Solar activity spikes as Comet ISON approaches perihelion and continues as the comet’s remnant exits the NASA/ESA SOHO LASCO C3 viewing area. Solar volatility included some robust X-ray flares and coronal mass ejections, all of which serve to distinguish the comet’s perihelion window from the much calmer period that immediately precedes it.
the multiplicative inverse relationship
between
spatial context and temporal continuity
Filed under 10 Words or Less, Reason, Science
Some may find this unique table helpful in understanding spheres.
Beyond the purely mathematic, this fully symmetrical regime may also find application in physics, sociology, ontology and economics.
Note: Using the diametric mode for calculations (mentally or on paper) can be quicker than employing the formal (radial) convention, especially when working with hyper-dimensional domains, exponential growth scenarios, or when one is in need of an easier way to factor between domains of differing dimensionality.
If you would like a personal, complimentary copy of this chart in PDF format (8.5″x11″ – but infinitely scalable) use the form below. Comments optional.
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Notes:
All versions since 2004 have reflected the much needed repair of the broken symmetry found in the 0-sphere definition under the prevailing n-sphere generalisation.
If you prefer the formal mode for transforms between exterior and interior space, simply use •r/d instead of •D/2d.
If you’re a student, check with your professor before applying these principles in your work. If you are the professor, just use your best judgement …and maybe get a second faculty opinion. 😉
Jan. 19, 2011 – Image updated from 2004 version to new 2011 version.
Jan. 22, 2011 – Minor aesthetic changes; image updated.
Jan. 23, 2011 – Diametric ext values adjusted by -1; image updated.
Oct. 26, 2011 – Minor text/aesthetic changes; explicatory notes added.
Dec. 28, 2011 – Declared dimensions as a single-character variable (d);
image not updated — use request form below for most current version.
Jan. 10, 2012 – Image updated.
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In the example of the atom, one must stop knowing that one is stationed on the outside, looking in, and start imagining that one is on the inside, looking out.
In the example of the universe, flip that.
I saw an interesting question on the Big Question blog tonight:
Q: What is gravity made out of?
A: Gravity is made of mass. No mass. No gravity.
Mass has a natural affinity for mass. The attraction works in much
the same way that tiny bubbles in a liquid (the medium) tend to merge
into larger bubbles — with the difference being that the medium of
gravity is the vacuum that exists in both the atomic centre and in all
intervening distances between elemental masses, which, to an atom,
are indistinguishable from the vacuum of space. The concentric layers
of the atomic structure maintain a state of separation between the
internal and external vacuums creating an interactive ‘anti-medium’
which facilitates and exposes the observed ‘attractive’ mass effect.
In a somewhat wry, McLuhan-esque way: The medium is the mass–age.
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For more on gravity…
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