Universal Motion Theory

[marcin]

So if you imagine 𝔄 acting on something—like a field or a direction—it gives back a kind of curvature result, but one that’s been shaped or weighted by how much activation Φ(ρ) is present.

What field? "Kind of curvature result" - everything you write is "kind of" quasi-semi-meta physical.

What’s organized by the logistic activation function Φ(ρ) is what I call the Domain of Experience—the region of spacetime where recursive motion becomes coherent enough to support structure, fields, and the emergence of time itself.

Why are you calling it experience? Do elementary particles experience their motion?

 

[Astraeus]

u^mu in UMT

Within activated curvature regions (where Phi(rho) > 0), UMT defines a recursive motion field u^mu that governs bounded internal motion. Its dynamics follow:

∇_nu ( Phi(rho) ∇^nu u^mu ) = 0

This equation describes how recursive motion propagates through curvature-activated space. From u^mu, we define an antisymmetric tensor:

F~_mu_nu = ∇_mu u_nu - ∇_nu u_mu

This emergent field behaves like a Maxwell field in fully activated regions (Phi → 1), but no gauge field is introduced. Electromagnetic-like behavior arises directly from spacetime recursion, not as a fundamental force.

Electromagnetic structure is not fundamental, but the first harmonic of recursive activation.

 

[marcin]

So you've got something that resembles continuity equation and something that actually is the anitisymmetric tensor.

Your motion is a propagating disturbance of your motion field. Your motion is motion. Congratulations. It's perfectly recursive - as you said, but semantically.

Why is this motion internal and why is it bounded?

 

[Astraeus]

Universal Motion Theory: UMT - Frequently Asked Questions

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Q1: If time emerges from motion, how does UMT explain classical orbital mechanics?

Orbital mechanics within UMT are recovered in the high-activation limit where Φ(ρ) → 1, which corresponds to fully time-permissive regions. In such regions—such as around planetary systems or within low-curvature solar environments—motion is continuous and bounded, enabling classical Newtonian dynamics and general relativistic corrections to hold as expected. Time, though emergent, is indistinguishable from traditional coordinate time in these regimes.

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Q2: Is the activation function Φ(ρ) arbitrarily chosen?

No. The logistic form was selected for its ability to mimic thermodynamic phase transitions, preserve differentiability, and provide a falsifiable curvature threshold. The function introduces a sharp but continuous activation zone around ρc, which allows the theory to converge to GR in high-Φ regions and reduce to stillness in low-Φ regimes. Parameters α and ρc are empirically constrained.

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Q3: How does UMT differ fundamentally from standard General Relativity(GR)?

UMT modifies the gravitational action by introducing a curvature-dependent activation function Φ(ρ) that gates the emergence of recursive structure. In contrast to general relativity, where the metric supports motion uniformly across spacetime, UMT maintains that motion is always present but unstructured below a critical curvature threshold. Only in regions where ρ > ρc does recursive motion stabilize, allowing identity, time, and field behavior to emerge. This distinction results in qualitatively different behavior in the interior structure of black holes, during early-universe decoherence, and in the evolution of cosmic voids.

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Q4: How does UMT avoid singularities or infinities?

By introducing Φ(ρ) as abounded logistic function and embedding all dynamic behavior within the domain of permissible curvature, UMT replaces unphysical singularities (e.g., infinite densities, unbounded
accelerations) with threshold-triggered phase behaviors. The Kretschmann scalar is used to represent curvature magnitude in a coordinate-independent way, avoiding cases where Ricci based approaches fail to reflect true geometry.

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Q5: Is UMT compatible with conservation laws?

Yes. The modified field equations preserve the covariant divergence-free condition of the energy-momentum tensor. The action remains variationally derived, and all matter dynamics conserve momentum-energy within motion-permissive zones. Additional terms vanish in fully activated regimes, reducing to standard GR.

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Q6: How can UMT be falsified?

UMT makes several predictions that diverge from ΛCDM and classical GR:

• The presence of gravitational wave echoes with delay times determined by activation lag
• Suppression of low-ℓ CMB modes due to pre-recombination curvature thresholds
• Void lensing profiles with steeper fall-offs than expected from dark energy models
• Activation-collapse FRB signatures with sub-millisecond precursor phases

Future non-detection of these signatures within constrained bounds would challenge or falsify UMT in its current form.

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Q7: Does UMT require separate field equations for electromagnetism or quantum behavior?

No. Both electromagnetic and quantum-like phenomena arise within
UMT as emergent behaviors of recursive motion under curvature activation. The antisymmetric field tensor ˜ Fμν and its associated energy-momentum tensor T(F)μν are derived directly from motion gradients and activation constraints. No external quantization procedure or dual symmetry structure is introduced.

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Q8: Is UMT a unification theory in the traditional sense?

Not in the conventional particle-theoretic sense. UMT does not begin with a Lagrangian containing multiple interacting fields. Instead, it proposes that all force behaviors—including gravitational and electromagnetic—emerge from a single underlying principle: bounded motion under curvature activation. This geometric unification avoids dual fields, gauge groups, and point-particle assumptions.

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Q9: How does UMT treat quantum uncertainty?

UMT introduces a geometric uncertainty principle: Δx ·Δuμ ≳ Φ−1(ρ). This reflects a natural tradeoff between localization and recursive motion coherence in activated domains. Unlike traditional quantum mechanics, UMT does not invoke operator-based formulations or Hilbert space structure, but still recovers uncertainty-like behavior from first principles.

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Q10: Does UMT reproduce known physics in established regimes?

Yes. In the high-activation limit (Φ(ρ) → 1), UMT reduces to general relativity for gravitation and produces Maxwell-like field behavior for ˜ Fμν. The theory remains compatible with standard physics in well-tested domains while offering new structure in low-activation or recursive collapse regimes.

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Q11: What experimental signatures distinguish UMT from other theories?

UMT predicts gravitational wave echoes with non-random delay structure, curvature-driven weak lensing at void boundaries, and specific localization-timing correlations in fast radio bursts. Additionally, the structure of ˜ Fμν may influence electromagnetic propagation under strong activation gradients—offering a possible observational distinction from standard electrodynamics.

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Q12: How does UMT treat the origin or initial state of the universe?

UMT does not require a singular origin or ’Big Bang’ in the traditional sense. Instead, the early universe is modeled as a high-curvature, low-motion regime in which activation gradients support closure of recursive paths. The transition to dynamic structure formation arises from saturation of the activation function Φ(ρ), not from a singular point of infinite density. Causal structure becomes meaningful only once recursive motion stabilizes, linking the emergence of time and identity to geometric activation rather than absolute temporal origin.

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[Astraeus]

Universal Motion Theory now rests on three core axioms.
These are not philosophical flourishes—they guide the entire UMT framework.

1. Motion is fundamental
2. Contrast is the first condition of structure
3. Motion admits no infinities and no terminal states

Axiom #2 is especially important.
It’s the only axiom explicitly supported by a formal theorem. That theorem demonstrates a simple but profound result:

Once contrast arises—once motion becomes distinguishable—structure is inevitable.

This is the hinge point for everything else. Without needing time, fields, or forces, relational structure emerges the moment there is difference. The rest of UMT—curvature activation, emergent time, gravitational behavior—builds from this inevitability.

 

[Astraeus]

This thread contains some early thinking—ideas that didn’t ultimately align with the structure of UMT. But that, too, is part of the journey. Since those first steps, I’ve worked to refine UMT into something testable. From that effort, an applied framework emerged: Harmonic Fusion (HF). Where UMT builds the foundation, HF tries to touch it.

UMT: https://doi.org/10.20944/preprints202505.0107.v4

HF: https://doi.org/10.20944/preprints202505.1820.v3

Both papers are dense, but they don’t pretend to know everything. They ask to be tested—not accepted. If you’re the type to challenge ideas, not by source, but by coherence, then I hope this catches your interest.

This is motion first—traced carefully, argued with respect, and offered for scrutiny.

 

[Catastrophe]

Artificial intelligence could have very dangerous consequences. Mankind is capable of misusing anything for its own benefit. Just imagine social media programmed into using AI to "brainwash" humanity into controllable avenues. Maybe the stuff of horror fiction - but take care in the long run!

Cat

Existential risk from artificial intelligence - Wikipedia

en.wikipedia.org

Let us not assume that AI is a wonderful new "gift from above" to be followed blindly towards "infinite benefit".

Just to remind you of post #1:

Below is a conversation with an AI. I have been thinking about these concepts for quite some time, but AI offered an opportunity to flesh out these ideas like I hadn't expected.

Cat

 

[Catastrophe]

In this connection one should particularly remember that the human language permits the construction of sentences which do not involve any consequences and which therefore have no content at all—in spite of the fact that these sentences produce some kind of picture in our imagination; e.g., the statement that besides our world there exists another world, with which any connection is impossible in principle, does not lead to any experimental consequence, but does produce a kind of picture in the mind.
Obviously such a statement can neither be proved nor disproved. One should be especially careful in using the words “reality,” “actually,” etc., since these words very often lead to statements of the type just mentioned

(215) W. HEISENBERG

 

[Astraeus]

Existential risk from artificial intelligence - Wikipedia

en.wikipedia.org

Let us not assume that AI is a wonderful new "gift from above" to be followed blindly towards "infinite benefit".

Just to remind you of post #1:



Cat

It would be impossible for me to forget how instrumental AI has been in the development of Universal Motion Theory (UMT). Just as impossible, though, is forgetting the limitations I’ve encountered along the way. I understand the concern—AI makes it deceptively easy to generate complex claims. Without rigorous constraint, it can produce convincing nonsense. That’s exactly why I never let it think unsupervised.

UMT emerged through a process of persistent questioning—each answer leading to new, sharper questions. Most answers were factual, but some required reasoning within deliberately constrained conditions. I spent significant time crafting prompts that forced specificity and conceptual discipline. One of the most important constraints was: “Must not contradict known observational data.” Even that, as you might imagine, leaves room for wide interpretation. The refinement of UMT has often been the careful isolation of viable responses within the tightest, most accurate constraint sets available. UMT is not a declaration of truth—it is a hypothesis grounded in logic, built from everything we currently know. I don’t want it to be accepted. I want it to be tested. The central question for UMT becomes: Does it hold up under empirical scrutiny?

Early on, I treated ChatGPT like a collaborator. That methodology failed. ChatGPT doesn’t recognize errors the way a human might. It can’t anticipate dead ends or signal caution unless such outcomes are explicitly stated in advance. I would often think, “I wish you had told me that sooner,” only to realize—ChatGPT had no way to know. It lacks contextual foresight. What we expect from a thoughtful human partner simply doesn’t translate. This is a structural limitation that demands human judgement.

AI is a tool. Some use it well; some don’t. Unfortunately, AI’s nature often conceals how it was used, and human bias can easily compromise its effectiveness.

My purpose in this reply is to explain how I’ve used AI in developing UMT—and how I continue to refine that usage. Nothing I generate is meant to bypass human scrutiny. Quite the opposite: everything I generate is built to withstand scrutiny—or to be discarded if it doesn’t.

 

[Catastrophe]

Astraeus, I believe that you mean well, and you are obviously greatly taken up with your subject. However, I have not changed my attitude one jot, as I believe that anything based on a first (mathematical) differential, dl/dt, can hardly be more fundamental than its described components, length and time. Length and time are clearly more fundamental than their first differential.

For that (good, imho) reason, I have not judged it worthwhile to read the reams you have produced. Of course, we are all different, but, had I been in your position, I think that I would have introduced the subject in a more conversational way, and not churned out page after page of what, I suspect, not just by myself, might have been considered as suspect material based on a less than solid foundation. But, that is just my personal view.

I am interested in peoples' motivations for their beliefs - I would phrase it as their need to believe such and such. In this case, I wonder why you have latched on to a first differential?
It seems so strange to me, to consider motion more fundamental than its component parts. Not to mention the added component of direction.

Not much more I can add.

Cat

 

[Astraeus]

Astraeus, I believe that you mean well, and you are obviously greatly taken up with your subject. However, I have not changed my attitude one jot, as I believe that anything based on a first (mathematical) differential, dl/dt, can hardly be more fundamental than its described components, length and time. Length and time are clearly more fundamental than their first differential.

For that (good, imho) reason, I have not judged it worthwhile to read the reams you have produced. Of course, we are all different, but, had I been in your position, I think that I would have introduced the subject in a more conversational way, and not churned out page after page of what, I suspect, not just by myself, might have been considered as suspect material based on a less than solid foundation. But, that is just my personal view.

I am interested in peoples' motivations for their beliefs - I would phrase it as their need to believe such and such. In this case, I wonder why you have latched on to a first differential?
It seems so strange to me, to consider motion more fundamental than its component parts. Not to mention the added component of direction.

Not much more I can add.

Cat

Thank you for the thoughtful reply — this kind of foundational challenge is exactly what I was hoping for.

I believe there’s a conceptual mismatch here worth clarifying. You mentioned that anything based on a first differential like dl/dt must be derivative of its components, and therefore cannot be more fundamental than length and time. That’s absolutely true — if the theory in question were relying on classical differentials. But that’s not what UMT does.

UMT does not define motion as dl/dt or any conventional derivative. That framing assumes time and length exist independently and are being related by rate-of-change. UMT starts with a different premise entirely: that motion itself — as the presence of bounded, recursive contrast — is the only primitive. From contrast in motion, dimensions like length and time are not assumed — they are defined. And from structured motion, identity emerges. In this view, motion is not derived from space and time — it gives rise to them.

This is a reversal of the classical ontology, not an abuse of its mathematics. So I understand why the idea feels unconvincing at first glance — it really is proposing a different ordering of fundamentals.

Your point about presentation is fair. The material I’ve developed was written with formal testability and coherence in mind, not ease of entry. That can make it harder to engage conversationally, and I understand that barrier.

And on your final point — I agree that motivation matters. In my case, this isn’t about belief. It’s not that I need motion to be primary — it’s that I couldn’t conceptually reconcile standard theoretical explanations without putting motion first. UMT is, at its core, an exploration of that premise: What if motion is first? I’m not asking anyone to accept it — I’m asking: what happens when we treat it that way? If the model fails under scrutiny, then it fails. But if it yields a coherent, falsifiable account of identity and interaction, then it deserves to be taken seriously.

I think it’s important to point out that our standard models don’t actually function without accepting infinities and singularities. These are, by definition, places where our mathematics breaks — and yet we continue to build on top of them, introducing constructs like dark matter and dark energy to patch over deeper structural inconsistencies.

UMT rejects infinity in any form. That rejection isn’t arbitrary and it necessitates placing motion first. Without invoking infinities, motion becomes a foundational starting point from which space, time, and identity can consistently emerge.

Thanks again for raising the challenge. It's conversations like this that help sharpen the work.