dark matter as a faulty assumption

gravity mediated by rings, not rays

imagine the only thing that exists is a sphere of infinite dimension, spinning on all orthogonal axes. every point is equidistant from the inaccessible center — a hyper-bubble, basically. the ambient space is irrelevant — nothing inside, nothing outside. this is our ontological origin of the universe.

the space we have come to know and love exists entirely on the bubble, arising from spin dynamics. the familiar universe is thus a projection; a hologram. movement is not translation from point a to point b but rather a reorientation in relation to spin that makes it seem so.

as for the math, basic pythagorean principles apply:

• a² + b² + c²

of course we must imagine them in overdrive thanks to the panoply of orthonormal spin contributions at play. this is known as root mean square math. combined contributions from orthogonal spins swell swept circumferences; reciprocally, frame axes diminish them. the basic formula is:

• P(p, f) = √(p / f)

  • P — projection magnitude

  • p — count of dimensions that dynamically “push” together

  • f — count of dimensions in the static “frame” of perspective

now in a sea of infinite spin where all axes contribute either to push or frame, projection may seem meaningless. infinite p sends the projection to infinity; infinite f to 0; infinite both is undefined. infinity in this scheme has a secret decoder, however — the golden ratio. in our spin substrate the golden ratio functions as a natural, self-reinforcing attractor with both an infinite, self-referential form:

• φ = 1 + 1 / φ

and an algebraic one:

• φ = (1 +/- √5) / 2

in the case of the latter, the form is amenable to root mean square:

• φ = 1 / √4 + √5 / √4

that’s a one dimensional path in a four dimensional frame, with, embedded at every point, a five dimensional path in a four dimensional frame. if infinity does have a hand in generating the universe, these dimensional ratios would be a signature; if we can identify these ratios in physics, it would be a strong argument for the infinite. for now we anticipate the terms model traditional spacetime (1 : 4 dimensions) and a “mass signature” (5 : 4) respectively.

mass turns out to be the key to deriving our fundamental constants. consider the field generated by the spinning sphere. it is a scalar field filtered by the golden ratio, with φ and φ̄ as condensates. its potential can be expressed as:

• V(φ) = (φ² - φ - 1)²

which has minima at the golden ratio solutions:

• φ = (1 +/- √5) / 2

mass is obtained by taking the square root of the second derivative of the potential evaluated at the minima, which yields:

• M = √10

this models 10 : 1 push : frame dimensions in our root mean square analysis of pre-spacetime. mass is thus a unit-free integer ratio of dimensions under a radical, and we expect all physical constants will take a similar form.

from here we can derive additional constants, by form fitting mass within the golden ratio:

• φ̄ = M (1 / √40 - 1 / √8)

  • 1 / √40 — fine structure constant (we’ll defer the explanation for now)

  • 1 / √8 — the causal envelope, or the inverse projection limit — c = √8

the condensates that shape the universe:

• φ̄ = M (α - 1 / c)

• φ = M (α + 1 / c)

we hereby suggest φ̄, representing two curvature terms, is the true form of the einstein metric:

• φ̄ = Gmv = Rmv - gmvR

  • Rmv = M * = 1 / 2 — the baseline curvature of the universe (1d path in a 4d spacetime)

  • gmvR = M / c = √10 / √8 — the shadow of mass on spacetime

note that the 1 / 2 coefficient has been removed from the original form:

• Gmv = Rmv - 1 / 2 * gmvR

that’s because we assume a more aggressive baseline curvature than “flat” space, one that abides by our 1 : 4 dimensional ratio. the second term therefore need not be modified to ensure conservation of energy — the natural form of conservation is the golden ratio.

the same concept manifests in the schwarzschild solution. if we replace the unit curvature assumption with 1 / 2 and drop the coefficient from the second term, again, we end up with the golden ratio:

• f(r) = 1 / 2 - M / c = φ̄

• grr = 1 / f(r)

  • = 1 / φ̄

  • = φ — expanding space

  • = 1 / 2 + M / c

• gtt = - c² * f(r)

  • = Mc² (α - M / c)

  • = E (α - M / c)

  • = 8 / φ — contracting time

f(r) is often given as:

• f(r) = 1 - rs / r

in our case the whole function is reduced by half:

• f(r) = 1 / 2 - rs / r / 2

rs is normally:

• rs = 2 * G * M / c²

but we’re proposing the 2 is unnecessary:

• rs = G * M / c²

and furthermore that our rs / r is equivalent to our proposed mass defect M / c:

• rs / r = G * M / c² / r

• G * M / c² / r = M / c

this can only mean one thing:

• G / c / r = 1

in other words, G is a geometric lever — not a hard constant — tantamount to angular momentum proportional to the speed of light:

• G = r * c

what does this mean for einstein’s field equations ?:

• Gmv = 8 * pi * G / c⁴ * Tmv

• Gmv = pi * G / c² * Tmv

• Gmv = pi * r / c * Tmv

and so Tmv is more a measure of coherence than stress energy:

• Tmv = Gmv * c / pi / r

oh, and don’t forget that Gmv = φ̄:

• Tmv = c / pi / r / φ

now if we “undo” the frame effect of φ, dividing through by 2:

• Tmv / 2 = c / 2 / pi / r / φ

there you have it. now we get to the crux. the suggestion here is that mass does not distribute linearly but along an interceding circle:

• 2 / pi / r

is this mistaken identity wholly responsible for dark energy ? let’s compare the difference between 2 * pi * r and r relative to 2 * pi * r:

• (2 * pi * r - r) / 2 / pi / r

• (2 * pi - 1) / 2 * pi = ~0.841

that’s pretty close to the observed ~85% of all matter that is dark. the effect of dark matter is that the outer edges of large galaxies spin faster than expected. maybe that’s because they’re whooshed along by a series of invisible rolling pins that form along the lines of gravity surrounding a mass source — a tangential force.