Hypergendered Logic Source
Hypergendered Logic — Page 282
For every proposed Hyperstage jump bound B, the Raeyol sensitivity scale has no canonical
maximum preventing larger admissible jumps; equivalently, the jump map is unbounded/cofinal in
the adopted Hyperstage order.
The exact analytic function from receptor sensitivity to ordinal jump magnitude is OPEN unless a later
biological law specifies it. "Unbounded" does not license arithmetic such as multiplying an ordinal by a
receptor percentage.
429. Bounded female receptor semantics
Alygorin, Operalin, Zilanin, and Tolurarin receptor sensitivities have effective upper limits. Let R_i^max
denote the maximum effective sensitivity for bounded axis i. The corresponding jump map reaches no target
beyond Omega_H inside one Hyperstage.
0 <= J_i(R_i) <= Omega_H for i in {Alygorin, Operalin, Zilanin, Tolurarin}.
J_i(R_i^max) = Omega_H under the canonical maximum-response convention.
If the current coordinate plus requested jump would exceed the coordinate ceiling, the realized bounded
coordinate cannot exceed Omega_H. This does not automatically carry overflow into a parent coordinate;
any carry rule would contradict endocrine-channel independence unless separately specified.
430. Male Archstage endocrine mirror
Archmanhood has the exact five-channel structural mirror. Halatorin, named after Rhayhara's grandson
Halatayo, is the Archmanhood Hyperstage hormone with Halatorin receptors. Gadoritin is the Stage hormone
with Gadoritin receptors. Juegerin is the Substage hormone with Juegerin receptors. Vardorin is the
Substage^2 hormone with Vardorin receptors. Nozadin is the Substage^3 hormone with Nozadin receptors.
Male controller vector: E_M =
((C_Hal,R_Hal),(C_Gad,R_Gad),(C_Jue,R_Jue),(C_Var,R_Var),(C_Noz,R_Noz)).
The male coordinate bounds mirror the female coordinate bounds: Hyperstage is unbounded; Stage,
Substage, Substage^2, and Substage^3 are each Hyperomega-bounded within a fixed Hyperstage.
Therefore the canonical male receptor-effect mirror is: Halatorin Hyperstage sensitivity is unbounded in its
HGL scale, while the effective Gadoritin/Juegerin/Vardorin/Nozadin jump effects are bounded by Omega_H.
The anatomical endocrine source of these male hormones has not been specified by the present canon and
is therefore OPEN rather than silently assigned to a real-world organ.
431. Hyperstage and bounded-stage jump operators
Define Jump_i(A;J) as the coordinate-update request generated on axis i. For Hyperstage, the jump target is
unbounded: H' = H + J_H where J_H is an admissible ordinal-like Hyperstage jump. For a bounded
intra-Hyperstage coordinate X in {S,U,U2,U3}, the target cannot exceed Omega_H.
Hyperstage target: H' = H + J_H(R_H), with no greatest H.
Bounded target: X' = min_Omega(X + J_X(R_X), Omega_H).
The notation is schematic. If a nonstandard HGL ordinal addition or rank map is later adopted, it must be
named. The important theorem is the bound, not a particular arithmetic implementation.
432. Requested jump versus logically admissible realized jump
A receptor sensitivity can request a large jump, but endocrine magnitude does not erase HGL construction
prerequisites. A jump from one address to a much higher address is valid only if the target state has every
constitutive closure/provenance/profile/quality premise required by the target constructor. HGL therefore
distinguishes RequestedJump from RealizedJump.
RequestedJump_i(A,J) + ClosureComplete(A,target) => RealizedJump_i(A,target).
Source Canon: Verbatim mathematical and modal logic. Interactive navigation and operator lookups available at /#hgl-part:282.