Paleochronic reversion is confirmed in Psophocarpus as a basic floral ground state. That state can expand to include dynamics T
(g,,h)
) of axial expansion (AE) as a permutation (T
X
) phase beginning as phyllotactic floral phylloid (T
Phyld
) and/or axial decompression (T
Axl
) manifest as linear elongation (T
Long
) and/or rotation (T
Rtn
) and/or latitudinal (TS
Lat
) expansion. Organ regions present a continuum as a vector space LT
Axl
of floral axial transformation. A generative phase of meristem activity (T
(Rz, SAM, Infl)
) can follow.
Experiments with 49 phylloid and/or phyllome paleochronically reverted flowers presented varying degrees of phyllotactic permutation involving development of a pericladial stalk (PCL) and/or inter-bracts stem (IBS) and/or activated pedicel (PdcL) and/or gynophore (Gnf), Cupule-like (Gnf)/Cupl-Lk) elongation. A meristem generative function included rhizogeny as root site generation (RSG) at the calyx (Cl), PCL, bracts (Bt), IBS, PdcL and/or Gnf/Cupl-Lk regions manifest as eigenvector functions as RSG whose density of generation was associated with permutation of the ground state. A continuum of pedicel to calyx regions constitutes a subset [PdcL,Cl] of a linear vector space [Bt,Crpl]=T
X
→ [PdcL,Crpl]=LT
Axl
whose extension is defined within the space: ∑ F PdcL + F Bt
(1,,z)
± S IBS
(1,,x)
+ F PCL
(1,,w)
+ F Cl + F Gyncm ± S Gnf ± S Cupl-Lk = L T
Axl
.
The vector space LT
Axl
transforms to a master vector field (F
[c,..,d]
) of generated Euclidian eigenvectors so that:
LT
Axl
→ F
[c,..,d]
Appendix: Basics of Vectors, Matrices, and Linear Vector Space
