The Tetrast2 - Speculation Lounge
Sketcher of various interrelated fourfolds.
Don’t miss the fourist for the threes.

Where is the fourth?

February 1, 2026.

Recentest substantive update: February 20, 2026.

Fourth items elsewhere ignored, shown
in bold blue small capitals here.
0.1.2.3.4.
Existential choices. Creation.Preservation.Annihilation.Prevention
from existing.
Special relativity.
Assume relativistic units as needed.
pc
Net momentum.
mc²
Rest energy, rest mass.
e
Non-rest energy
(linear energy)
Epc
Gross minus net momentum,
i.e., structure, internally balanced momenta.
Communi­cation.

Semiosis.
Source.

Semiotic object.
Encoding.

Sign, representamen.
Decoding.

Interpretant sign.
Destination.

(Collaterally observant) subject.
Joyce’s 3 aesthetic stages +1. Arrest. Fascination. Enchantment. Devotion.
1 + Aquinas's 3 requisites of beauty. Prominence (due magnitude), salience, with due orientation. Harmony, due proportion, due rhythm. Radiance. Wholeness, intactness, perfection, with due orientation..
Conjoint logical quantities. General-
&-fully-universal.
(Monadic or polyadic)
singular-
&-fully-universal.
General-
&-specil.
(Monadic or polyadic)
singular-
&-special.

Notice Epc at the end of the Special Relativity row above. Epc (or, if you like, Ecp) stands to momentum as SLOWNESS stands to SPEED. I noticed decades ago that Epc would be more useful to consider for a system at high speed than for one at rest. In a rest frame, the quantity's magnitude simply equals the rest mass (rest energy). This is likewise as linear energy is more useful to consider for a system at low speeds than for one at lightspeed, where it equals magnitude of momentum (expressed relativistically). It's almost a mirror-image kind of thing. One needn't be a physicist, it's right there in the arithmetic. Anyway, now (2026-2-17 or so) I find it said by Google AI that Epc is a formula for light-cone momentum and is useful to consider at high speeds. Call it "slowmentum"?—no, that already is defined for another physical quantity. How about "lentorment"? In doodles I used to label it lusk and symbolize it k. I'm not a physicist or a mathematician, but I was fiddling around with these things in search of Aristotle's Four Causes or the like. I think I found them and it's not something lame.

Assume relativistic units (i.e., lightspeed c = 1). Let "m" stand (as is now usual) for rest mass. p = momentum. E = total energy. e = linear energy. k = Ep (remember, c = 1).
E² = p² + m².
E = p+k = m+e.
pm = ek.
pe = mk.
(2ke) = |pe| = |mk| = Eek.
Example:
p=3.   e=1.
   E=5.
m=4.   k=2.
Note principles of Aristotle's four Causes at the corners.
Agent as effector    Act as action (culminal end)

Patient as matter   Act as form (structure, entelechy) (I'd say "borneness", balancement, as form.)
I used not to know that Ancient Latin patiens was a translation of Ancient Greek paschonta (undergoer, sufferer, e.g., "which is cauterized") with connotations like those of passion rather than of patience which are nearly the opposite, I assimilated agent:patient to make:let and must:can. So I had to make a fourfold out of the four causes' three causal principles (agent, patient, act).

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