar effect...

arXiv

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