Friday, July 11, 2025

Can we say that the gravitational force comes from the mass (質量)? (S6) (1140712) (ChatGPT, 2025-7-11) (自體的心理學)(車行哲學)

 That’s a very natural question — and the short answer is:


Yes, gravitational force originates from mass, but in modern physics, especially after Einstein, we need to say more than just that.


Let’s break it down into classical and modern views:





🌍 1. 

Newtonian View

 (Classical Physics)



In Newton’s law of universal gravitation:

F = G \frac{m_1 m_2}{r^2}


  • Gravitational force F is directly proportional to the product of the two masses m_1 and m_2.
  • So, in this framework, mass is the source of gravitational force.
  • Here, 質量 (mass) is straightforward: it means gravitational mass (which measures how strongly something feels or produces gravity).



✅ So in Newtonian physics, it’s absolutely correct to say:


重力來自質量。

(Gravitational force comes from mass.)





🪐 2. 

Einsteinian View

 (General Relativity)



Einstein changed the game in 1915 with General Relativity:


“Mass (and energy, and pressure, and momentum…) curve spacetime, and gravity is the effect of that curvature.”


In Einstein’s famous field equations:

G_{\mu\nu} = \frac{8\pi G}{c^4} T_{\mu\nu}


  • The left-hand side describes the curvature of spacetime.
  • The right-hand side is the stress-energy tensor T_{\mu\nu}, which includes:
    • Mass,
    • Energy,
    • Pressure,
    • Momentum, etc.



So:


  • Gravity is no longer thought of as a force per se, but as the result of how mass-energy tells spacetime how to curve, and how spacetime tells matter how to move.



✅ Thus, in general relativity, we should say:


Gravitational effects come from mass-energy, not just mass.





🧠 Summary:

Framework

Source of Gravity

Nature of Gravity

Newtonian

Mass (質量)

A force between masses

Einsteinian

Mass + Energy + Pressure + Momentum

Curvature of spacetime





🧲 Analogy:



Just as:


  • Electric charge is the source of the electromagnetic force,
  • So too, mass-energy is the source of gravitational interaction.



But just as light (photons) is more than “just” charge in motion, gravity is more than “just” mass pulling on mass — it is geometry itself.




Would you like a poetic or visual metaphor for how spacetime bends around mass, à la the “trampoline” image — or something more precise like Einstein’s geodesics?