Newton's laws of motion in 3+1 dimensions ?

In summary, the conversation is discussing the potential influence of time as a fourth non-spatial dimension on gravitational movement. The issue raised is that Newtonian physics relies on coordinates and there are multiple ways to calculate 4D 3+1 hyperbolic-spherical coordinates. The concept of Newton-Cartan gravity is mentioned as a possible solution, but it is ultimately equivalent to Newtonian gravity.
  • #1
jk22
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If it were supposed that time were a 4th non-spatial dimension how would it influence the gravitational movement ?

The problem I have when trying to solve this invented problem is that Newtonian physics works in coordinates and that there are a lot of ways to find 4d 3+1 hyperbolic-spherical coordinates.

Which one should be used to start the calculations ?
 
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  • #3
Newton-Cartan gravity however is at the level of dynamics fully equivalent to Newtonian gravity as you know it (to answer the question in the OP).
 
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Related to Newton's laws of motion in 3+1 dimensions ?

1. What are Newton's laws of motion in 3+1 dimensions?

Newton's laws of motion in 3+1 dimensions are a set of three physical laws that describe the behavior of objects in a three-dimensional space with the addition of time as the fourth dimension. These laws were developed by Sir Isaac Newton in the late 17th century and are considered the foundation of classical mechanics.

2. What is the first law of motion in 3+1 dimensions?

The first law of motion in 3+1 dimensions, also known as the law of inertia, states that an object at rest will remain at rest and an object in motion will remain in motion at a constant velocity unless acted upon by an external force. This law applies to all objects in 3+1 dimensions, regardless of their size or mass.

3. What is the second law of motion in 3+1 dimensions?

The second law of motion in 3+1 dimensions states that the acceleration of an object is directly proportional to the net force acting on the object and inversely proportional to its mass. This can be represented by the equation F=ma, where F is the net force, m is the mass, and a is the acceleration.

4. How does the third law of motion apply in 3+1 dimensions?

The third law of motion in 3+1 dimensions states that for every action, there is an equal and opposite reaction. This means that when one object exerts a force on another object, the second object will exert an equal and opposite force back on the first object. This law applies to all interactions between objects in 3+1 dimensions.

5. How do Newton's laws of motion in 3+1 dimensions impact our daily lives?

Newton's laws of motion in 3+1 dimensions have a significant impact on our daily lives. They explain the behavior of objects in our physical world, from the movement of vehicles and projectiles to the functioning of machines and devices. These laws also play a crucial role in engineering and designing structures and technologies that we use every day.

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