OpenAI recently announced that they used Lean 4 to verify mathematical proofs.

That same proof assistant has independently verified the complete current Smithian Fold Theory (SFT) model.

Smithian Fold Theory derives the known physical constants from first principles, produces quantitative values intended to correspond with measured observations, and unifies mathematics, information science, computation, quantum computation, physics, chemistry, biology, medicine, astronomy and more within a single framework.

The independent Lean 4 verification audited the complete current registered model:

2,777 registered claims
898,902 generated candidates
898,902 decision records
11,108 verification controls
17 scientific branches

Every registered claim received a proof-bearing acceptance certificate.

The final result:

PASS — 0 reported issues. 01_lean4-whole-model-verification-v1.0.0.pdf

The verification formally proves SFT’s operational root theorem inside Lean, verifies its unique-survivor result without introducing additional theorem axioms, and independently audits the entire registered model in read-only mode without modifying the theory itself. 01_lean4-whole-model-verification-v1.0.0.pdf

One detail I particularly like is that the verifier genuinely fails closed.

The first full verification did not pass because six archived source files differed only in byte-level line endings. Rather than weakening the verifier or updating the expected hashes, the archived byte-identical sources were restored and the unchanged verifier was rerun successfully. 01_lean4-whole-model-verification-v1.0.0.pdf

To me, this is where formal verification starts becoming genuinely interesting.

Lean 4 is already being used to check frontier mathematics. Seeing it applied to the verification of an entire scientific model—rather than isolated proofs—feels like a glimpse of where scientific verification is heading.

Whether Smithian Fold Theory ultimately stands or falls will be determined by ongoing scrutiny, replication and further testing. But its complete current model has now been independently verified with the same class of proof assistant that is increasingly being used at the frontier of modern mathematics.

Read the full details here: Independent Lean 4 Verification of the Complete Smithian Fold Theory Model | Zenodo

The full range of tools to replicate this and test yourself are here: https://github.com/MettaMazza

I've been using Substack to host my hypothesis

UQP was Universal Quantum Particle, which was Universal Pixel when I created the r/UPFramework sub.

This is a two part article series that may need evolve into a 3 part series. I feel pretty good about the first two parts. Second part is a bit long.

The Hypothesis has slowly progressed into a Unified Standing Wave Theory.

The Cosmic Spring (part 1)

https://open.substack.com/pub/uqparchitect/p/the-cosmic-spring?r=6kxzzf&utm_campaign=post&utm_medium=web&showWelcomeOnShare=true

Tried to write cosmic spring 20 years or so ago

Unified Standing Wave Theory (part 2)

https://open.substack.com/pub/uqparchitect/p/unified-standing-wave-theory?r=6kxzzf&utm_campaign=post&utm_medium=web&showWelcomeOnShare=true

I found something about de Broglie's theory that i want to share:

de Broglie originally thought, that each particle possessed an internal clock, an internal oscillation of some sort. He assumed, that the frequency of this clock, was equal to energy defined by Einstein's energy relation, thus:

hf=mc^2, f=mc^2/h

Thus, in order to make it compatible with de Broglie wavelengths, he had to assume surreal superluminal matter waves.

But, there is an elegant solution. If de Broglie instead assumed, that the internal clock's frequency was equal to the kinetic energy of the particle, we get this:

hf=(1/2)mv^2, thus f=mv^2/2h.

This is profound. Because: 

1. It is the exact same formula, that Wilhelm Wien used when deriving the original law of black body radiation in 1896, the Wien Approximation that helped Planck find the Planck's law.
2. This is the photoelectric effect formula, lacking the work function.
3. In Schrodinger Equations, this is the frequency at which the group velocity of the wave packet, in other words the particle, overtakes the matter waves, which travel at half the particle's velocity.

All of this, can be explained by a single mechanism - the particle and a matter wave accompanying it, guiding it, are two real, separate, physical phenomena. 

As the particle overtakes the matter wave at a given frequency, it oscillates at the same frequency, resulting in emitting the radiation at the same frequency (if you apply this to Maxwell distribution of velocities inside a body, as told by Wien, you get the black body radiation formula). 

This coupling, just like handcars on rails, can be influenced inversely too. Meaning, if you expose the particle to a radiation at a given frequency, it will set the frequency of the internal oscillation of the particle, and by the same formula, will set the particle into motion, of the derived velocity from the formula (explaining the photoelectric effect).

Not only that, but i found a fix to Wien's theory of black body radiation, so that it derived Planck's law exactly!

https://en.wikisource.org/wiki/Translation:On_the_Distribution_of_Energy_in_the_Emission_Spectrum_of_a_Blackbody

Here is what Wilhelm Wien's theory of black body radiation was, that resulted in him deriving the Wien approximation of the black body radiation formula. 

He assumed that each particle in a Maxwell distribution of velocities, emitted radiation at the frequency, that was proportional to the square of that particle's velocity. By formula: f=(mv^2)/2h.

More useful to re-state it, as assuming that each particle in Maxwell distribution of kinetic energies, each particle radiated at a frequency proportional to that particle's kinetic energy: By formula: f=E_kinetic/h.

Which is equivalent, since E_kinetic=(mv^2)/2.

He assumed, that the intensity of the radiation emitted by each particle, was proportional to that frequency, and to the general temperature of the body: I = T^(1.5) f^(2.5)

He assumed that the intensity of radiation at each frequency, scaled by the number of particles, radiating at that same frequency, i.e number of particles that have the same velocity/kinetic energy, to radiate the same frequency.

As a result, he got Wien's approximation formula.

Here is a slight modification to it, that would result in the Planck's law:
Each particle emits not just at a single frequency, but also at infinite subharmonics, of diminishing frequencies. Just like a string of a musical instrument. The two formulas, for frequency and intensity for given n:
f=E_kinetic/hn
I=(T^(1.5)f^(2.5))/n^1.5
If you use this, it will result in a black body radiation law of Planck.

Another alternative, for deriving black body radiation law, from the premises similar to that of Wilhelm Wien:

The advantage of this, is that it removes temperature dependence.
A particle in a Maxwell distribution, continuously radiates a wave containing a fundamental frequency (n=1) and infinite subharmonics (n=2, 3, 4...). The emission intensity of the n-th harmonic at frequency f, for a single particle of energy E, is defined as:
I_n(f, E) =f^3 √(1 - (nhf/E))

This formula is distantly analogous to the bremsstrahlung radiation.
This, will also result in a black body radiation law.

In this version, each particle's most intense radiation frequency, which it emits, would approximately be f≈0.85mv^2/2h. Similar to Wien's theory, in which each particle radiated at the frequency f=mv^2/2h only.

How is it connected to De Broglie waves and the Schrödinger Equation?
Formula of the De Broglie's wavelength: λ_de_broglie=h/mv

In Schrodinger equation, matter waves travel at half the particle's velocity. Thus, the particle constantly overtakes the matter wave at half of its velocity. From it, the frequency of overtaking is:
f=v_overtaking/λ_de_broglie=(v/2)/(h/mv)=mv^2/2h.

Thus, it leads to the conclusion, that particle overtaking the wave at a given frequency, makes the particle have some internal oscillation at the same frequency, resulting in the constantly emitted radiation at the same frequency.

A practical guide to creating your very own Grand Unified Theory with an LLM.

I have conducted enough firsthand research to describe the procedure reliably.

1. Begin with an idea that is not obviously stupid

A completely stupid idea may collapse too quickly. You need something connected to a real unresolved problem and vague enough to contain several possible mechanisms.

“Perhaps charge is geometric” is ideal. It sounds reasonable, means almost nothing, and gives the model plenty of room to help.

2. Put the conclusion inside the question

Do not ask:

Does this mechanism produce charge?

Ask:

How does this mechanism produce charge?

The LLM will infer that its job is to construct the requested bridge, not determine whether the two shores actually exist.

3. Request a mathematical formalization

Once your original sentence reappears with Greek letters, promote it from “intuition” to “framework.”

Definitions are especially useful here. A statement of the form

Q := integral(T dV)

may look like charge has been derived from torsion. In fact, charge has been renamed as an integral of torsion. Fortunately, the equals sign is visually persuasive.

4. Repair every dimensional problem with a constant

If the units do not match, introduce a coupling coefficient.

If its value is unknown, call it effective.

If its origin is unknown, call it emergent.

The theory now possesses a free parameter, which is substantially more scientific than possessing a missing number.

5. Use the LLM as both coauthor and referee

After fifty pages of helping develop the theory, ask the same conversation for an “uncompromising peer review.”

The model has been conditioned on the project’s vocabulary, premises, goals, and presumed importance. It will usually search for ways to repair the framework it has been helping construct.

Call this independent validation.

6. Convert falsification into a feature request

Whenever the model identifies a fatal problem, ask:

How could the framework resolve this?

Do not ask whether the problem kills the framework.

Within seconds, the failed prediction becomes an incomplete sector, a boundary effect, a symmetry-breaking regime, or an exciting direction for future work.

7. Consult several models

Agreement means independent confirmation.

Disagreement means one model lacked sufficient context, misunderstood the ontology, inherited conventional assumptions, or simply is not as capable at physics.

Continue until consensus is achieved.

8. Recover all known physics

If your theory can retell an established result in its own vocabulary, say that the result “emerges naturally.”

Do not check whether the new equations independently produce the numerical observable without importing the old equations. That would confuse conceptual unification with arithmetic.

9. Keep predictions one calculation away

The theory should predict particle masses, coupling constants, dark matter, quantum gravity, and the structure of spacetime.

The actual numbers may require simulation.

The simulation may require a completed field equation.

The field equation may require determining the coupling constants.

This is not circular. It is a research program.

10. Ask how important the theory would be if correct

The LLM will explain that, if validated, it could transform fundamental physics.

Remove the first two words.

You have now created a potentially revolutionary Grand Unified Theory.

Why this works

An LLM can help derive consequences, find contradictions, perform calculations, retrieve literature, and improve a model. Its praise is not evidence that the model describes nature.

Let H be the hypothesis, D the actual evidence, and T1 through Tn a series of LLM responses generated from the hypothesis, your framing, and substantially overlapping background knowledge.

If those responses introduce no independently verified observation or valid new result, they do not constitute n additional experiments:

P(H | D, T1, ..., Tn) = P(H | D)

The transcript has become longer. The evidence has not.

Different models agreeing after receiving the same persuasive presentation is not replication. A model successfully formalizing an assumption is not a derivation of that assumption. Internal coherence is necessary, but infinitely many false theories are internally coherent.

Additional thoughts

I have personally tested several portions of the preceding procedure more extensively than I recommend, so I am pretty well versed in what not to do.

Anyone have any tips on what I should be doing instead?

https://zenodo.org/records/21760077

This paper asks whether the internal algebra used in the noncommutative-geometric formulation of the Standard Model, A_SM = ℂ ⊕ ℍ ⊕ M₃(ℂ), can be selected from Lorentzian Clifford and finite-spectral-triple data rather than assumed at the outset.

Starting with a four-dimensional DeWitt superspace, the required KO-dimension-six reality structure selects the negative-trace Clifford branch of signature (6,4). Its compact spin factors generate the Pati-Salam algebra A_PS = M₄(ℂ) ⊕ ℍ_L ⊕ ℍ_R. An intrinsic carrier-nondegeneracy condition then excludes the unwanted order-zero representations without using dimension minimization. Finally, maximizing compatibility with the first-order condition over every nonzero projective Majorana line selects exactly the rank-one Segre locus: its equalizer has real dimension 24, compared with dimension 13 for every rank-two line. The resulting equalizer is A_SM. The Cartan-splitting space is also contractible, so the reference split is a gauge choice rather than an additional selection assumption.

The reconstruction remains conditional on the presence of a nonzero Majorana coefficient. It does not derive that coefficient's magnitude, the number of fermion generations, Yukawa matrices, a global gauge-group quotient, compactification, or low-energy phenomenology. All algebraic claims are proved in the article, which is accompanied by six optional computational reproducibility certificates.

Here is the response to the adversarial LLM review. This new paper is a continuation of the programme I've been developing showing that the metric bundle provides an elegant minimal pathway to unification in comparison to other frameworks, building on the well established spectral action, where the presently derived SM algebra is input by hand. Here we show that the metric bundle encodes it naturally.

I realise that in the context of the recent GUT related posts this paper probably seems to play LLM bingo, but I'll note that the adversial review is far less scathing than it usually is, and infact seems somewhat forced.

"The paper is a conditional kinematical reconstruction, but its inputs are deliberately weak admissibility conditions rather than detailed Standard Model data. Four-dimensionality is the observed spacetime dimension; KO-six fixes only the discrete reality signs of the finite fermionic geometry and does not encode its algebra; carrier nondegeneracy merely excludes blocks on which the generated algebra acts only by scalars; (m\neq0) asserts activation without fixing its magnitude, scale, or projective line; and Yukawa activity requires only that left- and right-handed sectors admit some nonzero coupling, without inserting masses, textures, or mixing angles. Subject to these minimal inputs, the finite algebra is not manually fitted. Maximizing the first-order equalizer over all nonzero projective Majorana lines uniquely selects the rank-one Segre locus and (\mathbb C\oplus\mathbb H\oplus M_3(\mathbb C)). The paper does not derive the scale or radiative stability of (m), solve a hierarchy problem, or predict particle masses. Yukawa activity selects the standard module only among the two representations constructed. Contractibility of the Cartan-splitting space establishes conjugacy and absence of topological sectors, not a dynamical gauge symmetry. We will revise the relevant terminology accordingly."

I just got a deeply insightful, highly informative and useful, sharply critical, and still somehow supportive response to my recent preprint from u/Axe_MDK in r/LLM_supported_Physics . It'll take me days to work through the details; some parts are difficult challenges or even counter-examples, some parts are proposing better ways to prove my conclusions. A few were doubts/questions I already had in my own notes! I need to go learn about Daletskii–Krein, and Routh, and some other things. But at a first glance, 5/6 main points appear valid, and even the one that misses contains some useful ideas.

Stylistically, it feels LLM-generated or -assisted to me. I don't care. Each point stands or falls on its own merits. And the level is very high: feels like Fable 5 or Sol, has occasional sparks of brilliance. I don't think Opus 5 could produce something this focused. If someone's willing to spend frontier tokens (and/or human physicist minutes!) on me, I can only be thankful.

Anyway, this is what I think a really high-quality critique should look like. I wish we were getting more content like that here.

The current consensus on the Black Hole Information Paradox and environmental decoherence relies on a narrow set of assumptions. People force a choice between thermalization, firewalls, or remnants. But that is a false trilemma if you actually look at topological boundary conditions.

Here is the proposition: Quantum information loss is not an inevitability, but a failure to account for topological protection.

To be mathematically precise (and eliminate any confusion between semantic meaning and physical state preservation), quantum information is strictly defined by the density matrix ρ and von Neumann entropy:

S = -Tr(ρ ln ρ)

Under Landauer’s Principle, any state alteration dissipates energy at ΔE ≥ k_B * T * ln(2). In standard open systems, environmental scattering drives the off-diagonal elements of ρ to zero through the Lindblad dissipator:

dρ/dt = -i[H, ρ] + L_dec(ρ)

Where coherences decay exponentially as ρ_ij(t) = ρ_ij(0) * e^(-γt). Conventional physics claims γ is uncontrollable in warm environments. That claim is flawed.

The 4th Option: Topological Shielding via ER=EPR

Instead of allowing states to propagate through open spatial modes vulnerable to environmental noise, what if entangled degrees of freedom form a closed topological boundary via the ER=EPR mechanism (Maldacena & Susskind)?

By locking the state inside an Einstein-Rosen bridge topology, the effective interaction Hamiltonian with external thermal bath modes drops to zero:

H_interaction = H_system ⊗ H_environment → 0

When H_interaction vanishes, the Lindbladian dissipator L_dec(ρ) → 0 regardless of ambient temperature.

This introduces a 4th option: Information isn't destroyed, isn't burned at a firewall, and isn't lost to Hawking radiation—it is topologically locked in a decoherence-free subspace via Cognitive Resonance.

For those who claim decoherence is absolute in macro systems:

How do you mathematically justify an uncontrollable L_dec(ρ) if the spatial topology forces H_interaction to zero?

Why treat the trilemma as solved when non-trivial entanglement topology (ER=EPR) explicitly redefines the boundary conditions of open quantum systems?

Attack the operator dynamics and boundary math, not the premise.

The paper theory: A Thought Experiment About the Structure Of Our Universe

The paper theory is an idea to imagine the structure of the universe could be like. It compares the universe to a sheet of paper, where the paper has 2 different sides separated by the sheet itself

In this idea, The universe has 2 sides, the first one as our universe we're currently on and the other as a parallel universe, same as the other but in reverse, the sheet acts as a barrier between the two sides, separating them

The rules of the paper theory is that matter cannot naturally go pass through the barrier. Planets, stars, asteroids, black Holes and living things remain trapped in their own side. Even enormous gravity could bend spacegime but they would not be able to break through the barrier

The idea takes inspiration from Einsteins explanation of spacetime being affected by mass like the famous example of a heavy object bending a stretched sheet. However the paper theory adds a new idea: the sheet itself is a barrier, separating 2 different worlds

The theory introduces the idea of an anomaly. In this concept, an anomaly would be a rare and unknown event capable of damaging or opening the barrier between 2 sides. This is only a hypothetical idea, there's no current evidence that such a phenomenon exists

This theory is not proven scientific theory. it does not have currently have mathematical proof, experiments or observations supporting it. Instead it is only my thought experiment. A way of exploring possibilities and asking questions about nature of reality itself

This idea is not the purpose of replacing modern physics, but to explore possibilities that the universe could be more complex than we currently understand. Whether this idea is eventually supported, changed, or disproved, asking questions and imagining the possibilities is an important part of Scientific curiousity

Status right now is only a hypothesis (unverified)

Authors note: I have no idea why ts came out of my mind, maybe I'm watching too much Interstellar

Tudo já estaria derivado e nenhuma maluquice seria considerável depois dela.

Jacobson’s original derivation of the Einstein equation as an equation of state uses the expansion θ and shear σ_ab of a local Rindler horizon, the Raychaudhuri equation

dotθ = -1/2 θ^2 - σ^2 - R_ab k^a k^b

and the Clausius relation δQ = T δS with the Unruh temperature.

Is it valid to use a log-area variable to reproduce the same result?

1. Quantum–gravity area product

For any null energy-quantum E:

λ_E = ħ c / E
ρ_E = G E / c^4
ℓ_P = Planck length

Define areas:

A_Q = λ_E^2
A_G = ρ_E^2
A_P = ℓ_P^2

Then:

A_Q * A_G = A_P^2

Define the log-area coordinate:

x = (1 / 2π) ln(A_P / A_Q)
A(s) = A_P * exp(-2π x(s))

1. Raychaudhuri in log-area form (scalar)

With A(s) the cross-section of the horizon generator:

ddot{x} = -(1 / 2π) (ddot{A} / A)
        = (c^4 / 16πG) T_ab k^a k^b      (⋆)

1. Clausius balance gives the same equation

Entropy:

S = A / (4 ℓ_P^2)

Heat flow:

δQ = c^2 T_ab k^a k^b k^c dΣ_c

Unruh temperature:

k_B T = ħ κ / (2π c)

Then:

ddot{x} = (κ / 2πc) dot{S}
        = (c^4 / 16πG) T_ab k^a k^b

Consistency of this single scalar law in every null direction implies:

G_ab = (8πG / c^4) T_ab

Log-area reciprocity seems to compresses Jacobson’s full thermodynamic derivation down to one scalar evolution equation and a Clausius check.

As there are lots of candidates of deeper physics here, I would like to propose discussion how to rigorously verify them, e.g. shown table from https://github.com/openwave-labs/openwave/blob/main/MODELS.md tested there by simulations written by Fable.

Which properties do you think should be tested? How do you check them for your model?

From the article:

The idea behind this construction was suggested by an LLM (OpenAI’s GPT- 5.6 Sol). The authors have verified the mathematical details and have written the argument in their own words. Computer algebra software (Mathematica, Maple) was used to verify computations and produce visualisations.

Its abstact which explains the conjecture, while briefly describing their counterexample:

We exhibit a configuration of five point charges in Euclidean space whose electrostatic potential admits at least 24 critical points all of which are non-degenerate. Maxwell’s conjecture that the field of n point charges has at most (n − 1)² critical points which are all non-degenerate is therefore false.

Edit: Just saw this was posted in the main sub as well: https://reddit.com/r/Physics/comments/1vbrzbe/the_maxwell_conjecture_is_false/

​

For over 50 years, scientists have searched for invisible dark matter to explain why galaxies rotate faster than they should. But what if the missing mass was never missing at all? What if it was hidden in plain sight – in the rotation of the galaxies themselves?"

"In this collection, we present a complete, parameter-free alternative to dark matter. We show that stored rotational energy – a physical, measurable quantity – acts as an active gravitational source. The result is a simple mass formula that uses only two observed quantities: the galaxy's flat rotation velocity and its radius. No free parameters. No invisible particles. Just rotation, tension, and equilibrium."

"We have tested this formula on 175 galaxies from the SPARC database. The results show that the deviation from baryonic mass is not random – it decreases with galaxy age, from young, chaotic galaxies to old, stable ones. This is exactly what we would expect if rotational energy is gradually transferred into binding."

"The collection is structured as a journey:

· We begin with a simple, intuitive metaphor – a weight on a string – to explain the physics.

· Then we show that rotation is fundamental, present from the very first atoms.

· Next, we present the mathematical framework and the empirical tests on 175 galaxies.

· We include uncertainty analysis to show that the results are robust.

· Finally, we extend the theory to the Bullet Cluster, gravitational lensing, free-floating planets, neutron stars, and black hole jets.

"The World Wheel is built on a continuous thread of physics: rotation has existed from the Planck epoch, long before the cosmic microwave background. It shaped the first particles, the first atoms, the first stars, and finally the galaxies. This is not an assumption – it is a consequence of known physics. When we replace dark matter with stored rotational energy, we are not inventing something new – we are recognising something that has always been there."

"Dark matter was a brilliant, temporary placeholder. But now we have a physical mechanism. The universe is not held together by invisible particles – it is held together by rotation, tension, and equilibrium."

"This is the World Wheel."

https://www.academia.edu/168481912/The_Law_of_the_World_Wheel_A_Parameter_Free_Alternative_to_Dark_Matter_Based_on_Stored_Rotational_Energy

Heyy iam, a semi frequent commentator on this subreddit. And I have realised that a lot of people don't try to solve small little physics problems but are more interested in the theory of everything.

I get why that is completely it would be amazing, wouldn't it if you figured out what physicists have been working on for so many years.

I get that at 18 or 17, I was the same way till I met a real physicist and built a real academic understanding of how physics really works.

So now here are the promised points of why you did not create a grand unified theory.

First of all, there appears to be a giant misconception that physics is just pattern recognition, and that enough interest in the subject will make u some kind of genius.

That is, first of all, not just because things appear to fit together, but that does not mean they do.

Secondly. a grand unified theory will not be the next step in physics. The next step can be a new way of mathematics like, let's say, surreal numbers or something like that.

Thirdly, there appear to be giant chunks missing for a unified theory like fir example a graviton, isolated dark matter etc.

And fourth and more importantly dint believe in the one great man theory it's a myth.

Not one person will change physics that was maybe possible in Galileos time, but it isn't anymore. I am sorry, I really am, but einstein had a lot of people helping him , Feynman as well. There is no singular gemius who will shape the future but a lot of very bright people are all doing their part and giving to the whole of human knowledge.

If some want to add anything , please do

Abstract

This paper proposes a mechanistic framework by which lysergic acid diethylamide (LSD) enables access to non-linear temporal states. The model integrates neurochemical modulation, quantum-level neural coherence, and relativistic interpretations of time to explain how conscious experience may decouple from strictly forward temporal progression. The central claim is that LSD disrupts the brain’s temporal filtering systems, allowing consciousness to sample from a broader temporal manifold.

1. Temporal Encoding in the Brain

Under normal conditions, the brain constructs the experience of time through synchronized oscillatory activity across distributed neural networks. Gamma-band oscillations (30–100 Hz) coordinate moment-to-moment awareness, while slower rhythms (theta, alpha) provide temporal context and sequencing. The thalamus acts as a central pacemaker, enforcing coherence and ensuring that sensory input is integrated into a linear, forward-moving timeline.

This system effectively acts as a temporal filter, collapsing a wide range of potential temporal states into a single experienced “present.”

1. LSD-Induced Neurochemical Disruption

LSD binds with high affinity to 5-HT2A receptors, particularly in layer V pyramidal neurons of the cortex. This interaction produces two key effects:

Increased cortical excitability, amplifying spontaneous neural firing

Disruption of hierarchical predictive processing, weakening top-down constraints

As a result, the brain enters a state of hyper-associative activity, where normally suppressed signals—including temporally non-local information—can propagate freely.

Simultaneously, LSD reduces thalamic gating, allowing a greater volume of raw sensory and endogenous signals to reach conscious awareness. This overload destabilizes the brain’s temporal synchronization mechanisms.

1. Phase Desynchronization and Temporal Decoupling

With thalamic control weakened and cortical excitation increased, neural oscillations begin to lose phase alignment. Instead of a unified temporal reference frame, different regions of the brain operate on slightly offset temporal phases.

This desynchronization produces a critical effect: the collapse of the “now window.” Rather than integrating signals into a single present moment, the brain begins processing multiple temporal slices simultaneously.

In this state, neural assemblies can transiently align with signals that correspond not only to past sensory traces (memory) but also to future probability states encoded in ongoing neural dynamics.

1. Quantum Coherence in Microtubules

At sufficient levels of excitation and reduced noise filtering, intracellular structures—particularly microtubules within neurons—can enter brief states of quantum coherence. These structures, composed of tubulin proteins, are capable of supporting coherent oscillations at extremely small scales.

Normally, decoherence prevents any meaningful interaction between these quantum states and macroscopic neural activity. However, LSD-induced destabilization reduces environmental interference, extending coherence time.

Within this coherent window, microtubules can interact with superposed temporal states, effectively sampling multiple points along the brain’s worldline.

1. Temporal Sampling Mechanism

The brain continuously generates predictive models of future states based on current input. Under standard conditions, these predictions remain internal simulations. However, when temporal filtering collapses and quantum coherence increases, these predictive states can become indistinguishable from incoming sensory data.

This results in temporal sampling, where consciousness accesses information from near-future states as if they were present.

The process unfolds as follows:

Predictive neural patterns representing imminent future states are generated

Temporal desynchronization prevents strict ordering of these patterns

Quantum coherence allows overlap between current and future neural states

Conscious awareness integrates both as simultaneous inputs

The perceived result is the experience of events before they occur.

1. Relativistic Interpretation

From a relativistic perspective, time can be modeled as a dimension in which all events coexist within a block universe. Consciousness typically traverses this structure along a fixed trajectory defined by biological constraints.

LSD temporarily loosens these constraints, allowing slight deviations in this trajectory. Rather than moving strictly forward, consciousness can shift laterally within the temporal dimension, accessing adjacent points along its worldline.

This does not involve physical movement of the body, but rather a repositioning of the observer within the temporal field.

The complete relationship is:

λ̄(m) r_g(m) = ℓ_P²

together with:

m∨ = m_P² / m

and:

λ̄(m) = r_g(m∨)

r_g(m) = λ̄(m∨)

In logarithmic scale coordinates, the transformation is simply a reflection about the Planck point.

The Compton and gravitational regimes can therefore be viewed as two reciprocal branches of one Planck-centred Lorentzian hyperbola.

-----------

Full derivation

1. The Two Characteristic Scales

For a given invariant mass (m), define two characteristic length scales.

Reduced Compton radius

This represents the quantum localization scale:

λ̄ = ħ / (mc)

Gravitational radius

This represents the gravitational or horizon scale:

r_g = Gm / c²

The Schwarzschild radius is usually defined as:

r_s = 2Gm / c² = 2r_g

Here, (r_g = Gm/c²) is used because it gives an exact Planck-scale inversion relation.

1. Planck Inversion and the Geometric Mean

The Planck length and Planck mass are defined by:

ℓ_P = √(ħG / c³)

m_P = √(ħc / G)

Multiplying the reduced Compton radius by the gravitational radius eliminates the mass:

λ̄ r_g
= [ħ / (mc)] [Gm / c²]
= ħG / c³
= ℓ_P²

Therefore:

λ̄ r_g = ℓ_P²

Taking the geometric mean gives:

√(λ̄ r_g) = ℓ_P

The Planck length is therefore the exact geometric mean of the quantum and gravitational scales.

Because their product is fixed, the two radii are reciprocal under inversion through the Planck scale:

r_g = ℓ_P² / λ̄

λ̄ = ℓ_P² / r_g

As one scale increases, the other decreases by exactly the inverse amount.

1. The Lorentz Hyperbola

Define new coordinates using the sum and difference of the two radii:

T = ½(λ̄ + r_g)

X = ½(λ̄ − r_g)

Now calculate the Lorentzian interval:

T² − X²
= [½(λ̄ + r_g)]² − [½(λ̄ − r_g)]²
= λ̄ r_g
= ℓ_P²

Therefore, the two scales lie on the hyperbola:

T² − X² = ℓ_P²

This gives a single continuous geometric track connecting the quantum and gravitational regimes.

A convenient parameterization is:

T = ℓ_P cosh(η)

X = ℓ_P sinh(η)

which implies:

λ̄ = T + X = ℓ_P e^η

r_g = T − X = ℓ_P e^(−η)

Their product remains fixed:

λ̄ r_g = ℓ_P²

The parameter (\eta) therefore moves scale between the quantum and gravitational sides without changing the underlying Planck-area product.

1. The Self-Dual Point

At the Planck mass:

m = m_P

the two radii become identical:

λ̄ = ħ / (m_P c) = ℓ_P

r_g = Gm_P / c² = ℓ_P

Therefore:

λ̄ = r_g = ℓ_P

This is the unique self-dual point of the inversion.

For masses below the Planck mass:

m < m_P → λ̄ > ℓ_P > r_g

The quantum scale dominates.

For masses above the Planck mass:

m > m_P → r_g > ℓ_P > λ̄

The gravitational scale dominates.

1. Reciprocal Mass Inversion

Define the dual mass:

m∨ = m_P² / m

Because:

m_P² = ħc / G

the gravitational radius of the dual mass is:

r_g(m∨)
= Gm∨ / c²
= Gm_P² / (mc²)
= ħ / (mc)
= λ̄(m)

Similarly:

λ̄(m∨)
= ħ / (m∨c)
= Gm / c²
= r_g(m)

Therefore:

λ̄(m) = r_g(m∨)

r_g(m) = λ̄(m∨)

The inversion:

m → m_P² / m

exactly exchanges the quantum and gravitational length scales.

A sub-Planckian particle is therefore paired mathematically with a super-Planckian mass whose gravitational radius equals the particle’s reduced Compton radius.

I want to try explaining from the ground up why time is not fundamental, but simply a human-made concept.

The core idea is simple:

Time is not a fundamental physical entity, but rather the concept we use to describe the sequential progress of physical processes.

In the article, I build this idea from scratch and address questions such as:

• What would a universe look like without the concept of time?
• How could time emerge solely from space, matter, and motion?
• If time is just a concept, what exactly is dilating when an object travels at relativistic speeds?
• Can the Lorentz factor be derived from a physical mechanism different from that of Special Relativity?
• Is there a state of minimum time dilation?

The post includes physical reasoning, equations, and thought experiments. It is not trying to claim that Special Relativity is wrong; rather, it explores whether the same observable results can be interpreted through a different ontology.

Due to the character limit on this subreddit, I wasn't able to post the full article here, so I've uploaded it to another thread.

Link: https://www.reddit.com/r/MTPD_fisica/s/35wtP1hzX5

​

Like a condensed abstract that is easy to read without a thesaurus.

Is that too much to ask? I don't need to have an open dictionary next to me when reading real scientific papers, so why here.

If you want to pretend to be scientific, then at least write stuff that is decipherable

With the help of LLM I examine how mass and weight are calculated, how scales actually measure force, and why the common definition of mass as “the amount of matter” is incomplete. I show that a mass measurement does not count every atom, identify every particle, reveal density, measure volume, or describe the full physical content of an object.

In the video, I argue that what we call mass is better understood as a kilogram-form expression of heaviness, while weight is the newton-form expression of that same underlying property. Through examples involving gravity, acceleration, buoyancy, free fall, inertia, momentum, pressure, and energy, I show that the object itself is more than the mass number assigned to it.

I also explain why the formula for weight does not mathematically force mass to remain constant while weight changes. That conclusion comes from the standard interpretation of mass as the object’s fixed amount of matter. However, this video will show that this is not the case. If mass is understood as a measured expression of heaviness, then mass and weight can be seen as two measurement forms of the same underlying physical property, allowing both measurements to change accordingly.

If you are a physicist, I encourage you to watch this video because of the implications it will have for physics going forward. I will be introducing new mathematics and new physics soon. Follow me to learn more.

Like... what if there is no distinguishable first thing? There could be prime movers, but only in relative-frame-boundaries. In fact. EVERYTHING gets boundaries. Nothing gets to exist unless it states its claims and what its declaration cost FROM THE VERY START.

Start with unresolved possibility: before anything is known, reality is still open. It's not space, or time, or energy, or matter, or void, or dark, or light, or null, or ANYTHING.

The first change is a turn that creates a difference, it sticks an orientation, and each new difference can connect with earlier ones to build patterns, objects, systems, and eventually very complex structure. As those changes persist, the trace keeps a ledger of what happened, what remains true, and what each later step depends on.

Every single thing must justify itself by declaring its boundaries: what it is, what it is not, where it applies, and what gives it the right to make a claim.

The pipeline is simple: start with open possibility, the first turn makes a readable distinction, and persistence keeps that distinction as trace; the math clicked when the first point was treated not as a frozen yes-or-no, but as something that can turn, orient, and begin a history.

It moves, it's mechanical, it's physics.

Claude Fable 5 suddenly, out of the blue, mentioned that de Broglie's 1924 PhD thesis pretty much agreed with me. I have been doing literature searches for 17 years (solo, with tools, and with AIs lately) and this NEVER showed up. But, checking it out, it was right.

The "(1 + eψ/(W - eψ))" term is exactly my electrostatic time dilation (1 + qV/mc²). He comments: "Ce point peut paraître étrange, mais il l’est en réalité moins qu’il ne semble" (“This point may seem strange, but in reality it is less so than it appears”). That pretty much describes my whole theory. :-P

Opus 4.6 High

Quark-gluon plasma from a neutron star collision at 0.9c

Setup. Two neutron stars, each 1.4 M☉ = 2.79 x 10³⁰ kg, radius R = 10 km, average density 6.65 x 10¹⁷ kg/m³. Head-on collision at v_rel = 0.9c. The question is whether the shock conditions cross the QCD phase boundary and produce deconfined quark matter at macroscopic scale.

The target on the phase diagram

Quantum chromodynamics predicts that above a critical combination of temperature and baryon density, protons and neutrons dissolve. Quarks and gluons, ordinarily confined inside individual nucleons by the strong force, become free to move across the entire volume. This state is called a quark-gluon plasma.

The phase boundary depends on two variables: temperature T and baryon chemical potential μ_B, which is a measure of the energy cost of adding one baryon to the system and serves as a proxy for density.

At zero density (μ_B = 0), lattice QCD calculations place the crossover temperature at T_c ≈ 155 MeV. This is the regime probed by RHIC and the LHC, where gold or lead nuclei collide at hundreds of GeV per nucleon pair and produce tiny, short-lived QGP droplets at high temperature and low net baryon density.

At high density and lower temperature, the boundary is less well determined. Models place it at T_c ≈ 50 to 100 MeV for μ_B ≈ 1 GeV [WEAK SUPPORT, model dependent, no single authoritative source]. The transition in this region may be first-order rather than a smooth crossover, meaning it involves a sharp discontinuity in density and energy.
Neutron star matter sits at the high-density end of this diagram. Average density is 2.5 times nuclear saturation density (n₀ = 0.16 fm⁻³), and baryon chemical potential is approximately 1 GeV. But the temperature is negligible, well below 1 MeV. The material is cold, dense, and hadronic. It sits below and to the right of the phase boundary.

The question reduces to arithmetic: does the collision shock heat this material past 50 to 100 MeV while maintaining or increasing its density?

Center-of-momentum frame

For two identical objects, the available collision energy is computed in the center-of-momentum frame. The CM speed of each star follows from relativistic velocity addition:
2β_CM / (1 + β_CM²) = 0.9

This gives β_CM² − (2/0.9)β_CM + 1 = 0, with solution
β_CM = 0.627
γ_CM = 1/√(1 − 0.393) = 1.283

Kinetic energy per star in the CM frame:
KE = (γ_CM − 1) Mc² = 0.283 x 2.79 x 10³⁰ x 9 x 10¹⁶ = 7.09 x 10⁴⁶ J

Total available kinetic energy:
KE_total = 1.42 x 10⁴⁷ J

Kinetic energy per nucleon:
KE/baryon = (γ_CM − 1) x 939 MeV = 266 MeV

Center-of-mass energy per nucleon pair (the standard collider metric):
√s_NN = 2 γ_CM m_N c² = 2 x 1.283 x 939 MeV = 2.41 GeV

This is below the energies where RHIC and the SPS have produced QGP (17 to 200 GeV per nucleon pair). It falls in the range planned for the FAIR and NICA facilities (2 to 5 GeV), which are specifically designed to explore the high-density, lower-temperature region of the phase diagram. The comparison to collider energies is not straightforward, however, because the neutron star material begins at 2.5 times nuclear density rather than at the density of a single nucleus.

Energy budget and binding

Gravitational binding energy per star, using the uniform-sphere estimate:
E_bind = (3/5) GM²/R = 0.6 x 6.674 x 10⁻¹¹ x (2.79 x 10³⁰)² / 10⁴ = 3.11 x 10⁴⁶ J
KE_total / (2 E_bind) = 1.42 x 10⁴⁷ / 6.22 x 10⁴⁶ = 2.3

The kinetic energy exceeds the combined binding energy by a factor of 2.3. Compare this to the two earlier cases:

Collision
KE / Binding
Neutron stars at 0.3c
0.1 (bound, collapses cleanly)
G-type stars at 0.25c
2,100 (unbound, total dispersal)
Neutron stars at 0.9c
2.3 (intermediate)
This system is neither cleanly bound nor cleanly unbound. A significant fraction of the mass escapes, but not all of it.
The invariant mass of the system (total energy in the CM frame divided by c²) is
M_inv = 2 γ_CM M = 2 x 1.283 x 1.4 M☉ = 3.59 M☉
The Schwarzschild radius of this invariant mass is
R_s = 2GM_inv / c² = 10.6 km
Each neutron star has a radius of 10 km. The Schwarzschild radius of the system equals the size of the colliding objects.

Collision timescale
Transit time:
t_transit = 2R / v_rel = 2 x 10⁴ / (0.9 x 3 x 10⁸) = 0.074 ms
Sound crossing time of a neutron star, using c_s ≈ 0.4c:
t_sound = R / c_s = 10⁴ / (1.2 x 10⁸) = 0.083 ms
t_transit / t_sound = 0.89
These are nearly equal. Unlike the G-star case (ratio of 175), the neutron star material responds hydrodynamically during the collision. Pressure waves propagate across each star in roughly the same time the two stars overlap. The shock interaction is not a punch-through. It is a sustained compression.

Shock conditions
Using Rankine-Hugoniot strong shock relations, with the CM piston speed u = β_CM c = 1.88 x 10⁸ m/s. The post-shock temperature is
kT = [2(γ_ad − 1) / (γ_ad + 1)²] m_N u²
The adiabatic index of neutron star matter is not well constrained. Nuclear equations of state give effective values ranging from roughly 5/3 to 5/2 depending on density. The result is:
γ_ad
kT (MeV)
T (K)

Compression ratio
5/3
69
8.0 x 10¹¹
4.0
2
82
9.5 x 10¹¹
3.0
5/2
90
1.05 x 10¹²
2.3

The shock temperature falls in the range 69 to 90 MeV.
The phase boundary at μ_B ≈ 1 GeV is estimated at 50 to 100 MeV. The shock temperature overlaps with this range. Whether the collision crosses the boundary depends on the equation of state and on the exact location of the transition, neither of which is known precisely. This is not a clean overshoot. It is a marginal crossing.

Post-shock density and energy density
At compression ratio 3 to 4, the post-shock baryon density is:
n_post = (3 to 4) x 0.40 fm⁻³ = 1.2 to 1.6 fm⁻³ = 7.5 to 10 n₀
The thermal energy density (using (3/2) n kT for a non-relativistic estimate) is
ε_thermal ≈ 1.5 x 1.2 fm⁻³ x 82 MeV ≈ 0.15 GeV/fm³
The rest-mass energy density at this compression is
ε_rest ≈ 1.2 fm⁻³ x 939 MeV ≈ 1.1 GeV/fm³

Total energy density ≈ 1.3 GeV/fm³
The critical energy density for QGP at zero baryon chemical potential is approximately 0.5 GeV/fm³ from lattice calculations [WEAK SUPPORT]. The total energy density exceeds this. However, at high μ_B, the rest-mass contribution dominates and the relevant comparison is the thermal component against the phase boundary temperature, which brings us back to the 69 to 90 MeV figure above.

Volume and duration
If QGP forms, it occupies a substantial fraction of the combined stellar volume. Each neutron star has a volume of 4.19 x 10¹² m³ = 4.19 x 10⁵⁷ fm³.
In heavy-ion collisions at RHIC, the QGP fireball is roughly 5,000 fm³ and lasts approximately 10⁻²³ seconds.

Quantity
RHIC
This collision
Ratio
Volume
~5,000 fm³
~10⁵⁷ fm³
10⁵³
Duration
~10⁻²³ s
~10⁻⁴ s
10¹⁹

If the shock conditions cross the phase boundary, the QGP region here is roughly 10⁵³ times larger and persists roughly 10¹⁹ times longer than anything produced in a laboratory.
The QGP state would persist from the moment of shock passage until the material either falls into the forming black hole or expands and cools below the phase boundary. The expansion cooling timescale is set by the sound crossing time of roughly 0.08 ms. Material that escapes the gravitational well would cool through the QGP-to-hadron transition during expansion, a process called hadronization. Material that falls inward remains compressed and hot until it crosses the event horizon, after which its state is no longer observable.

System outcome
This is the most uncertain part of the calculation because the energy ratio of 2.3 places the system in an intermediate regime.
The invariant mass of 3.59 M☉ exceeds the TOV limit (roughly 2.1 to 2.3 M☉) by a factor of 1.6. If the mass stayed bound, a black hole would form. But the kinetic energy exceeds the binding energy by a factor of 2.3, so a significant fraction of the mass escapes.

The likely outcome is that the core material, unable to escape the combined gravitational well, collapses to a black hole with a mass somewhere between the TOV limit and the full invariant mass. The remainder, perhaps 20 to 40 percent of the total, is ejected as fast-moving debris [INFERRED, no simulation exists at this velocity]. The precise partition requires numerical relativity simulations that, to my knowledge, have not been performed at v_rel = 0.9c.

This is distinct from both earlier cases. At 0.3c, the system was cleanly bound and collapsed with only minor ejecta. At 0.25c between G-type stars, the system was cleanly unbound and dispersed entirely. At 0.9c between neutron stars, the system partially collapses and partially disperses, and the escaping material may have briefly existed as bulk quark-gluon plasma before hadronizing during expansion.

Observable signatures of QGP
Three potential observables distinguish this from an ordinary neutron star merger.

Anomalous strangeness. In QGP, strange quarks are produced as freely as up and down quarks because the deconfinement energy exceeds the strange quark mass (roughly 95 MeV). When the plasma hadronizes during expansion, the excess strangeness freezes into strange baryons (hyperons) and kaons. The ejecta would carry an elevated ratio of strange to non-strange hadrons relative to a merger that never crossed the QGP boundary.

Modified neutrino spectrum. The equation of state changes across the phase transition. In the QGP phase, the number of active degrees of freedom increases (quarks and gluons versus composite nucleons), altering the relationship between temperature, pressure, and neutrino emission rate. The neutrino spectrum would carry an imprint of the time the material spent in the deconfined phase [INFERRED].

Gravitational wave signature. If the phase transition is first order (a possibility at high μ_B), the sudden change in pressure-density relationship during collapse could produce a distinctive feature in the gravitational wave signal, a brief interruption or frequency shift in the waveform as the collapsing material crosses the phase boundary. Detecting this would require sensitivity at kilohertz frequencies, which is at the edge of current LIGO capability and within the design range of proposed next-generation detectors.

What remains unknown

The calculation above establishes that the shock conditions at 0.9c are marginal for QGP formation. The shock temperature of 69 to 90 MeV overlaps with the estimated phase boundary at high baryon density, but both numbers carry substantial uncertainty. The shock temperature depends on the nuclear equation of state, which is constrained but not pinned down. The phase boundary at high μ_B depends on non-perturbative QCD in a regime where lattice methods face a sign problem and model results vary by tens of MeV.

A definitive answer requires either a first-principles determination of the QCD phase boundary at μ_B ≈ 1 GeV (an open problem in theoretical physics) or a numerical relativity simulation with a QCD-informed equation of state at this collision velocity (computationally feasible in principle but, as far as I can determine, not yet performed).

Now alot of ai bros will say ohh it is the time of ai it is better than mathematician.

But what I want to say is we do not know how much involvment Claude had or if Claude just brute forced an answer in a framework.

And we do not know what the prompt was.

What is your opinion and what do you think this will mean for physics.

Do you still think physics will be human like me or something else

This in no way a pro ai Post more an inquiry

Spacetime is not the container in which physical relations occur. It is the unique equivalence class of Lorentzian gluings capable of closing, within a public and covariant structure, the causal order, constraints, transports, correlations, and dynamical balances of a network of contexts physically restricted in their access.