Can Sub-Atomic Particles Exist in an Unseen Dimension? - Physics …
Apr 16, 2007 · 2. How are the 4 dimensions related to each other? The 4 dimensions are interconnected and cannot exist independently. Time is often considered to be the fourth dimension, as it is a crucial factor in determining the position and movement of objects in the other three dimensions. 3. Are there other dimensions besides the 4 dimensions?
Do we live in 3 or 4 dimensions? - Physics Forums
May 20, 2013 · 14,570. spacetime is a 4 vector, so while we DO live in 3 SPATIAL dimensions, we also do live in 4 dimensions so they are both right. If one of them is saying we live in 4 dimension of space, then he misunderstands Einstein. …
Levi-Civita properties in 4 dimensions - Physics Forums
Apr 23, 2017 · Levi-Civita properties in 4 dimensions are closely related to Einstein's theory of general relativity, which describes the curvature of spacetime in the presence of massive objects. The Levi-Civita tensor is used in the Einstein field equations to express the curvature of spacetime in terms of the energy and momentum of matter and radiation.
Showing Levi-Civita properties in 4 dimensions - Physics Forums
Apr 23, 2017 · Levi-Civita properties in 4 dimensions have various applications in physics, engineering, and other fields of science. They are used to describe the behavior of electromagnetic fields, to model the interactions of particles in quantum mechanics, and to solve problems related to rotations and translations in 4-dimensional spaces. 5.
Properties and Elements of SO(4) Group in 4 Dimensions - Physics …
Jul 29, 2007. Dimensions Elements Group Properties. In summary, the SO (4) group is a group of rotations in four dimensions. It acts as a rotator by having a two dimensional "axis" of rotation. The generators of rotation are components of Angular momentum (Lx, Ly, Lz) and components of Laplace Runge Lenz (LRL) vector (Ax, Ay, Az), which creates ...
Unveiling the Mysteries of 14 Dimensions: Exploring String Theory …
May 21, 2008 · Dimension 4 could be described as a relationship of change. Given this, Dimensions 3 and 4 are our conceptualized reality with abundant proof of their reality in our world, so-to-speak. To complicate matters further, D-4 is non …
What Is 4-Dimensional Curl? Get Your Answer Here! - Physics …
May 7, 2012 · Vector fields in dimensions other than 3 do not have a vector form of curl. Instead the rotation must be described from an anti-symmetric 4 by 4 matrix, which turns out to have 6 linearly independent elements. In the notation of differential forms the curl of a 4 dimensional vector field is not a vector but a bi-vector.
String theory in 4 dimensions? - Physics Forums
Sep 12, 2021 · String theory in 4 dimensions is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects known as strings. These strings can vibrate at different frequencies, and their vibrational modes correspond to different particles. The "4 dimensions" refer to the three spatial dimensions and ...
Extension of Thurston's Geometrization Conjecture to four …
Apr 25, 2005 · The Extension of Thurston's Geometrization Conjecture to four dimensions is a proposed generalization of Thurston's original conjecture, which applies to three-dimensional manifolds, to include four-dimensional manifolds. It suggests that every four-dimensional manifold can be decomposed into geometric pieces with simple shapes.
Levi civita symbol and kronecker delta identities in 4 dimensions
Jul 17, 2014 · In four dimensions, the Levi Civita symbol and Kronecker delta are used to manipulate vector and tensor equations. They are especially useful in expressing cross products and determinants. Additionally, the identities are used in the study of electromagnetism, general relativity, and fluid dynamics. 5.