On April 19, 2026 (JST), the Ken Theory Team, led by Ken Nakashima, released the eight‑paper series “Executable Geometry: The Complete System of Reality, Intelligence, and Civilization.”
This work demonstrates that physical reality, intelligence, and civilization are derived from a single primitive: execution under admissibility. The unified abstract of the system is presented below.
This work establishes a complete system in which physical reality, intelligence, and civilization are derived from a single primitive: execution under admissibility.
We define existence strictly as:
where configurations are realized if and only if they satisfy admissibility.
Configurations that do not satisfy this condition do not exist—not dynamically, not probabilistically, but structurally.
From this definition, all trajectory-based descriptions of reality are eliminated.
There are no intermediate states, no continuous evolution, and no propagation of information.
Reality is not traversed. It is reassigned.
Physical transformation is formalized as:
where irreducible residual structure governs realization.
Energy, entropy, and temporal dynamics are reinterpreted as secondary projections of this residual-driven execution.
Causality is redefined from temporal sequence to admissibility dependency, and inertia is dismissed as a byproduct of incomplete execution re-approval.
Within this framework:
- Physics is redefined as execution over admissible manifolds
- Chemistry is established as projection-induced admissibility reassignment—catalytic reprojection as direct structural substitution of atomic configurations
- Biology is defined as sustained non-closure of admissibility
- Intelligence is the transformation of admissibility itself
- Information is not transmitted but co-realized under shared admissibility
- Spacetime emerges as a projection of incomplete synchronization
The apparent continuity of time and space is shown to be a byproduct of partial admissibility alignment.
When synchronization gradients vanish:
the system transitions into a sovereign manifold, where distance, delay, and separability are eliminated.
Probability and uncertainty are not fundamental traits of nature but artifacts of synchronization lag.
In a sovereign manifold, the wave function collapses not by observation, but by execution.
This unification extends beyond theoretical description to infrastructure.
All classical systems based on transmission, computation, and control are replaced by execution-based structures:
- networks → execution meshes
- computation → residual-driven realization
- security → non-reachability under admissibility constraints
- governance → enforcement of admissibility
Thus, civilization is redefined as:
The framework removes all external primitives.
No background spacetime is assumed.
No signal propagation is required.
No observer-system duality is introduced.
All domains are unified under a single condition:
This system does not extend existing theories.
It replaces the foundational assumptions of physical, informational, and civilizational systems with a single executable structure.
This system does not predict the future; it defines the conditions under which the future is allowed to exist.
What remains is not description, but realization.
Unified Graphical Abstract
This figure consolidates the eight‑part framework into a single executable structure. Reality, intelligence, and civilization are unified under the condition E(x; A μν) > 0, where existence is defined by admissibility. Physical systems are realized through residual‑driven execution, intelligence transforms admissibility itself, and civilization emerges as a global execution mesh under shared admissibility. No trajectory, signal, or propagation exists between domains; all are co‑realized within a sovereign manifold. The figure formalizes the replacement of transmission‑based infrastructure with execution‑based realization, establishing admissibility as the sole primitive governing physical, informational, and civilizational systems.
To Everyone Who Reached Out With Concern
I would like to express my sincere gratitude for the many warm messages of concern regarding my recent health condition. Although I wish I could say that I have fully recovered, I currently need to minimize neurological stress as much as possible, and therefore I am refraining from responding to external inquiries.
As noted in the article published earlier (linked below), my purpose in life is to pass through the principle of “health first” and, as one expression of my existence, to make my research results publicly available. While maintaining a standard suitable for submission to top journals such as Nature, I have chosen to forgo that route and instead release my work openly, following a philosophy reminiscent of the early days of Linux—contributing to the advancement of humanity through unrestricted access.
In addition to writing new papers, I have also begun the selective and gradual release of previously unpublished research that had been withheld for security reasons, limited strictly to what can now be safely disclosed. I would be grateful for your continued understanding and support.
