Thread: 8 dimensions - no strings!

In my recent work, I have discovered that there are 8 physically realizable dimensions. You can describe these dimensions without the need of relativity, quantum mechanics, or string theory. In fact, people were discussing these 8 dimensions before any modern physics came about. I am probably not the first person to make this observation, and it isn't really earth shattering, but it is interesting - especially in light of the fact that string theories try to introduce extra dimensions, and then come up with excuses as to why we don't observe them.

The first 4 dimensions describe things like, distance, momentum, force, electric field, charge, current, mass, time, and energy.

The other 4 dimensions describe things like rotation axis, angular momentum, torque, magnetic field, and volume.

The difference between these two sets of vectors is defined by their behavior upon spatial inversion. The second set is called the vectors and scalars, and the second set is called the pseudo-vectors, and pseudo-scalars.

There is no way to construct a pseudo-vector as a linear combination of vectors. This is the very mathematical requirement needed for the introduction of extra dimensions.

The convention in physics is to map the pseudo-quantities onto the vector space that we were already using to describe the regular quantites, and then make the added stipulation that we cannot ever combine vectors with pseudo-vectors, or scalars with pseud-scalars, or the result will be meaningless. Thus, the convention is to use a 4 dimensional vector space, and to define 2 sets of equations that cannot be combined with each other. These 2 sets of equations can roughly be described as linear vs. angular.

For instance, 2 of maxwells equations deal with vectors and scalars. 2 of them deal with pseudo-vectors, and pseudo-scalars. There is no meaningful way to combine vectors with pseudo-vectors (within a 4 dimensional space), so if you ever see an equation that contains both an E vector and a B vector, you know it is garbage. However, if the E and B vectors lived on a 6 dimensional subspace, you could add them together meaningfully.

Rather than using 4 dimensions, and 2 sets of equations, we could just as easily use 8 dimensions, with only 1 set of equations.

Originally Posted by EricBrown

In my recent work, I have discovered that there are 8 physically realizable dimensions. You can describe these dimensions without the need of relativity, quantum mechanics, or string theory. In fact, people were discussing these 8 dimensions before any modern physics came about. I am probably not the first person to make this observation, and it isn't really earth shattering, but it is interesting - especially in light of the fact that string theories try to introduce extra dimensions, and then come up with excuses as to why we don't observe them.

The first 4 dimensions describe things like, distance, momentum, force, electric field, charge, current, mass, time, and energy.

The other 4 dimensions describe things like rotation axis, angular momentum, torque, magnetic field, and volume.

The difference between these two sets of vectors is defined by their behavior upon spatial inversion. The second set is called the vectors and scalars, and the second set is called the pseudo-vectors, and pseudo-scalars.

There is no way to construct a pseudo-vector as a linear combination of vectors. This is the very mathematical requirement needed for the introduction of extra dimensions.

The convention in physics is to map the pseudo-quantities onto the vector space that we were already using to describe the regular quantites, and then make the added stipulation that we cannot ever combine vectors with pseudo-vectors, or scalars with pseud-scalars, or the result will be meaningless. Thus, the convention is to use a 4 dimensional vector space, and to define 2 sets of equations that cannot be combined with each other. These 2 sets of equations can roughly be described as linear vs. angular.

For instance, 2 of maxwells equations deal with vectors and scalars. 2 of them deal with pseudo-vectors, and pseudo-scalars. There is no meaningful way to combine vectors with pseudo-vectors (within a 4 dimensional space), so if you ever see an equation that contains both an E vector and a B vector, you know it is garbage. However, if the E and B vectors lived on a 6 dimensional subspace, you could add them together meaningfully.

Rather than using 4 dimensions, and 2 sets of equations, we could just as easily use 8 dimensions, with only 1 set of equations.

But you dont need 4 more dimensions to explain rotation axis, angular momentum, torque, magnetic field, or volume

volume is a feature of 3d space and is defined by 3d space.

Also string theory is talking about spacial dimensions

The universe has its general space time structure with 5 dimensional spaces and 5 dimensional times .

This proposition has been well proven by an new cosmological model ,so called Comletable Space Time Model of the Universe (CSTU) or G Bubble Model of the Universe (GBMU) , in terms of theoretical analysis and obervations available so far .

I will introduce the new cosmological model step by step in the thread of
Space Time Strutcure of Physical Existence in this forum. Before that , space time structure of all kinds of physical existences must be figured out as shown in that thread
http://www.spacetimeandtheuniverse.c...xistences.html

Originally Posted by tom

But you dont need 4 more dimensions to explain rotation axis, angular momentum, torque, magnetic field, or volume

volume is a feature of 3d space and is defined by 3d space.

Also string theory is talking about spacial dimensions

You are totally right. What I am trying to say is that the 3 dimensional space that we usually employ to represent the rotation axis is NOT the same as the 3 dimensional space we used to represent a velociy vector.

Just because it only requires 3 dimensions to represent a rotation axis does not mean that it is the same 3 dimensions that we use to represent velocity vectors.

Examples of Space time structure for some physical existences

1 kilogram of any sorts of substances is objectively consists of 3 dimensional space m^3 , negative 2 dimensional times s^-2 and an coefficient of |G| .
that is ,

1 Ampare of electric current is objectively consists of 3 dimensional space m^3 , negative 3 dimensional times s^-3 and an coefficient of √ |G| .
That is ,

1 Kelvin of temperature of heat is objectively consists of 4 dimensional space m^4 , negative 4 dimensional times s^-4 and an coefficient of 22.7773 .
That is ,

1 mol of substances quantities is objectively consists of 2 dimensional space m^2 , negative 1 dimensional times s^-1 and an coefficient of fine structure constant .
That is ,

1 Joule of energy is objectively consists of 5 dimensional space m^5 , negative 4 dimensional times s^-4 and an coefficient of |G| .
that is ,

1 Newton of force is objectively consists of 4 dimensional space m^4 , negative 4 dimensional times s^-4 and an coefficient of |G| .
That is ,

1 Coulumb of chagre is objectively consists of 3 dimensional space m^3 , negative 2 dimensional times s^-2 and an coefficient of √|G| .
That is ,

1 Weber of magnetic flux is objectively consists of 2 dimensional space m^2 , negative 1 dimensional times s^-1 and an coefficient of √|G| .
That is ,

Space Time Configuration of Physical Units
Every physical existence including those appointed by physical units have its own space time structure ( STS) inherently ,that is , all of them are consists of certain amounts of dimensional spaces and dimensional times ;
Space time structure of an physcal existence appointed by a specific physical unit (dimA) can be universally expressed mathematically in a way so called space time configuration ,abbrviated by STC(dimA) .
That is ,
Given an certtain physical existence appointed by physical unit expressed by , then its space time configuration is


here ,
B is larger or equal to |G| =6.67428*10^-11 (NIST 2006 Observed data)

m represents an unit of one dimensional space , s represents an unit of one dimensional time .

To get more etailed information aobut space time configuration of physical units , please turn to
Space Time Structure of Physical Existences