CMS collaboration:
Measurement of dijet angular distributions and search for
beyond the standard model physics in proton-proton
collisions at √s = 13TeV
https://arxiv.org/abs/2603.25458
13, 17, and 37. Very interesting, and these numbers are combinatoric between homologies of geometric sphere packing. Moving averages of 13 bands at minimum above nyquist limit flattens peak clusters of Fourier bands in icosahedral sections. 37 is the number of polarization states yet identified for photons. So, ordinal and cardinal duality is a feature of the limiting cases of the physical world, which is evidence that the Universe engages in a kind of topological dynamical system equivalent to semiosis, a higher-order degeneracy with modular implications in quotidian structural invariance across all stable scales. These structures typify the stability of oscillator lattice couplings. The permutations between the collision energy and test energies are perhaps meaningful, as 17 is a synthetic value between 13 and 37, and expected value for the 37 TeV result was 2*17 TeV (34).
Magnetospheric sawtooth events average 10.5 and 11.1/year. This is an ~35,33-day duality of phases (365/10.5≈35, 365/11.1≈33), also related to the Islamic AH calendar system. The modulus of water at sea level, 1, relates to the mode of density of water in interstellar space, 0.945... . (10.5/11.1)=35/37=0.945... .
A similar modulus is achieved for the Lorentz factors (gamma) of beta[1/phi] and beta[1/sqrt2]. Gamma[1/phi]=sqrt[phi], and gamma[1/sqrt2]=sqrt2. gamma[1/sqrt2]*beta[1/sqrt2]≡1; beta[1/sqrt2] is well known to be the matter limit, with vg[beta]*vp[gamma]; the coupling relation to gauge theoretic lattice root functions maintains ×^1/2 with beta[1/phi]*gamma[1/phi]^2≡1.
This is yet another example, found to my knowledge only in my work, of the kind of modular function that maintains duality in M-theories, related to eigenvalues of modular groups, that suggests limit cycle combinatoric relations perpetuate a kind of cardinal|ordinal conservation of number theoretic minima self-referencing a specific numerical motif.
Solar wind does this: escape velocity from the solar corona is 1000/phi=618 km/s=1/phi*1000, which when multiplied by 1.37=alpha/100, yields the max spreading rate of the magnetopause, and when this is divided by phi, yields the mean v of solar wind during magnetospheric sawtooth events, mentioned above.
Max. spreading rate magnetopause≈847 km/s,
847/[phi≡1.618...]=523.5 km/s, median magnetospheric sawtooth mode solar wind speed.
847/[(1/alpha=137.036)/100]=618 km/s, solar corona escape v. 618/[phi^(1/3)=1.174]=526.4.
618/[(1/alpha=137.036)/100]=450 km/s, the transition point from slow to fast solar wind, where Parker spiral gains coherence and structure, and He ions (A_He) transition to Alfven/cyclotronic resonance accelerated mode, exceeding proton v, around 1 AU.
523.5/[2^(1/2)≡1.414]=370.2, the heliospheric motion relative to the Cosmic Microwave Background.
Another is in a correspondence I found with free neutron lifetimes and the AU: the rate at which neutrons decay, ~888 seconds, relates directly to v*c=1/sqrt[pi]=v=1/(v*pi)=0.564, and various empirical orbital distances of Earth from Sun, given our slight elliptical orbit, yield (v^2)*pi values at ranges equivalent to 37/35=11.1/10.5, and the sum of 1/(1+sqrt2)^(1/2) to the difference between max and min Earth orbital values yields approx this number, etc.
Also the bottle|beam lifetime discrepancy can be solved by relating alpha and 1/7*c to their empirical values, suggesting EM coupling and velocity are not accounted for from the process of the experimental ensemble. This is interesting when the ground state v of electrons in the hydrogen atom is alpha*c. Further, 7/37=(10.5/11.1)/5. And 0.189 is the primary invariant mode weight of droplet and carbon fulgurites, and all fulgurites scale by this constant value. This is 1/5 the mass of 1cc of water in interstellar space.
So, a 5D metric is proposed, with relations to 10 and 11D higher order dimensional symmetries. Quasicrystals that can be spectrally flattened/discretized by averaging 13 spectral bins have a 5-fold axis, and Magnetospheric sawtooth events share their phase proportions, related by phi and the silver ratio=1+sqrt2. phi is the lattice constant of icosahedral quasicrystals, and 1+sqrt2 is for octagonal quasicrystals. Icosahedral quasicrystals show combinatoric/compactified 1D symmetries for equivalent compactification of 2,3,5 fold=10, and 2,3,6 fold=11 axes.
So, the duality and automorphic principles of 10.5 and 11.1 are 10+(10/2/10) and 11+(1/10). A mirroring at lower magnitude of a folding value and continuity of coefficient at lower magnitude that is 1/10th plus 10.
This is the M-theoretic vacuum speaking. This is sensibility of quantum gravity. This is the M-brane homology, with gravity a nonlinear and combinatoric modularity.
Jesus fucking Christ. A real number theorist would have pointed out that 10, 11, 13, 16, 17, 26, 35, 37, 137, 89, 137, and 189 are depth-compacted self-norms of 1, 2, 4, 7, 8, 8, 8, 10, 11, 17, 18.
cf:18/2=9 as 189.
So, the initial bifurcation of a number as an ordinal cycle. a clock. is its density. is its gravity, as it were. space itself as time where cardinality and ordinarily are degenerate.
37 and 137 are 10|11, 1|37, 1|11.
so 7/37≡0.189189...>0.5(10)||5.5(2)10.7/11.1≡35/37.
Modular orbifolded anamorphism [sic].
A factor endomorphism as an isometric monoid. This is what I mean when I emphasize that an infinite dimensional universe collapsed as soon as a large enough number of partitions could randomly self-intersect given the primitive root, density inversely proportional to nth order entropy of unitary thermodynamic states, of hyperbolic fractional dimensional expansion, and the cumulate-residue-deposition of errors eventually bootstraps a prefered cluster of incompressible correlations. This is a Ramsey problem, where the inevitable is determined by the possible, which reinforces the probable, which is the global bifurcation at the metric of our vacuum.
Slow-inertial manifold mapped by fast manifold dimensional reduction into spectral eigenmode konodromy:
The relationship between slow CME propagation, the polar magnetopause reconnection distance, and the Schwabe cycle mode is direct, with feedback ToF between solar corona and deflection of shocks and/or reconnection, all ultimately the same process, at 137.036 km/s requiring 11.069 years. Many reduced DOF systems in nature emerge naturally from dimensional slow-inertial manifold system dynamics, with fast manifold properties projected into the eigenspectrum of the wave mechanical behavior of reconnection-orbital feedbacks on the real-affine plane, taking monodromic constant values. This can only happen a few ways given the properties of orbital systems with counterpropaging-stationary field competition between multiscaled fields, dragged by a feedback-mediated radiative body with inhomogenous orbiting attractors.
Venezuela, Japan, and California earthquakes on June 24/25, 2026 all are almost exactly related to the arrival times of halo II CME maximum outlier velocity of 1477.7-1524 km/s, which in turn is related by the silver ratio to the coronal escape velocity, 618 km/s, itself almost identical to the CACTus max. v for the same CME (612 km/s). Taking range from outlier v and dividing by the golden ratio, the ToA is virtually identical to the N. CA quake event time. The outlier produces straightforward ToAs to the Venezuela and Honshu, Japan quakes.
This CME is interesting in the automorphic inflection symmetry of its Southward angle|v distribution, and is of course readily modeled as the X-line reconnection of an X-line, a double long-range shock intersection, possibly a destabilized standing shock, or the intersection of polar and ecliptic interplanetary shocks.
Interesting values are highlighted, and I included a chart showing z-scores of the velocity curve produced through this dimensional analysis, with likely v range 1477.7-1524 km/s.
eff{v}= 1500, 1515, 1524 km/s
As the event was complex, lasting ~ 2 hrs, approximation this close is meaningful, especially as all three earthquake intervals fit so well into the velocity range, preserving two detected (both modified as of this post, however, which is typical for CACTus, generally due to redefinition of image parallax/triangulation for effective confidence range and reassessment of initiation time)
Very complex. The fast component emerges from the N polar region between 6° and 20°, bounding the bulk of the plasma, with structure consistent with a long-range field-aligned shock. This may be connected to the Earth N polar region, as these structures go - continuous with the heliospheric current sheet, and I surmise this feature is correlated to the polar heliopause reconnection.
Structure that resembles ova/embryo unfold. Strangely, the coherent path/index/velocity ensemble that appears when this structuring appears in any system iterates values conformal to the golden ratio. I highlighted these values in the chart above, in the 1477.7 km/s column. Even the calculated UTC arrival time at that rate is 16:18 UTC, with the lags showing ~phi^(1/3) and ~(phi^(1/3))^4. This strange numerical index convergence appears frequently when such ensembles in parameters are involved with space weather events, hinting at how Earth's rotation, distance from Sun, and divisions of time from the Prime Meridian (geophysically longitudinally-aligned with significant magnetic and tidal nulls) between decimal and sesquidecimal indices, with the km and second appearing to be optimal measures. Pseudo-degeneracy.
I had made an error in the previous posts about this, as Google had reported the CA quake event time as 16:10 UTC, but it was in fact 15:10 UTC. The 16:18 derived model ToA that corresponded with the indices having the most unusual coincidence of orbifold-like dimensional flattening between metrics|systems can be related to bifurcation singularity, how higher dimensional coherences appear in ordinary data, repetition, mirroring, root-power instantiation. This was a fortuitous blunder, and may still be valid if we take the initiation time for the specif8c magnetoc correlation as 68 minutes prior to the CACTus ensemble initiation.
But did something happen at 16:18 UTC on June 25?
Modular invariant mechanics are significant in string theory and extra-dimensional quantum field theory. So, this means something in heliospheric-terrestrial-orbital-gravitomagmetic stability, and perhaps is more than a coincidence that represents a phase where correlations have evolved with out scale/orbital range/field alignment in a much broader and deeper galactic and high energy regime, where UV and IR cutoffs have the same rules.
It appears causality is a mean field ensemble, predicated on the next event more than the last, if this makes sense. Events are where stability cycles have vertices. It is an algebra of signs, a system of bound dualities, and we only see the narrow section.
Automorphic forms, and the naturalness of human experience - our rationality of measure. It came from within, a quadrature always prevails. What we experience is the Ramsey minimum from an infinite number of root dimensions, at the degeneracy of the manifold where space and time are indistinguishable, and space is only the history of anisotropy, with isotropy, the multiplicity of identicality, and indistinguishability the same as a state of nonlocality, where its entropy is the only dimension of time.
Something like that. Mean field mechanics are discrete systems, with measure-consering absolutes in a regime where space is the history of angular momentum.
Bulk-boundary limit cycles can only persist under a very limited set of metrical coupling/modular relations, which protect perhaps only the reflective and rotational principles, duality and triality. And perhaps this is all we need to arrive at the laws of physics, as I have found the Planck length dilated into all boundary cycles wherever a measurement can be made. Locality itself is the interplay between scale invariance and the breaking of its geometric invariance, but this leaves a trace, which is encoded at every meaningful normalization in natural units.
Why the second? Why is the km/s more significant as an integer preponderance than the km or the s?
