Replacing Lambda with a Dynamic Matter Creation Field (The CCD Model)

[logihouse]

I have been following the critical discussions here regarding the fundamental flaws in the standard LCDM model.I would like to propose a theoretical framework called CCD (Continuous Creation Dynamics), which offers a path to eliminate Dark Energy by extending General Relativity rather than patching it.
The Core Mechanism:
Instead of a static vacuum energy, the model posits that the global gravitational potential Phi is dynamic. The relaxation (decay) of this potential acts as the physical driver that necessitates matter creation to satisfy the Einstein Field Equations.
Key outcomes of the derivation:
Replaces Lambda: The cosmic acceleration is derived as a geometric consequence of potential decay Phi, rendering "Dark Matter and Energy" redundant.
Matter Creation The model predicts a continuous creation rate of approx. 1.22 protons/km³/yr, derived purely from the critical density condition.
Hubble Tension: By linking expansion to the local potential depth, it offers a natural resolution to the H0 discrepancy between local and CMB measurements.I believe this provides the physical driver for expansion that is missing in current phenomenological models.

The model is highly falsifiable due to its many specific predictions. However, it stands uncontradicted by observations so far and resolves multiple unexplained phenomena.

You can find the derivation and the pre-print here, it is awaiting peer review..

https://zenodo.org/records/17708207

Let me hear what you think...
Best regards,
Thomas Riedel, Independent Researcher

[Francois-Zinserling]

A sober but bold project. Replying from my phone so formatting may be haphazard.

What drew me to read your paper was the proposal for matter creation. I think this is sadly locking in the SM. I have some comments.

The ultimate problem you will face is not the validity of a (your) model. Mainstream is just not buying anything, no matter how hard you sell. Although everyone is aware there are problems, a paradigm shift will come when everyone looks at a new solution and say 'well that was obvious all along, why didn't we think of that?'.

As for your paper, I admit to not being fluent in GR so read my comments with that in mind. Even so, your paper is well ordered and I was able to follow your argument throughout.

Proton creation. You will need to provide a mechanism for that to take it to the next level. Good luck with that because with the complexities QED assigned to a Proton, even the gods have realized they are no longer capable of creating that.
Still on Proton creation. We can easily create electrons and protons in a lab. With just protons you are not conserving charge. Consider exchanging your Proton with neutron, which allows it to cool to a Proton + electron and charge is conserved. I think baryon asymmetry is an overstated problem because the 'positron' is obviously in the Proton.

In GR the vacuum energy is <<<, so as to prevent self collapse. I think that's a fallacy that energy itself doesn't collapse on itself, only when coupled to mass, but I digress. In your case is the vacuum energy still low, or is it high? In my opinion if it is the reservoir of 'creation' it must be high, but how would you deal with that?

You propose we test for G in distant galaxies. You may need to propose a method for this too since the married couple of GM usually throws any anomaly onto M. You would need to disprove the assumed M first so that a variable G can be considered.

When starting reading I had envisioned the Proton creation to happen in virgin space, where the local pressure was lowered to the point of 'boiling out a bubble of matter from the superfluid'. <- I just threw this in there to show my initial thoughts.
Yet you propose galactic centres as the low phi points, which means existence of matter lowers the pressure and I'm trying to get my head around that.

Then following from the above you propose large masses as creation points. It would be nice if you could propose a release mechanism from BH. But my question here is how does your positive feedback not run away?

[ExpEarth]

@logihouse

Welcome to ACG!

In general, I like some of the things you are saying and the style you use. But I have some concerns about your method of balancing the various energies of the universe, your omission of forces in the discussion, and the lack of historical context.

Let's start with the historical. Your continuous creation of matter is awfully close to the Steady State model proposed long ago by Hoyle, Narlikar and others. They supposed like you that matter was created continuously in space. The new spacetime arising from this new matter gave rise to cosmic expansion in their model. The Steady State theory was discarded when they discovered the CMB radiation in the 60s. It seems that you should at least cover this history and how you address the criticisms that were made of it.

The way you talk about matter creation causing gravitational potentials to deepen reminds me of the theory by Tryon and others of a zero-sum universe, where mass energy (positive) is equal to gravitational energy (negative). Where new baryons form, new gravitational energy must form at the same time. Referring to this could help you keep track of energy flows in your model. Here is a link to Tryon's initial paper: https://www.nature.com/articles/246396a0

On this basis I could agree with you that the energy that goes into forming new baryons is balanced by energy in the gravitational field (negative). If these two are always equal in quantity, however, then the positive energy going into forming the baryons and the negative energy required to deepen gravitational potentials has to come from somewhere else. Where? Then again, you have added an extra element, the energy of the vacuum, which has different interpretations. I think you are saying that the changing potentials which result from mass creation release vacuum energy, which then creates new baryons plus drives cosmic expansion. But we can't just create new baryons without increasing the potential wells. The gravitational energy would have to generate more of itself. Your picture becomes a little complicated, as you would need to have increasing gravitational energy generate more baryons, more gravitational energy plus cosmological expansion! I don't see how. And I don't see the 'motivation' of the cosmos in doing it this way.

I would suggest there is a third even more fundamental difficulty. Why do we need to create baryons at all unless there is some evidence that baryons are being destroyed somewhere? I'm not sure they are being destroyed. If they are not being destroyed, your continuous creation would throw the universe out of balance. This is what Hoyle and the other Steady Stares thought, but many of us here suppose that the cosmos is in general equilibrium, with all quantities remaining roughly constant over time, and not expanding indefinitely. I do share your idea, however, that a localized collapse could follow expansion in a cyclic model. That could fit with ideas of a black hole universe too.

On this same point, in other discussions here in ACG we have talked about how black holes could be the location where heavier elements are blasted back into hydrogen. What we seem to see coming from BHs jets fits with this. If BHs are breaking down elements like this, however, I don't see why we should think that they are a site where new baryons are being formed.

To sum up, I think you have some interesting ideas in play. At least for me, there is still more work to do in making them clearer and lining up better.

[ExpEarth]

@logihouse I just noticed this paper which seems to say some of the things you do, but perhaps not as well:

https://www.mdpi.com/2218-1997/11/11/356?utm_campaign=releaseissue_universe&utm_medium=email&utm_source=releaseissue&utm_term=titlelink_cover

[logihouse]

It is fascinating to see that other researchers are now also exploring the gravitational potential as a source of energy. Lobo et al.'s work is a significant and welcome contribution from a rigorous, field-theoretic perspective. While our approaches represent fundamentally different paths, it is encouraging that the core idea - tapping into spacetime's geometry to drive cosmic evolution - is gaining traction.

Their model is a top-down extension of General Relativity, adding new terms to the fundamental action to see what emerges. Our CCD model is a bottom-up, physical model, starting from a philosophical principle (no creatio ex nihilo) and building a physical mechanism to fulfill it.

Here is the continued comparison of why the CCD framework offers distinct advantages.

Philosophical and Physical Foundation

CCD: Built on the principle of reversibility and cyclic continuity. Matter creation during expansion is balanced by annihilation during contraction. This directly solves the metaphysical problem of absolute beginnings and the physical problem of entropy accumulation.

Lobo et al.: An extension of the steady-state-like concept into a modified gravity context. Matter is created but not destroyed, which leaves the ultimate origin of matter and the final state of entropy unresolved.

Thermodynamic Completeness

CCD: A thermodynamically closed system over a full cycle. The universe "resets" its entropy by converting matter back into vacuum potential. This is a fundamental solution to the cosmological entropy problem.

Lobo et al.: Describes an irreversible, open system where entropy is produced indefinitely. While this is a valid thermodynamic description, it does not address the ultimate fate of this ever-increasing entropy.

Mechanism of Self-Regulation

CCD: Features intrinsic, geometric self-regulation. The matter creation process itself deepens gravitational wells, which in turn flattens the potential gradients (grad Phi) that drive further creation. This is a robust, built-in negative feedback loop that prevents a runaway catastrophe.

Lobo et al.: The creation rate Gamma is a consequence of their chosen coupling functions. Avoiding a runaway scenario likely requires careful fine-tuning of these functions or external constraints.

Falsifiability and Specificity

CCD: Makes a sharp, falsifiable prediction: a decoupling between lensing mass and dynamical mass in low-acceleration regimes (M_lensing != M_rotation). This provides a clear observational signature distinct from both LambdaCDM and particle dark matter.

Lobo et al.: Offers a framework that can fit cosmological data (like late-time acceleration), but its predictions are often more general and can be degenerate with other models, making it harder to falsify uniquely.

Summary: A Different Class of Model

Feature: CCD Model

Core Principle: Cyclic Matter-Vacuum Exchange

Time Symmetry: Reversible (Creation & Annihilation)

Entropy: Reset each cycle

Energy Accounting: Zero-sum over a cycle

Primary Strength: Philosophical coherence & holistic solution

Primary Test: Lensing vs. Rotation mass discrepancy

Feature: Lobo et al. Model

Core Principle: Curvature-Matter Coupling in f(R) Gravity

Time Symmetry: Irreversible (Creation only)

Entropy: Always increases

Energy Accounting: Continuous injection

Primary Strength: Mathematical rigor within extended GR

Primary Test: Fitting cosmological expansion history

In conclusion, while Lobo et al. provide a powerful and rigorous field-theoretic tool that rightly points to gravity as a source for matter dynamics, the CCD model presents IMO a philosophically complete and self-regulating cosmological narrative. It is not just an alternative to dark energy; it is an alternative to the concept of a universe with a singular beginning and a heat-death ending.

The fact that both paths are now being explored is a testament to a healthy and evolving field, finally looking beyond the Standard Model and LambdaCDM to find a deeper, more dynamic story for our cosmos.

[logihouse]

Complete Response - CCD Model Revision and Q/A
General Comment

Thank you both for the constructive and technically incisive feedback. Several of your points were not only valid but essential, and they have led to a significant refinement of the CCD framework.

The key conceptual update—prompted directly by your critique concerning charge conservation and thermodynamics—is a sharpening of the cyclic mechanism:

Matter creation is now explicitly treated as a reversible process—dominant during expansion and reversed during contraction.

Expansion phase:

Vacuum potential is converted into neutral baryons (neutrons, not protons any longer) via spontaneous nucleation.

Subsequent beta-decay then produces hydrogen while preserving charge and lepton number.

The resulting negative vacuum pressure drives cosmic expansion.

Contraction phase:

The coupling reverses as the sign of the Hubble parameter changes (dot(a) < 0).

Baryons are progressively annihilated or "dissolved" back into vacuum geometry.

The vacuum potential is recharged (restoring high Phi).

The entropy accumulated during expansion is eliminated (thermodynamic reset).

This directly resolves a major cosmological issue:

The entropy problem is solved because matter is returned to the vacuum during contraction; entropy does not accumulate across cycles. The slate is effectively wiped clean at each bounce.

This confirms that CCD is a cyclic matter-geometry exchange system, distinct from Steady State:

Vacuum <-> Matter

with the sign of the process determined by the cosmic phase.
The directionality emerges naturally from the state of the universe, analogous to how water freezes during cooling and melts during heating, despite the underlying H2O being time-symmetric.

Below is the consolidated Q/A response to your specific technical questions.

Q/A SECTION
Q1 — "How can you create protons without violating charge conservation?"

A1 — The mechanism no longer creates bare protons.

You correctly identified the charge-conservation problem. The creation mechanism now begins with neutrons, not protons.

Updated mechanism:

Vacuum tension -> neutron (neutral; preserves global charge conservation)

Neutron -> proton + electron + anti-neutrino via Standard Model beta-decay

This explicitly incorporates the Weak Interaction into CCD and preserves both charge and lepton number.

Q2 — "Is this not just Hoyle's Steady State model?"

A2 — No. The resemblance is superficial:

Although CCD shares the concept of continuous creation, it is fundamentally different because CCD is cyclic and evolutionary, not static.

Crucial distinction:
In CCD:

Creation dominates during expansion

Annihilation dominates during contraction

Thus CCD is a harmonic oscillator cosmology:

Expansion: vacuum -> matter
Turnover: potentials flatten, creation shuts off
Contraction: matter -> vacuum

As a result:

Vacuum energy is restored for the next cycle

Entropy does not accumulate

The model avoids Steady State’s contradictions

CCD circumvents every classical Steady State failure:

CMB inconsistency (CMB arises from the bounce/transition)

Entropy accumulation

Past-eternity paradox

Lack of a mechanism to recharge gravitational potentials

Q3 — "How do you handle the energy bookkeeping? Is this zero-sum?"

A3 — CCD explicitly adopts a Tryon-style zero-sum energy balance.

Matter creation deepens gravitational potential wells; the negative energy of the gravitational field balances the positive baryonic energy. The total Hamiltonian of the universe remains conserved.

In CCD:

The energy source is vacuum potential (geometric stress)

Matter creation reduces vacuum potential

Gravity deepens correspondingly

Flattening of Phi removes the driving force for additional creation

Thus the process is inherently self-limiting and cannot run away.

Q4 — "Why create baryons at all? Are baryons being destroyed somewhere?"

A4 — Yes: baryonic annihilation occurs during contraction.

CCD assumes a conservation law over the full cosmic cycle, not merely the current epoch.

Expansion phase -> net baryon creation ("exhale")
Contraction phase -> net baryon annihilation ("inhale")

This restores:

Vacuum potential

Energy symmetry

Low-entropy initial conditions

A consistent long-term baryon budget across cycles

Q5 — "Why would creation occur in deep gravitational wells instead of empty space?"

A5 — Because creation is driven by vacuum tension, not by low density.

Although one might picture "boiling matter out of empty space," the updated CCD coupling depends on:

High vacuum curvature / potential tension,
the gravitational analogue of electromagnetic stress-energy in Schwinger pair production.

Creation is strongest:

in galactic centers

in regions of extreme curvature gradient (grad Phi)

in the high-stress region just outside event horizons (AGN zones)

This aligns with:

QFT in curved spacetime

Hawking-like pair processes

Tryon’s gravitational-vacuum accounting

The heterogeneity of the observed Universe

Matter creation tracks curvature stress, not emptiness.

Q6 — "Should black holes not trap everything? How can baryons escape?"

A6 — Creation occurs outside the event horizon.

CCD does not require anything to escape from within a black hole.

Matter forms in:

the high-curvature region just outside the horizon

where escape is possible

and where AGN jets originate

This naturally explains proton-rich jets without violating the event horizon boundaries.

Q7 — "What prevents runaway positive feedback?"

A7 — Negative feedback is built into the geometry.

Mechanism:

Deep well -> increased creation

New baryons -> potential well fills -> gradient flattens

Lower gradient -> creation rate drops

A simple representation:

dM/dt ~ |grad Phi| * (1 - M/M_max)

where M_max is set by the available vacuum energy in the causal region.

Saturation prevents runaway. No fine-tuning or free parameters are required.

Q8 — "How can CCD be tested? Doesn't the GM degeneracy hide everything?"

A8 — CCD predicts a measurable decoupling of lensing mass and dynamical mass.

Mainstream astronomy attributes anomalies to unseen mass (M). But CCD predicts:

Lensing (geometry) depends on G (vacuum pressure)

Rotation (dynamics) depends on GM

In low-acceleration regimes, these do not scale together if CCD is correct.

Testable prediction:

M_lensing != M_rotation

in specific low-acceleration environments.

This yields a falsifiable prediction distinct from particle dark matter—analogous to MOND-like phenomenology, but grounded in a physical vacuum-curvature mechanism rather than curve-fitting.

Summary

Matter creation/annihilation is reversible and cyclic.

Entropy is removed each cycle via matter -> vacuum conversion.

Standard Model conservation laws are respected (via neutron-first creation).

CCD is a cyclic geometry-matter oscillator, not a Steady State model.

Energy accounting follows a Tryon-style zero-sum balance.

The region outside black hole horizons acts as a natural nucleation zone.

Negative feedback prevents runaway creation via potential saturation.

The key observational test is lensing vs rotation mass decoupling.

This reversible process is analogous to Hawking radiation operating at cosmological scale, favoring matter creation during expansion and matter annihilation during contraction due to the changing sign of the Hubble parameter (dot(H)).

[ExpEarth]

It's a little hard to digest your points, written in the style they are in, but I find there is still not a real 'hook' to make me want to study your model in detail. You assert that baryons are being created and destroyed, but what evidence do we have for either process? We do know that mass is lost in solar fusion (converted to radiation) and so, in a static model, that mass has to be regenerated somewhere. As I mentioned, BHs are the likely location for this. But whole baryons? If we were to imagine a 'starting point' for the universe, could it not have both baryons and light? My general preference would be that the mass of the universe and its baryon number is more or less constant over time. Can you give me a reason to think otherwise?

[Francois-Zinserling]

@logihouse I am still not convinced that your matter creation around BH will not lead to a runaway.

• Your model proposes that the presence of matter creates the potential to create more matter. By your own words - positive feedback. With an infinite supply of vacuum energy, how does this self-correct?
• You also say your model does not propose matter created 'out in empty space'. How does this engine kickstart itself then before any matter exists?

[logihouse]

Dear ExpEarth,
Thank you for taking the time to dig in and for the sharp questions – they help me see where I need to be clearer.
Baryon creation today
You’re right: we don’t see neutons popping up in labs. In CCD the present-day rate is tiny – about one neuton per cubic kilometre per year – so direct detection is hopeless. The evidence is the collection of cosmic tensions ΛCDM has to fine-tune away: the JWST galaxies that grew too fast, the lithium-7 deficit, and the H₀ mismatch. All three relax naturally if the gravitational coupling G slowly increases as structure forms.
Constant baryon number?
I used to like that idea too, but cosmology already breaks it once (matter–antimatter asymmetry). CCD just keeps the books open: every new proton is paid for by the gravitational energy reservoir – the cosmic potential well gets infinitesimally deeper, so total energy stays fixed. G becomes the valve that lets the universe convert depth into particles.
Run-away / self-correction
The feedback is positive at the start (deeper well → more matter) but negative at the end: deeper well → slower local expansion → less vacuum energy release → creation rate saturates. Black holes are the extreme example – they can feed the cycle forever yet their own mass dominates by orders of magnitude, so the hole itself never balloons. And since E=MC^2, the mass gained is tiny compared to a BH.
A hook you can test
CCD predicts that the measured “constant” G should grow with the depth of the local potential:
Milky Way laboratory value: G
Cluster core: ≈ 5 % larger
Cosmic voids: back to baseline G
Lensing-mass vs. gas-mass in clusters or precision Cavendish-type experiments inside deep potentials could spot this – and that would be direct evidence.

[logihouse]

And an answer to Francois:

Self-correction
The positive feedback is finite: every new gram is bought with a drop in the global potential, so the deeper the well becomes, the less vacuum energy is left to tap. Expansion also slows locally, cutting the tap further. Result: exponential start, then automatic saturation – no run-away.
Kick-start
Empty flat space is quantum-unstable: any nano-fluctuation already makes a minuscule over-density. That speck has a slightly deeper Φ → releases energy → makes a few protons → Φ deepens → loop begins. No special initial matter required; the first “spark” is built into quantum noise.
BH safety-valve
Even right next to a BH the mass produced is < 10⁻⁹ M☉ per Hubble time – utterly negligible beside the hole. The BH acts as a catalyst, not a victim; it feeds the cycle forever without growing noticeably itself.
So: built-in brake on the supply side, built-in spark from quantum fuzz, and a BH that never balloons – that’s how the engine starts and stays stable.