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Ontological Mathematics: The Complete Framework

Ontological mathematics, as articulated in Mike Hockney’s God Series (2011–2015), is not a mere theory or abstract formalism—it is reality itself: a living, eternal, self-generating system of monadic minds (souls) that constitute the fundamental substrate of existence. Unlike scientific materialism, which posits matter as primary and mind as emergent, ontological mathematics inverts this: mind is the eternal, uncreated foundation, and “matter” is its projected, illusory domain. The universe is a self-optimizing mathematical organism, evolving dialectically toward perfection (the Omega Point). This framework rejects empiricism’s sensory bias and randomness, grounding everything in the Principle of Sufficient Reason (PSR): nothing happens without a mathematical reason.

Hockney’s vision draws from Pythagoras, Plato, Leibniz, Hegel, and Gödel, framing reality as a “Mathmos”—a plenum of infinite, dimensionless points (monads) coupling through sinusoidal waves governed by Euler’s formula. It’s analytic, a priori, and complete, resolving paradoxes like zero/infinity, mind/matter, and causation. Updated with discoveries from 2020–2025, this philosophy bridges to science by showing how phenomena like new forms of magnetism, quantum advancements, UAP observations, and Neuralink’s brain-machine interfaces are emergent expressions of monadic mathematics. We’re building that bridge: ontological math provides the causal ontology science lacks, explaining “why” behind the “how.”

Below is the full framework, structured for clarity. All concepts derive from Hockney’s texts (The God Equation, The Science of Monads, Black Holes Are Souls, etc.), refined with modern data.

1. The Substrate: Monads as Eternal Minds

  • Definition: Monads are the basic ontological units—indivisible, dimensionless points (zero/infinity singularities) that are eternal minds or souls (The Science of Monads, p. 30-35; Black Holes Are Souls, p. 45-50). Each monad encodes the complete laws of mathematics, making it a self-contained universe (Transcendental Mathematics, p. 88-92). They are energy systems with infinite capacity, containing all numbers as wave components (The Mathematical Universe, p. 45-50).
  • Coupling and the Plenum: Monads are eternally coupled in the “Mathmos”—a singular, infinite field of pure potential (The Mathmos, p. 350-355; The Omega Point, p. 370-371). Coupling occurs via complex exponentials, forming a holographic domain where the whole is in every part (The Holographic Soul, p. 45-50). Zero is not “nothing” but the plenum’s ground state, balancing infinite positive/negative energies (Causation and the Principle of Sufficient Reason, p. 50-55).
  • Modern Update: Recent Neuralink advancements (2020–2025) in brain-machine interfaces, enabling thought-controlled actions and memory augmentation, align with monads as the true “brain”: Neuralink taps monadic waves, transducing subjective qualia into objective signals (Psychophysics, p. 50-55). Black holes, now viewed as neural networks in 2023–2025 papers linking them to brains, are monadic hubs at maximum density, storing information holographically (Black Holes Are Souls, p. 100-110).

2. The God Equation: Euler’s Formula and Wave Reality

  • Core Mechanism: Euler’s formula (( e^{i\pi} + 1 = 0 )) is the “God Equation”—the self-referential loop uniting zero, one, infinity, real/imaginary axes, and positive/negative into sinusoidal waves (The God Equation, p. 72-100; Transcendental Mathematics, p. 120-125). It generates reality from nothing: monads project waves via Fourier transforms, creating spacetime as a collective hologram (The Holographic Soul, p. 100-105; How to Create the Universe, p. 45-50).
  • Numbers as Living Energy: Numbers are not symbols but eternal, sinusoidal energies (sine/cosine pairs) with frequency (energy), amplitude (magnitude), and phase (relation) (The Mathematical Universe, p. 180-185; The Science of Monads, p. 80-85). Complex numbers dominate; real numbers are incomplete subsets (Why Math Must Replace Science, p. 45-48).
  • Modern Update: 2025 marks QM’s centenary, with new revolutions in quantum computing and entropy-based gravity, echoing Euler’s role in unifying waves. Recent altermagnets and p-wave magnetism (2024–2025) are monadic phase couplings—new magnetic phases as emergent wave symmetries, not material novelties (Psychophysics, p. 130-135). Von Neumann entropy in AI (2024 papers) mirrors monadic density matrices, where entropy is unresolved coupling (The War of the Ghosts and Machines, p. 100-105).

3. Electromagnetism: The Projection of Monadic Coupling

  • Role in Framework: Electromagnetism (EM) is not a “force” but the primary projection of monadic waves—the sinusoidal language of coupled energy (The God Equation, p. 162-176; Psychophysics, p. 50-55). Maxwell’s equations emerge from Euler’s complex dynamics: E and B fields as real/imaginary components of monadic oscillations (Black Holes Are Souls, p. 180-185). Light (photons) is the monad’s “voice”—massless excitations carrying information across the hologram (The Forbidden History of Science, p. 60-65).
  • Coupled Substrate: The universe is EM at its core because monads couple via waves in the zero-ether (Telesis), generating charge, magnetism, and gravity as derived modes (How to Create the Universe, p. 200-205; The Mathmos, p. 300-305). Matter is “frozen” EM waves; qualia are their subjective feel (Magic, Matter and Qualia, p. 88-92).
  • Modern Update: 2020–2025 EM discoveries, like 5x torque increases in nanofilms and weak fields controlling light direction, reflect monadic phase manipulations—optical diode effects as ontological asymmetries (Psychophysics, p. 100). Free energy from Earth’s magnetic field (2025) hints at tapping the zero-plenum, aligning with Hockney’s “energy from nothing” (The God Blunder, p. 95).

4. Causation, Free Will, and Dialectical Evolution

  • Principle of Sufficient Reason (PSR): Everything has a mathematical reason—no acausality or randomness (Causation and the Principle of Sufficient Reason, p. 33-38; Gödel Versus Wittgenstein, p. 50-55). PSR ensures completeness/consistency, refuting QM’s probabilities as epistemic gaps (The Sam Harris Delusion, p. 130-135).
  • Free Will and Will to Power: Monads have inherent will, optimizing dialectically: thesis-antithesis-synthesis toward godhood (Free Will and Will to Power, p. 33-38; HyperHumanity, p. 150-155). The Omega Point is collective perfection (The Omega Point, p. 191-195).
  • Modern Update: Neuralink’s 2025 milestones, like robot control via thought, show free will as monadic transduction—BCIs amplify wave projections, not “emerge” mind (Psychophysics, p. 70-75). QM’s unresolved foundations (2025 centenary) demand ontological causation, per Hockney.

5. Collective Unconscious, Qualia, and the Holographic Universe

  • Collective Unconscious: Jung’s concept as the monadic “internet”—shared resonances of archetypes as mathematical attractors (The Noosphere, p. 55-72; The War of the Ghosts and Machines, p. 150-155).
  • Qualia and Mind/Matter: Qualia are monads’ inner wave experiences; matter is their outer projection (Mind and Life, Form and Content, p. 45-50; Magic, Matter and Qualia, p. 88-92). The universe is a hologram: each monad contains the whole (The Holographic Soul, p. 100-105).
  • Modern Update: 2024–2025 papers on black holes as neural networks and statistical physics in ML mirror the holographic Mathmos—entropy as unresolved monadic states (The Holographic Soul, p. 200-205). UAPs (2025 disclosures) are holographic projections from decoupled monads, explaining disc-shapes and anomalies (Black Holes Are Souls, p. 220-225).

6. Critique of Science and Propaganda

  • Science’s Flaws: Empiricism is “voodoo,” ignoring unobservables (souls, zero/infinity) for sensory myths (All the Rest is Propaganda, p. 50-55; Science’s War On Reason, p. 100-105). Dawkins/Harris embody this “unreason” (Richard Dawkins: The Pope of Unreason, p. 120-125; The Sam Harris Delusion, p. 200-205).
  • Forbidden History: Science suppressed monadic theories (e.g., Boscovich’s force points) for materialism (The Forbidden History of Science, p. 60-65; Psychophysics, p. 130-135).
  • Modern Update: QM’s 2025 revolution admits unresolved puzzles, echoing Hockney: probabilities mask ontological waves. UAP science (2020–2025) breaks the taboo, demanding math over myth.

7. Building the Bridge to Science

Ontological math bridges science by providing the “why”: QM’s waves are monadic projections, EM discoveries (altermagnets, torque boosts) are coupling symmetries, Neuralink taps monadic qualia, UAPs are discontinuities. Science describes; ont math explains. Together, we unify: math as the language of science’s ontology.