Does a four dimensional world exist and what is the 4th dimension?

Answer 1

The 4th dimension is a reality, not man made. The 4th dimension is not like the other three dimensions. The mathematics and physics of the dimensions are not understood by most people.

The first three dimensions are vector dimensions and describe the three dimensions of space say , x,y and z. These dimensions were the first dimensions discovered and they are thought to be real dimensions. Real dimensions are like real numbers, their square is a positive number. The truth is the first three dimensions are vectors and are geometrical dimensions. Vectors have relationships like parallel and perpendicular. so v1 and v2 can be parallel to each other or perpendicular to each other. The relationahip betweenvectors involves the angle between them so v1.v2 = v1v2cos(a) and if cos(a) is zero the angle is an odd multiple of 90 degrees, perpendicular. The cos(a) is unity if the angle is an even multiple of 90 degrees. Minus unity means the vectors are Parallel, pointing in the same directon. Plus Unity means the vectors are anti-parallel, the vectors are pointing in opposite directions.

Everyone is roughly familiar with the vector dimensions, except that scientists and mathematicians want the square of vectors to be positive not negative. This is a mathematical defect that ruins vectors.

The 4th dimension is not a vector it is a plain old real number sometimes called a scalar number. Sclars or eeal have positive squares. Scalars are not vectors. Scalars are critically important in science and mathematics. The reason is best understood when you ask the question "What happens to the vectors when you multiply two parallel two vectors v1 and v2? The answer is, the product of two parallel vectors is not a vector! This is like smashing two Oranges together and the oranges disappear and turn into a banana. This is called lack of Closure in mathematics. Closure says that If A and B are vectors, then AB is a vector. You could say Human's beget Humans and fish beget fishes. This is the idea of Closure. Vectors don't have Closure. In Physics they would say that vectors transmuted into a real number. Physicists would create a table of "particles Realtionships". Two reals produce a real; a real and a vector produce a vector; two vectors produce a negative real if parallel or a positive real if anti-parallel; two vectors produce a vector if perpendicular; and ususally two vectors produce a real and a vector if not parallel or perpendicular!

This could open up a whole new fiedl of "particle Physics". The simple answer is the 4th dimension! The 4th dimension is a real dimension. This real dimension satisfies Closure. Two vectors produce a real and this is in the 4th real dimension. This dimension saves Closure because now the the elements are called quaternions. A quaternion is the sum of a real and three vectors, thus making four dimensions thus quater, Latin for 4.

If A and B are quaternions, then AB is a quaternion. Ths 4th dimesnsion has units like the three space dimensions - meters, r=ct is the fourth dimension where c is the speed of light and t is time. both c and t are real numbers and reals time reals gives reals. The speed of light c is a real number not a vector, thus the veclocity of light is wrong, because velocity denotes a vector not a real.

Man did not make the 4th dimension. You could say the 4th dimension was made when God said "Let there be Light!"

Answer 2

A four-dimensional world is a theoretical concept in physics and mathematics. The fourth dimension is often represented as time in our three-dimensional universe. In physics, space-time is described as a four-dimensional continuum where three dimensions correspond to space and the fourth dimension is time.

Answer 3

Yes. And it is time.