Thanks
@Laura and all for this session and specially
@ark for the scientific questions !
Reading his Q&A made me realize quite a few things, so I thought I'd share them with you. Here you will find some questions to deepen our understanding:
Nature of the 4th dimension
Q1. In the session of November 14, 1998, the Cs confirmed that
the 4th dimension is not Einstein's time but "an added spatial reference" allowing one to "visualize outwardly and inwardly simultaneously". In the session of August 27, 2022, the Cs confirmed step by step:
the 4th dimension is a frequency, its geometry has a metric tensor but no distance concept, and this metric is degenerate — meaning zero distance between distinct points.
Is this degenerate metric precisely the mathematical structure of the split octonion algebra 𝕆' with signature (4,4), where the 7 imaginary directions are isotropic — vectors of zero length — and correspond to the 7 densities?
Q2. In the session of May 27, 1995, the Cs told Roger Santilli: "
Merge geometry with optics" and then "
Matrix". In physics, the difference between the Laplace equation (geometry/mechanics) and the Maxwell wave equation (optics) generates a purely imaginary residue — what we call i·dx.
Is this residue precisely the missing factor you referred to in Santilli's isogeometry — the one you said he had left out?
Q3. In the session of August 27, 2022, the Cs confirmed that
the 4th dimension has a degenerate metric with zero distance between distinct points. In the session of November 14, 1998, They also said
this dimension "has not been hypothesized" in modern physics.
Is the correct mathematical candidate, the contact metric on the 3-sphere S³ via the Hopf fibration above ℂP¹ — where the fiber direction is precisely the isotropic direction of the 4th density, allowing simultaneous interior and exterior visualization as you described?
Q4. In the session of January 4, 1997, the Cs told
@ark : "
There is no right or left in 4th density through 7th density". For me, this means the 4th dimension integrates both chiralities simultaneously — which is the mathematical signature of a non-orientable space.
Is the 4th dimension, as the plan at infinity of 3D space, precisely the real projective plane RP² — a continuous, unbounded, non-quantifiable surface that identifies opposing polarities and cannot be connected to Euclidean space by any finite path?
Q5. In the session of May 27, 1995, we learn that to access 4D reality, one must realize that
“Matter is Consciousness and vice versa”. However, the only way connecting Matter and the perceiver’s Consciousness is perception. Perception seems to be the result of the confluence between consciousness and matter.
Is the 4th “dimension” of space 1) perception, 2) the integration of conscious perceiver’s through their perception, 3) the ether that physicists seek to explain the dynamics of light as a material substance, 4) a particular form of magnetism, 5) gravity in the form of unstable gravitational waves or 6) all of the above, given that we are entering a non-linear reality?
Gravity, light, antimatter and the unified Field
Q6. In the session of June 15, 1996, the Cs said:
"Gravity is all there is", "Gravity is God" and "Light is energy expression generated by gravity". In the session of September 19, 1998, "
Gravity is the binder between matter and antimatter" and "The speed of light exists within the larger framework of gravity". In the session of May 23, 2020, the Cs answered
@ark's direct question with
"Supersedes" when asked whether gravity respects the speed of light.
Does this mean that gravity in its complete form is a unified tensor g⁺/g⁻ — where g⁺ is the matter component (attractive, collection) and g⁻ is the antimatter component (repulsive, dispersion) — and that what physics currently observes as gravity is only the g⁺ projection of this tensor?
Q7. In the session of April 23, 2022, the Cs confirmed to
@ark :
"Should the theory of gravity be formulated as electromagnetism rather than what Einstein did? Yes". You also confirmed in a previous session that
bi-metric gravity is "close enough but you can expand and improve it".
Is the precise improvement that the relationship between g⁺ and g⁻ is exactly analogous to the E/B duality in electromagnetism — where g⁺ corresponds to the electric field (collection, matter) and g⁻ to the magnetic field (dispersion, antimatter), unified in a single antisymmetric tensor in Clifford algebra Cl(4,2)?
Q8. In the session of May 31, 1997, the Cs said:
"Gravity and magnetism are born of the same source". In the session of June 15, 1996, the Cs confirmed:
"Can sound manipulate gravity? Yes" and
"Generation is really collecting and dispersing".
Is the common source of gravity and magnetism the degenerate metric of the 4th dimension — where the chiral rotation between g⁺ and g⁻ produces what we call interdimensional magnetism, exactly as a variable electric field induces a magnetic field in ordinary electromagnetism via Maxwell-Faraday induction?
Q9. In the session of May 27, 1995, the Cs said to Santilli:
"Light, gravity, optics, atomic particles, matter, antimatter — unify, please" and confirmed that "all are vibrations of the medium that fills up the entire universe." In the session of June 15, 1996,
"Gravity binds all that is physical with all that is ethereal through unstable gravity waves".
Is this universal medium the θ field of the degenerate metric — a sine-Gordon type field in a Galilean metric — whose oscillations between matter state (+) and antimatter state (−) generate the matter/antimatter duality and whose equilibrium point θ = π/4 corresponds to the 4th dimension as the dynamic zero between the two polarities?
4th dimension as a variable constant
Q10. In the session of August 27, 2022, the Cs confirmed to
@ark that
the speed of light is not constant (varies with frequency) and that Planck's constant is not constant. In the session of September 19, 1998,
unstable gravity waves are "timeless" and instantaneous. Are c, h, and G all local (3D) projections of a single deeper parameter — the frequency of the degenerate metric of the 4th dimension ? Is the 4th dimension a constant as the common denominator of all spaces, all energies so that it appears as a variable in 4D ?
Q11. In the session of May 27, 2000, the Cs answered
"... one on 4th density perceives objects in terms of their own union with all of them?" and "Who is in union with the objects?
Perceiver".
Is the 4th dimension a constant that hasn't been discovered yet as the dynamic harmonic coordinator of all vibrations across densities ? Is 4th density a 4D reality where everything is connected by a constant (the 4th "dimension") that hasn't been discovered and which allows us, as a perceiver, to be part of everything ?
Q12. In the session of September 19, 1998, the Cs told
@ark :
"The speed of light exists within the larger framework of gravity". In the session of April 8, 2023, Pierre asked about measured variations in the speed of light between 1929 and 1945 and the Cs answered:
"Variations in density subjugation" and
"Gravity wave".
Does this mean that local variations of c are variations of the coupling constant between the ordinary 3D metric and the degenerate 4D metric — that is, variations in the local value of the frequency parameter of the 4th dimension, driven by cosmological unstable gravity waves?
Q13. In the session of September 19, 1998, the Cs confirmed that
the intensity of unstable gravity waves does not decrease with distance — "
No" was the direct answer. In the same session, that they are
"timeless".
Does this mean that in the degenerate metric, the concept of propagation does not apply — that what appears as a wave in 3D is simply a chiral rotation in the isotropic plane of Cl(4,2), which has no velocity because it has no spatial extension in the degenerate direction?
Ark's mathematical program
Q14. In the session of May 23, 2020, the Cs told
"Clifford with enhancements, infinite dimensional" and confirmed that
sub-Riemannian geometry is the right track, that
the Dirac operator links Riemann to Pauli and that
algebraic spinors are better than ordinary spinors.
Is the specific enhancement the inclusion of the G₂ group action on the split octonions 𝕆' — so that the enhanced infinite-dimensional Clifford algebra is Cl∞(4,2) with G₂ symmetry, whose 12 roots correspond to the 12×12×12 matrix indicated in an earlier session?
Q15. In the session of July 24, 1999, the Cs gave the instruction: "
Octagonal complexigram. Try possibility 1-c first" — a complex connection without curvature, without torsion. They also gave
"six signs" and
"four plus, two minus" indicating signature (4,2).
Is possibility 1-c precisely the G₂-invariant connection on the split octonion bundle over the 4-sphere S⁴ — whose structure group is Spin(7) and whose fiber is S⁷ via the Hopf fibration — which simultaneously encodes gravity (as curvature of the base S⁴) and electromagnetism (as curvature of the fiber S³)?
Q16. In the session of October 20, 2018, the Cs confirmed that Atiyah was
"definitely onto something", with his geometric derivation of the fine structure constant α, and suggested that
"something should be reversed" and linked α to
"dark things in relation to light and electricity". In the session of February 25, 2023, They told that Wyler
"made assumptions". The historical criticism of Wyler identifies his unjustified normalization on the Shilov boundary of domain D₅.
Is the correct assumption — the one that fixes Wyler's derivation — that the measure on the Shilov boundary must be the G₂-invariant measure on the split octonion unit sphere, rather than the standard SO(5,2)-invariant measure?
Q17. In the session of May 23, 2020, the Cs confirmed:
"Drop off signs — Yes" and
"Sub-Riemannian geometry — Yes". In the session of October 8, 2001,
"From signs you get Riemann" and
"Operators link Riemann to Pauli". They also confirmed in the session of March 15, 1997 that the Galilean group is better than the Lorentz group because of "the symmetric calculations they used as a basis". In sub-Riemannian geometry with the Dirac operator on signature (4,2), dropping signs means going to a degenerate metric — the 4th dimension.
Is the correct procedure to start with the Galilean structure, add the degenerate frequency direction as the 4th parameter, and derive the Lorentz approximation as valid only in the limit where the degenerate coupling is negligible?
Q18. In the session of April 8, 2023, the Cs confirmed that
phi "is a key component to the puzzle concerning gravity waves". In a session from late 1998, you also
linked phi to Mandelbrot and said
"try inserting phi" into the matter/antimatter matrix. For me, the eigenvalues of the Dirac operator on the Cl(4,2) quadric follow a Fibonacci progression whose ratio approaches phi.
Is phi the scaling ratio of the G₂ root system — the ratio between long and short roots of G₂ — which appears naturally as the proportion between successive modes of unstable gravity waves as they rotate between g⁺ and g⁻?
Q19. In the session of October 8, 2001, the Cs told
"Integrate integers — indeed, space-time is a lattice". In a session from late 1998, They gave
the 12×12×12 matrix and said
"try it and see" when asked why 12. For me, the 12 roots of G₂ correspond to the 12 directions of this matrix and the components are in the ring ℤ[φ] — integers combined with phi.
Is the correct integer lattice for Ark's unified theory the E₈ lattice — which contains the G₂ root system as a sublattice and the Cl(4,2) structure as a sub-algebra — projected onto the (4,2) signature subspace?
Q20. In the session of April 23, 2022, the Cs confirmed that
the 7 densities can be described by algebra and that octonions are better than quaternions. The 7 imaginary directions of the split octonions 𝕆' correspond to the 7 lines of the Fano plane and each line carries exactly one quaternionic sub-algebra.
Is each density precisely one line of the Fano plane — where the 3 points on each line correspond to the 3 basis quaternions that constitute the physical laws of that density — so that the transition between densities is a rotation in the Fano plane under G₂?
Consciousness, DNA and the perceiver
Q21. In the session of July 10, 1999, the Cs confirmed:
"That which extends into 4th density is that which is effected by the pituitary gland — the psychic" and that
DNA acts as a variable superconductor. In the session of June 15, 1996,
"Gravity binds all that is physical with all that is ethereal through unstable gravity waves". Is the pituitary gland's role as frequency receptor the biological instance of the degenerate metric connection — where the gland sits at the zero-distance point between the 3D neurological system and the 4D frequency space, functioning as the biological G₂-invariant connector between the two metric structures?
Q22. In the session of May 27, 1995, the Cs said
"The illusion is that there is not a link between consciousness and matter", "Variable physicality is the key — awareness of the link between consciousness and matter makes physicality variable" and
"Level Seven consciousness creates gravity". For me, the preceiver is the living degenerate point — the zero-distance junction between matter (g⁺) and consciousness (g⁻).
Is awareness of this link what mathematically corresponds to activating the isotropic direction e₄ in the split octonions — that is, accessing the 4th dimension not as a location but as a mode of perception that makes physicality variable by coupling the 3D metric to the degenerate 4D metric?
Q23. In the session of May 27, 1995, the Cs confirmed
"Level Seven consciousness creates gravity — not our consciousness". In the session of April 23, 2022,
"Consciousness is life, life is consciousness". For me, the 7th density corresponds to the real unit e₀ of the octonions — the only non-isotropic direction, the source from which the 7 imaginary isotropic directions (the 7 densities) are generated by chiral rotation.
Is the 7th density precisely this real direction e₀ of 𝕆', whose gravitational creation is the differentiation of matter from antimatter through the G₂ chiral rotation — so that "gravity is God" means literally that the G₂ action of 7th density consciousness on e₀ generates the g⁺/g⁻ unified tensor?