Heim theory

Heim theory is a proposed 'Theory of Everything', based on the work of the German physicist Burkhard Heim. The theory attempts to resolve incompatibilities between quantum theory and general relativity. The term "Heim theory" is also used for theories which are extensions or generalizations of the original theory proposed by Heim. Most notable are the theoretical generalizations put forth by Droescher, who worked in collaboration with Heim for some length. Their combined theories are also known as "Heim-Droescher" theories, although there are no international established standards for naming Heim-related theories at present. This ambiguity in the term "Heim Theory" has led to some confusion and difficulties over the correct interpretation of the theory. For example, in its original version Heim theory used 6 dimensions, which was sufficient to derive the masses of elementary particles. Droescher first extended this to 8, in order to demonstrate that the QED and QCD structures of the standard model could be found within this expanded version of the original Heim theory. Later, 4 more dimensions were used in the 12 dimensional version that involves extra gravitational forces one of which corresponds to quintessence. All these theories are often known as "Heim theories". The various dimensional extensions allow one to interpret that branches of established physics can be found in Heim theory. This includes Maxwell's equations.

Further technical details

The 8 dimensions of Heim theory is the result of two mathematical objects

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• a non-linear operator whose matrix representation C consists of 4 submatricies
• * These submatricies are generated with the 4 non-linear operators indexed as C_a
• 64 state functions ψ indexed with three independent labels ψ_abc

The three indices run from 1 to 4, resulting in 64 different eigenvalue equations

Related Topics:
Eigenvalue - Equation

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:,! hat C_a psi_{abc} = lambda_{abc} psi_{abc} Rightarrow

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hat C_a left | abc ight angle = lambda_{abc} left | abc ight angle

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The resulting matrix representation for the four C operators is a 64 by 64 matrix defined by

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:,! C = left langle abc ight | hat C_d left | def ight angle.

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This large matrix is entirely zero with the exception of 24 elements on the main diagonal. The 64 elements on the main diagonal represent the components of an energy density tensor. The 64 elements can be arranged in an 8 by 8 matrix T such that

Related Topics:
Main diagonal - Energy density - Tensor

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: T =

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egin{bmatrix} T_{11} & T_{12} & T_{13} & T_{14} & 0 & 0 & 0 & 0 \

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T_{21} & T_{22} & T_{23} & T_{24} & 0 & 0 & 0 & 0 \

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T_{31} & T_{32} & T_{33} & T_{34} & 0 & 0 & 0 & 0 \

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T_{41} & T_{42} & T_{43} & T_{44} & T_{45} & T_{46} & 0 & 0 \

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0 & 0 & 0 & T_{54} & T_{55} & T_{56} & 0 & 0 \

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0 & 0 & 0 & T_{64} & T_{65} & T_{66} & 0 & 0 \

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0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \

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0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \

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end{bmatrix}

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The non-zero elements Tij are equal to the appropriate eigenvalue which has been mapped into this matrix. This matrix has 8 eigenvalues (and thus 8 eigenvectors) which can be grouped into 4 unique groups based on their degeneracy. If the eigenvectors are normalized, they span a coordinate space called R8. This space has coordinates x1, x2, x3, x4, x5, x6, x7, x8, which can be grouped as {x1, x2, x3}, {x4}, {x5, x6}, and {x7, x8}.

Related Topics:
Non-zero - Degeneracy - Eigenvectors - Normalized - Span - Coordinate space

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Note also that if we take the basic number of physically existing dimensions to be 6, corresponding to the 6x6 non-zero sub-matrix of T, then we can use Heim's formula relating this number, P, to the maximum possible number of dimensions, n, i.e.:

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: n = 1 + sqrt(1 + p(p - 2)(p - 1) )

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to give n = 12 for p = 6. This explains the 6 'extra' dimensions of the fully extended theory.

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Interpretation

These groupings are labeled respectively

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:* R3, representing the typical cartesian state space

Related Topics:
Cartesian - State space

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:* T1, representing the time coordinate

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:* S2, representing the "entelechial" and "aeonic" coordinates

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:* I2, representing the coordinates which govern the probability state space

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The last 4 coordinates have various different interpretations, of which many of them are "unphysical". They are usually interpreted as auxiliary coordinates which project into the spaces R3 and T1 through special operators.

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As an aside, in the original theory of Heim, the tensor T is only a 6 by 6 matrix. In this Heim-Droescher extension, the tensor is an 8 by 8 matrix. The theory of Heim is typically extended by redefining the operator C to have more components. Hence, the generalization of Heim's theory is usually done in this manner. The operator C arises from an indexing of state functions and tensors.

Related Topics:
Operator - Generalization

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Focussing on only the elements of the 6 by 6 tensor, it can be interpreted as a coupling between two sets of coordinate systems. The elements T11 to T33 represent the Cartesian coordinates. The elements T11 to T44 represent the cartesian coordinates plus the time coordinate. These 16 elements are the constituents of Einstein's tensor representing spacetime.

Related Topics:
Coupling - Cartesian coordinates - Time - Einstein - Spacetime

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An extension by Droescher to 12 dimensional theory allows some aspects of quantum mechanics to result from Heim theory.

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Matter and forces

In Albert Einstein's theory of General Relativity, gravitation is interpreted in a geometrical way; it is a consequence of the curvature of space-time. Heim Theory expands this approach to all forces, so all physical phenomena, even matter itself, are a consequence of the structure of space-time. As it was stated before, Heim Theory uses an 8-dimensional space. Different subsets of R8, that Heim called "hermetries", give rise to all the known particles and interactions:

Related Topics:
Albert Einstein - General Relativity - Subset - Hermetries

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:*H1 = T1∪I2: gluons

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:*H2 = R3∪T1∪I2: color charges

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:*H3 = R3∪T1∪S2∪I2: W bosons

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:*H4 = R3∪S2∪I2: Z bosons

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:*H5 = T1∪S2∪I2: photons

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:*H6 = H6 (T1∪I2) * H7 (T1∪S2): weak charge

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:*H8 = R3∪S2: neutral particles with mass

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:*H9 = R3∪T1∪S2: particles with electric charge and mass

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:*H10 = I2: probability field

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:*H11 = S2∪I2: gravito-photon

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:*H12 = S2: graviton

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Note that, according to Heim, either S2 or I2 (or both) is always necessary for interactions to take place. It's worth noting that Heim Theory predicts the existence of all the known 4 forces, along with 2 new gravitational-like forces:

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:*H1 predicts gluons, carriers of the strong nuclear force.

Related Topics:
Gluons - Strong nuclear force

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:*H3 and H4 predicts the W bosons and Z boson, carriers of the weak nuclear force.

Related Topics:
W boson - Z boson - Weak nuclear force

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:*H5 predicts photons, carriers of the electromagnetic force.

Related Topics:
Photon - Electromagnetic force

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:*H10 predicts quintessence, a weak gravitational-like repulsive force that would cause the expansion of universe.

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:*H11 predicts gravito-photons, as yet unobserved particles that would, theoretically, allow the conversion of an electromagnetic field into a gravitational-like field.

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:*H12 predicts gravitons, carriers of gravity.

Related Topics:
Graviton - Gravity

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These force carriers together also allow one to predict novel forms of space travel. Whether this holds true in practice remains controversial.

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Misnomers

The method of extending Heim Theory to higher dimensions results in a theory which describes the physical world in terms of an increasing number of dimensions. These extra dimensions (which are auxiliary to length, width, height, and time) are often liberally associated with notions such as "consciousness", "spirit", "thought", and the vedic sciences. This is probably due to Heim's interest later in his life to provide a framework for such perceptions and experiences.

Related Topics:
Physical world - Dimension - Length - Width - Height - Time - Consciousness - Spirit - Thought - Vedic science - Perception - Experience

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It should be noted that it is convenient to label the additional dimensions, but this only serves as a tool for organization. The additional dimensions need not necessarily correspond to physical reality and be interpreted literally. This is because the labelling is arbitrary, and it serves to provide a name for a particular property of the equations in Heim Theory. This is analogous to quantum chromodynamics where quarks are assigned properties named after different colours. Particle physicists are not suggesting that quarks have "colour", rather, that they have an important property for which an arbitrary label has been applied.

Related Topics:
Tool - Arbitrary - Equation - Quantum chromodynamics - Colours

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These extra dimensions in Heim Theory should be considered auxiliary coordinates occurring as a mathematical tool in the theory. It introduces symmetry into Heim Theory which simplifies its expression and manipulation. The phenomena described in these auxiliary coordinates of Heim theory are projected into real coordinate space which then describe the physics of fundamental particles and the universe.

Related Topics:
Symmetry - Phenomena

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As an analogy, in Max Born's interpretation of quantum mechanics, the wavefunction ψ itself has no physical meaning, but its magnitude squared |ψ|2 has physical meaning corresponding to probability density. Likewise, the additional coordinates in Heim theory have no physical meaning - only when they are combined together in some mathematical manner does the result have any meaningful physical result.

Related Topics:
Analogy - Max Born - Quantum mechanics - Wavefunction - Probability density

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