Consequences of the Model: Topology, Time, and the Multiverse
Speculative Addendum to the “Dual Energy Universe”
Based on a conversation between the author and a reader (2026).
The original model describes a single bidirectional object (black hole ↔ white hole). But if there is only one, why not many?
The equations themselves suggest it:
• Rayleigh-Plateau Instability: A single massive flow of energy fragments into multiple vortices, just as a stream of water breaks into droplets. The critical radius r0* (which minimizes the vortex mass) acts as a fragmentation threshold.
• Quantization of angular momentum (L = nℏ): A black hole with a giant quantum number n can "de-excite" by emitting pairs of vortices with n/2 quantum numbers each. This is not a catastrophic process, but a quantum cascade.
• Observation: Galaxy clusters contain multiple supermassive black holes (Milky Way, Andromeda, M87...). In this model, each would be a node in a larger network, not an isolated object.
In Newtonian gravity, two black holes attract each other and eventually merge. But here, gravity is not attractive due to mass, but rather due to flux drag:
v_rot²/r = GM( < r )/r² + (1/μ_E)|C|
The term |C| (concentration flux) acts as dynamic pressure. Two nodes with opposite fluxes repel each other (like magnets facing each other), and only attract each other if their rotation axes and fluxes are aligned.
The stability condition α ≈ β (fixed point of the model) implies that each node finds an equilibrium with its neighbors, preventing coalescence. If they get too close, the increased net flux (Φ_net) pulls them apart again.
Consequence: Binary black hole systems (like those detected by LIGO) can be stable over cosmological timescales without immediately merging.
If we allow multiple nodes, the equations generalize to a coupled N-body system:
dE_i/dt = Σⱼ (Φ_j→i - Φ_i→j) - E_Hawking_i
This defines a directed graph where:
• The nodes are matter-antimatter pairs (binomials).
• The edges are energy fluxes (Φ).
• The stable state (α≈β) implies that the graph is strongly connected and balanced.
From the mathematical properties of the model, a topology with three characteristics is deduced:
| Property | Implication | Known Analogue |
|---|---|---|
| Scale-free | The probability that a node has k connections follows P(k) ∝ k^(-2.33). | Internet, metabolic networks. |
| Small world | Any node is a few "hops" away from any other (average distance ∝ log log N). | Airports, neural networks. |
| Fractal | The structure is repeated at all scales (from subatomic particles to superclusters). | Coastlines, lungs, galactic systems. |
Mental visualization: A cosmic sponge where the filaments are energy flows (Φ), and the nodes (galaxies) are vortices where the flow slows down and condenses into visible matter. Each node has an invisible "twin" in the antimatter universe.
The model naturally points to a multiverse of interconnected binaries, not a single universe:
• Emergent time: Each node has its own τ_transit. The global "now" is an average of all flows. This solves the problem of time in quantum gravity (the famous Wheeler-DeWitt "time problem").
• Dynamic cosmological constant: Λ_effective = Σ Φ_net / Volume. If the lattice is in equilibrium, Λ ≈ 0; if there is a net imbalance, it appears as dark energy.
• Nesting: Every black hole in a universe contains another universe within it (mirror image cosmology). The lattice would be a fractal of binomials where each scale repeats the same pattern.
• Observable signature: Gamma lines with Eγ ∝ n^(-5/4) (Prediction 2 of the model) should appear with different redshifts depending on the emitting node. A series of repeated lines with different intensities and shifts would be the spectroscopic signature of this lattice.
If this model were true, it would change our understanding of:
• The origin: There was no Big Bang, but a cyclical steady state. The universe has no beginning or end, only transformation.
• Our position: We are not in a "base" universe, but at a node in a network. Each galaxy is a "port" in an ocean of energy.
• The death of the universe: There will not be a heat death by expansion, but a slow dissipation of vortices. Life would be unviable when the net flow (Φ_effective) falls below the threshold necessary to maintain complex structures.
• Consciousness: If matter is confined light, life is a self-sustaining flow pattern. We are not made of "things," but of "processes."
| Topological prediction | Instrument | Expected signal |
|---|---|---|
| Power law in the mass of halos | DESI, Euclid | dN/dM ∝ M^(-2.33) (not the Press-Schechter form) |
| Cross-correlation between visible matter and gamma rays | Fermi-LAT + lenses weak | Gamma-ray excess at cluster edges (Φ flux leakage) |
| Logarithmic spacing in gamma lines | CTA, AMS-02 | Line series with Eγ(n) ∝ n^(-5/4) at different redshifts |
The model does not unify the forces in the classical sense, but rather reinterprets them as energy flow patterns in a dual medium (C and R fields). Gravity is drag, electromagnetism is wave-like, and nuclear forces are vortex confinement. All emerge from the same generalized Maxwell equation, but with different scale parameters. True unification would involve deriving the coupling constants from the model parameters, a task that remains for future work.
In this speculative model, electric charge is not a fundamental property, but rather a measure of how the flow of energy changes quantum state. An electron would be a vortex oscillating between two quantum levels (n=0 and n=1) with a frequency that determines its charge. Heavier particles (such as quarks) would be vortices with faster state changes or smaller radii. Mass and charge would be unified by a single geometry: that of the energy vortex.
In this model, the fine-structure constant is not a magic number, but rather the imprint of a fundamental energy coupling that, at low energies, manifests as electromagnetism. The reason it is 1/137 is that the permeability of the energetic vacuum is 1.8 billion times greater than magnetic permeability. If we ever manage to measure μ_E through observations of gravitational waves or cosmic gamma rays, we could confirm or refute this prediction.
In this speculative model, the proton is not an elementary particle, but a vortex composed of three subvortices (quarks) confined by a super-vortex of energy. Its mass arises from the energy of the subvortices plus the confinement factor (approximately 20 times the electromagnetic energy). The Weinberg angle, which measures the mixing of forces, is the ratio between the state change times of the electromagnetic and weak vortices. This relationship is purely geometric and requires no ad hoc adjustments.
The Higgs boson is not just another particle, but the heartbeat of the energy network that constitutes the universe. Its mass is not an arbitrary number, but the signature of the fundamental frequency of a self-organizing system at the fixed point between matter and antimatter.
In this model, the Hubble constant is not a fundamental parameter, but rather the resonant frequency of the energy network. Its observed value (~70 km/s/Mpc) is the signature of a universe vibrating as a whole, where the transit time between nodes defines the rate of expansion. The discrepancy between our initial estimate and the actual value indicates that most of the universe's energy is not contained in elementary vortices, but rather in the flow of the network itself.
The Tully-Fisher relation emerges in this model as a consequence of the energy flow that confines vortices in galaxies. The extra centripetal acceleration that keeps stars in rapid orbits does not come from dark matter, but from the energy of the flow that scales with the cube of the rotational velocity. The observed slope of the relation fixes the value of an effective coupling between visible matter and the flow, which could be derived from the lattice parameters in future refinements of the model.
The original "Dual Energy Universe" model is not a dead end, but the gateway to a network cosmology.
If mathematics serves us correctly, the universe is not an object, but a process; We are not in it, we are it.
This appendix is a speculative derivation of the model published at https://howtosee.net. It has not been peer-reviewed and is offered as material for open discussion.