It was noticed by Milgrom (1983) that the transition yellow to orange always occurs at an orbital acceleration of 2x10^-10 m/s^2. This is also true by the way of globular clusters that dark matter cannot be applied to. The wavelength of Unruh radiation depends on acceleration (a) as follows: wavelength~8c^2/a. For stars in the yellow the orbital acceleration (a=v^2/r) is high, so the Unruh wavelength is short (shown by the bottom red sine wave). As you go radially outwards, the orbital acceleration drops, so the Unruh waves lengthen (see the second red wave from the bottom). Near the point where the stars start to misbehave the Unruh waves become as long as the Hubble scale (see the two upper red curves). Milgrom noticed this telling link between dynamics and cosmology but could not explain it in his MoND model (this critical acceleration has to be input by hand) and if you try the numbers: wavelength = 8c^2/(2x10^-10) = 36x10^26m you'll see the predicted Unruh wavelength is 14 times larger than the Hubble scale which is 2.6x10^26 m.
MiHsC specifically explains this dynamics-cosmology link: it predicts it! MiHsC says that the inertial mass of objects is caused when they accelerate and an information horizon forms damping Unruh radiation, making it vary in space, and so able to push to oppose the initial acceleration. However, only Unruh waves that fit exactly (resonate) within the Hubble horizon are allowed (those with nodes at the horizon, see the diagram). The logic is that partial waves would allow us to infer something outside the horizon (that part of the wave) which would defeat the purpose of the horizon. So, as the Unruh waves lengthen, a lesser proportion of them are allowed (it is rather like a Hubble-scale Casimir effect) so the outer stars' Unruh-radiation-induced inertial mass collapses, they feel less centrifugal force, and so they can orbit much faster without the galaxy exploding. In this way MiHsC predicts galaxy rotation, with no dark matter needed.
The fact that the Unruh wavelength stars see when they start to misbehave in galaxies is equal to the observed distance to the Hubble horizon, is a direct indication of MiHsC. A smoking gun in every galaxy. Something that the ad hoc dark matter hypothesis can never hope to achieve.
Milgrom, M., 1983. ApJ, 270, 365.
McCulloch, M.E., 2007. MNRAS, 376, 338-342. https://arxiv.org/abs/astro-ph/0612599
What's the effect on Galactic evolution? If it depends on the Hubble distance then it's different with look back time.
Without directly grasping the complexities of MiHsC, I suspect it also explains "Ring Galaxies," the most beautiful of which is Hoag's Object (https://en.wikipedia.org/wiki/Hoag%27s_Object).
The Astronomical Establishment seems to have thrown up their hands, utterly failing to explain how such a thing could have formed. The fun thing is, there is *another* visible in the distance, between its core and ring....
On another tack, I had a thought:
To facilitate high-energy space travel, we have to dispose of a substantial amount of heat, which will be generated by our equipment (whatever the source of the energy); and that which will eventuate from the use of the EmDrive (or other).
Do you postulate any corollary of MiHsC which could function as a high-efficiency Heat Sink (exceeding the so-called Near-Absolute-Zero of interstellar space)?
Something like a Portable Black Hole into which one could dump all that heat would greatly enhance our capabilities.....
qraal: Indeed MiHsC predicts a temporal change in the minimum acceleration of the cosmos, predicting a=2c^2/HubbleScale. So, HubbleScale being smaller in the past the minimum acceleration should have been larger (like ancient inflation). However, I'm now entertaining the idea that c might vary too, which complicates this.
Eric: Hoag's object is interesting. I've just done the calculation taking the central core mass to be M<10^12 Solar masses (O'Connell et al., 1974) and a ring radius (half way thru it) of 4.5x10^20 m (same source) showing that the ring is at an acceleration of roughly < 6.6x10^-10 m/s^2, consistent with the 2c^2/HubbleScale (+/-9%) predicted by MiHsC (the mass though is very uncertain)...
Eric: About a potential heat sink: there's something in MiHsC I call a squeezed horizon, wherein an acceleration shrinks the Rindler horizon erasing information and releasing Unruh-heat, some of which might leak out into our world. How about the opposite: if we could stretch a horizon (don't ask me how!) it might convert heat to information..? Intriguing line of inquiry.
Bud: Yes, MiHsC does predict the creation of mass. If interested see my paper here: http://www.mdpi.com/2075-4434/2/1/81
Does MiHsC predict the creation of mass? (To keep the universe flat?) My understanding of Hawking radiation is that virtual partials at the its edge creates a matter-antimatter pair The matter is released to the exterior and the anti-matter partial combines with a particle on the interior. If the Rindler Horizon creates mass in a similar way that infers there is mass exterior to the Rindler horizon. If so, would this mass be mass that was between the Rindler and Hubble Horizons or could mass be transferred from even beyond the Hubble horizon?
Sorry I'm always editing. Is mass created, or merely transferred?
I read created. If Unrah radiation is a thing, then it seems that it would exhibit particle-wave duality. The bands of stars in galaxies that form what are called arms remind me of interference patterns.
/* I suspect it also explains "Ring Galaxies," the most beautiful of which is Hoag's Object */
The rings and shells of dark matter were already predicted/explained with MOND, so that the MiHsC theory shouldn't have problem with it too. The Hoag's object is unusual in the sense, it probably resulted from collision of two galaxies of quite different age: the one older and rich of dark matter, the second younger poor of dark matter. Therefore the distribution of star velocity inside the Hoag's object may not be easily predictable with both MOND, both MiHsC without more detailed knowledge about actual dark mass distribution.
Any idea as to why Milgrom's "galactic transition acceleration" of 2E-10 m/s^2 equates out to an unruh wavelength 14x the Hubble scale and not just barely > 1x the Hubble scale (i.e. just barely too large to resonate within the Hubble bound)?
Migrom's value of 2E-10 m/s^2 is nicely close to MiHsC's criticla acceleration of 6.9E-10 m/s^2, but it seems Milgroms value SHOULD be closer to 2E-9 m/s^2.
With all the evidence of galactic rotation at different scales, if you are going to pick a critical point to adjust gravitational acceleration, any arbitrary point near the MiHsC prediction could be argued to be accurate, especially since the Unruh cutoff is mitigated by thermal effects of macroscopic bodies.
This is not a behavior that has been modeled explicitly with MiHsC yet, as far as I know, though Mike is aware of it and has said as a preliminary that thermal effects largely average out, though I think the Hubble horizon causes a difference between hot and cold objects near the critical acceleration. Podkletnov's tests with (cooled)superconducting rotating discs comes into the discussion here, but I'll leave it here.
Duane: The 'simple' interpolation function of MoND was derived just by trying a function, specifically F=m(1/(1+(a0/a)))a, and then later an attempt was made to compare Unruh waves from it to the Hubble scale, but they didn't fit bcos it's just a guessed function (other functions can be used too, but none are exactly like MiHsC's).
In contrast MiHsC was derived directly from the exact fitting/resonance or not of Unruh waves into the Hubble scale (see my 2007 paper) and so its interpolation function was derived directly from a physical-cosmological model, and so it matches cosmology much better. For comparison, MiHsC's function is F=m(1-(am/a))a
The two models are similar mathematically for higher accelerations since 1/(1+(a0/a)) ~ 1-(a0/a) when a0/a<<1.
Excellent and very exciting site. Love to watch. Keep Rocking. bongs
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