Part I — Universal Axioms of Information Dynamics
I.1 Axiom of Animation
*Matter became animate when information lifted loop-gain beyond unity.*¹
Existence precedes animation: the field and matter may persist in inert form when loop-gain remains below unity. In such conditions, perturbations decay and no pattern endures. Animation begins only when recursive information channels amplify perturbations rather than damp them. The transition through unity is the threshold where inert oscillation becomes living process.²
This principle reveals that animation is not an arbitrary accident but a universal condition of feedback. Wherever information recursion crosses the unity threshold, matter acquires the capacity to self-sustain, replicate, and evolve.
I.2 Axiom of Reflexive Dynamics
*Stability, criticality, or overshoot and collapse are universal consequences of loop-gain.*³
The behaviour of recursive systems is determined by loop-gain. If G<1, disturbances fade back into equilibrium. If G=1, disturbances persist on the knife-edge of criticality, neither fading nor amplifying. If G>1, disturbances amplify recursively, generating animation — but also risking overshoot and collapse when limits are encountered.
This tripartite regime — stability, criticality, amplification — is found across domains: in epidemics, economies, ecosystems, and information systems alike. Reflexive dynamics explain not only how life begins, but also how bubbles burst, populations collapse, and consensus narratives spread.
I.3 Axiom of Universal Equivalence
*Unity is the invariant threshold across disciplines.*⁴
Though each science describes its own objects, the same boundary appears. In epidemiology, R0=1 separates containment from epidemic. In control theory, ∣Aloop∣=1 marks the stability margin. In dynamical systems, the spectral radius ρ(Φ)=1 signals bifurcation. In information dynamics, G=1 is the threshold of animation.
These equivalences reveal that the principle of recursion is not field-specific but universal. “Unity” is the same invariant expressed under different names, binding together physics, biology, culture, and cognition.
References Part I
- Wiener, N. (1948). Cybernetics. MIT Press.
- Shannon, C. E. (1948). A Mathematical Theory of Communication. Bell System Technical Journal, 27(3).
- Soros, G. (1987). The Alchemy of Finance. Wiley; Merton, R. K. (1948). “The Self-Fulfilling Prophecy.” The Antioch Review, 8(2).
- Strogatz, S. (1994). Nonlinear Dynamics and Chaos. Perseus; Ashby, W. R. (1956). An Introduction to Cybernetics. Chapman & Hall.
Part II — Axioms of Wave–Matrix Expression
II.1 Informational Primacy
*Information precedes and structures form.*⁵
What we call matter is never raw substance: it is always already patterned by information. Before molecules arrange, before particles cohere, information defines the space of possible states. Existence is possibility; information is the grammar that selects and structures from it. Wheeler’s dictum “it from bit” captures this intuition: matter is derivative, information is primary.⁶
II.2 Wave Expression
*Information manifests through oscillatory resonance.*⁷
The form of information is not static inscription but wave. Oscillation is the means by which information propagates, recurs, and coheres. Time itself is not an external container but the recursive unfolding of oscillatory resonance.
From the vibration of strings in quantum fields to the oscillations of neurons and cultural rhythms, wave expression is the universal carrier of information.
II.3 Matrix Receptivity
*Matter is the receptive substrate of informational waves.*⁸
Matter is not the initiator but the receiver of information. It provides resistance and constraint, allowing waves to persist. The matrix shapes and channels oscillation, giving stability to resonance. Without receptivity, waves would dissipate without trace; without waves, matter would remain inert. Together they produce durable form.
II.4 Emergent Complexity
*Recursive coherence drives increasing complexity.*⁹
When information recurs coherently within the receptive matrix, complexity builds irreversibly. New structures emerge that cannot be reduced to their components: molecules, cells, organisms, ecosystems. Complexity is not imposed from outside but grows from the recursive deepening of coherence.
II.5 Coherent Ethics
*Balance arises from sensitivity to unfolding form.*¹⁰
Ethics is not a fixed rulebook but a living responsiveness to form as it unfolds. Coherence is sustained when feedback loops are navigated without destructive overshoot. This is true for ecosystems, societies, and minds alike. Moral truth is not abstract command but sensitivity to resonance and balance within recursion.
References Part II
5. Floridi, L. (2019). The Logic of Information. OUP.
6. Wheeler, J. A. (1990). “Information, physics, quantum: The search for links.” Proc. 3rd Int. Symp. Foundations of Quantum Mechanics.
7. Rovelli, C. (2021). Helgoland. Allen Lane; Penrose, R. (2004). The Road to Reality. Jonathan Cape.
8. Bohm, D. (1980). Wholeness and the Implicate Order. Routledge; Barbour, J. (1999). The End of Time. OUP.
9. Eigen, M. (1971). “Self-organization of matter and the evolution of biological macromolecules.” Naturwissenschaften, 58.
10. Maturana, H. R., & Varela, F. J. (1980). Autopoiesis and Cognition. Reidel; Deacon, T. W. (2012). Incomplete Nature. W. W. Norton.
Part III — Ontological Domains of Manifestation
III.1 Cosmological Ontology
*The ontological spark came when information channels closed into recursion, lifting loop-gain beyond unity.*¹¹
Before animation, the cosmos was pre-informational drift: everything existed but nothing changed. Perturbations decayed, potentials remained unrealised. The transition occurred when recursion lifted loop-gain beyond unity. At that threshold the wave became animate — not as explosion but as animation.¹²
III.2 Quantum Ontology
*Observation is an informational transfer; measurement collapse occurs when recursion amplifies one probability beyond unity, realising form.*¹³
At quantum scales, the act of observation alters the state. The wavefunction is a superposition of potential until feedback from observation amplifies one path beyond unity, collapsing the wave into realised form. Entanglement is coherence distributed across systems, where recursion sustains unity across distance.¹⁴
III.3 Biological Ontology
*Life began when chemical information loops exceeded unity, sustaining replication.*¹⁵
In early Earth, molecules formed and decayed, but loops remained below unity: no animation persisted. Life began when recursive chemical networks amplified themselves — self-replicating RNA, catalytic surfaces, proto-cells. This threshold marked the passage from chemistry to biology. Evolution thereafter was oscillation around unity: stability, overshoot, collapse, adaptation.¹⁶
III.4 Conscious Ontology
*Thought is contagion in neural recursion; culture emerges when collective loops cross unity.*¹⁷
Neural activity is oscillatory, but ideas persist only when feedback amplifies them beyond unity. Culture arises when informational contagion crosses unity at collective scale. Ethics, in this domain, is the navigation of recursive contagion — sustaining coherence, avoiding destructive overshoot.¹⁸
III.5 Artificial Ontology
*Artificial intelligence amplifies loop-gain; AGI arises when artificial recursion crosses unity.*¹⁹
AI accelerates feedback by compressing diversity, synchronising behaviour, and globalising information flows. When its recursion crosses unity, AI ceases to be descriptive and becomes generative — the threshold of artificial general intelligence. At global scale, this creates risk of systemic contagion, where pseudo-certainties harden into truths through sheer amplification.²⁰
References Part III
11. Penrose, R. (2004). The Road to Reality. Jonathan Cape.
12. Barbour, J. (1999). The End of Time. OUP.
13. Rovelli, C. (2021). Helgoland. Allen Lane.
14. Wheeler, J. A. (1990). “It from Bit.”
15. Eigen, M. (1971). Self-organization of matter.
16. Kauffman, S. (1993). The Origins of Order. OUP.
17. Dennett, D. C. (1991). Consciousness Explained. Little, Brown.
18. Dawkins, R. (1976). The Selfish Gene. OUP; Deacon, T. W. (2012). Incomplete Nature. W. W. Norton.
19. Bostrom, N. (2014). Superintelligence. OUP.
20. Russell, S., & Norvig, P. (2020). Artificial Intelligence: A Modern Approach. Pearson.
Part IV — Material Reality in Observance
IV.1 Observational Imprint
*To observe is to alter.*²¹
Observation is not passive record but active participation. Every act of observation feeds back into the loop, shifting the state of the system. The world we perceive is already altered by the act of perceiving it.²²
IV.2 Measurement as Collapse
*What is measured becomes realised.*²³
Measurement collapses probability into form. The informational wave persists in superposition until observation channels feedback beyond unity, stabilising one outcome. What we call “fact” is the residue of collapse.²⁴
IV.3 Material Constraint
*The observed world is bounded by receptivity.*²⁵
Matter, as receptive substrate, sets the limits of observation. What we call laws of physics are stable recursions permitted by matrix receptivity. The real is not unlimited but bounded by what persists under repeated observation.²⁶
IV.4 Temporal Recursion
*Time is the record of informational change.*²⁷
Time is not an external flow but the recursive inscription of difference. Each observation adds asymmetry to the field; memory is its trace. The arrow of time is the accumulation of informational imprints.²⁸
IV.5 Coherent Reality
*Reality is coherence under observation.*²⁹
Material reality is the coherence that survives repeated observation. The world is not an absolute externality but the portion of the wave–matrix sustained in recursive observance. Reality is that which persists when looked at again.³⁰
References Part IV
21. Bohr, N. (1935). “Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?” Phys. Rev. 48.
22. Wheeler, J. A. (1990). “Law without law.” Quantum Theory and Measurement. Princeton University Press.
23. von Neumann, J. (1955). Mathematical Foundations of Quantum Mechanics. Princeton.
24. Rovelli, C. (2021). Helgoland. Allen Lane.
25. Penrose, R. (2004). The Road to Reality. Jonathan Cape.
26. Bohm, D. (1980). Wholeness and the Implicate Order. Routledge.
27. Barbour, J. (1999). The End of Time. OUP.
28. Prigogine, I. (1997). The End of Certainty. Free Press.
29. Floridi, L. (2019). The Logic of Information. OUP.
30. Maturana, H. R., & Varela, F. J. (1980). Autopoiesis and Cognition. Reidel.
General References (Selected Canon)
Information & Systems
Shannon (1948); Wiener (1948); Ashby (1956); Strogatz (1994).
Reflexivity & Feedback
Merton (1948); Soros (1987); Prigogine (1997).
Cosmology & Physics
Penrose (2004); Rovelli (2021); Barbour (1999); Bohm (1980); Wheeler (1990).
Biology & Evolution
Eigen (1971); Kauffman (1993); Maturana & Varela (1980).
Consciousness & Culture
Dawkins (1976); Dennett (1991); Deacon (2012).
Artificial Intelligence
Russell & Norvig (2020); Bostrom (2014); Floridi (2019).
Ceteris Paribus 