Paradox Avoidance: The Foundational Principle of Lucadou’s Model of Pragmatic Information

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Introduction: No-Go Constraints as Engines of Theory

In science, sometimes the most progress comes from knowing what cannot happen. Two very different thinkers—mathematician-physicist Roger Penrose and parapsychologist Walter von Lucadou—have built theories on a common strategy: take a fundamental “no-go” limitation and make it the engine of your model. Penrose, confronting the mysteries of consciousness, famously invoked Gödel’s incompleteness theorem as a no-go constraint on computation. In his view, human mathematicians can see the truth of certain Gödel-type statements that no algorithm could prove, so consciousness must be non-algorithmic physics.wm.edu. This led Penrose to propose his bold Orchestrated Objective Reduction (Orch-OR) theory with Stuart Hameroff, suggesting that new physics (quantum gravity effects in microtubules) underlies conscious thought. In short, Penrose argued that classical computational systems are fundamentally limited, implying that the mind taps into non-computable processes beyond standard physicsphysics.wm.edu.

Lucadou’s motivation is quite different—he is not trying to explain consciousness or overhaul physics writ large—but he employs a similar style of reasoning. His focus is on the elusive realm of psi phenomena (telepathy, psychokinesis, precognition, etc.), which notoriously resist stable, repeatable demonstration. Lucadou starts from a simple premise: nature won’t allow paradoxes workshoppsitheory.files.wordpress.com. If a hypothetical psi ability would enable a logical paradox—like sending information to the past or creating a causal loop—then that ability simply cannot manifest in a reliable, signal-like way. In other words, any would-be psi phenomenon must avoid intervention paradoxes at all costs. This idea is the cornerstone of Lucadou’s Model of Pragmatic Information (MPI). Just as Penrose used Gödel’s limit to argue for a non-computable mind, Lucadou uses paradox-avoidance to argue that psi can only appear as fleeting, non-instrumentalizable correlations, never as steady signals. Both approaches turn a “no-go” constraint into a guiding principle—Penrose’s limit shows what consciousness must transcend, whereas Lucadou’s limit shows what psi cannot do (if it is to exist at all).

Importantly, Penrose and Lucadou put these constraints to very different ends. Penrose’s leap is ambitious: he concludes that because algorithmic physics is insufficient, consciousness requires new, non-computable physics (hence Orch-OR). Lucadou’s move is more conservative: he does not claim new forces or quantum gravity mechanisms for psi. Instead, he suggests that psi phenomena might be real but are inherently subtle and evanescent—precisely because if they were easily harnessed, they could produce paradoxes that nature forbids. In Lucadou’s MPI, the universe “protects” its logical consistency by rendering psi effects fundamentally non-signal-like. Both thinkers thus rely on a “no-go” engine, but one uses it to justify a radical new physical hypothesis, while the other uses it to impose strict structural limits on strange phenomena.

Before diving into Lucadou’s model, let’s briefly revisit how paradox-avoidance plays out in mainstream quantum physics. This will set the stage for how Lucadou generalizes the principle to psi.

Paradoxes in Quantum Mechanics: EPR, Entanglement, and No-Signaling

Quantum mechanics is rife with phenomena that seem to flirt with paradox, yet ultimately protect causal order. The classic example is the EPR paradox (named after Einstein, Podolsky, and Rosen) involving quantum entanglement. Entangled particles exhibit coordinated outcomes no matter how far apart they are – Einstein’s “spooky action at a distance.” On the face of it, this raises the scary possibility of faster-than-light signals: if measuring particle A instantly influences particle B, could one send a message instantaneously, breaking relativity and inviting time-travel paradoxes? The resolution in standard quantum theory is that entanglement cannot be used to send any usable information. Yes, entangled pairs have correlated outcomes, but those outcomes are fundamentally random unless compared via a classical signal. In technical terms, quantum correlations are “fully compatible with the no-signaling principle” – even though two observers see coordinated results, they “cannot use the nonlocal correlations to communicate superluminally.” nature.com Any attempt to exploit entanglement for a phone-call to the past (or even just across space faster than light) runs into quantum uncertainty and decoherence. In short, nature allows correlation without controllable communication, neatly sidestepping the kind of information flow that could violate causality.

This pattern appears again and again in quantum thought experiments. Consider Schrödinger’s cat, or Wheeler’s delayed-choice experiments – they tempt us with seemingly paradoxical setups, but always, in the end, observable outcomes respect consistency. If we try to design a scenario that would create a causal loop or a contradiction, quantum theory (as far as we know) finds a way to deny us the paradoxical result. A simple rule seems to hold: you can have “spooky” correlations or probabilistic trickery, but you cannot send a definite signal in violation of relativistic causality. The universe, it appears, has a built-in no-paradox firewall. As physicist Pawel Horodecki puts it, relativity demands that “no faster-than-light transmission of information takes place” – and quantum mechanics complies by forbidding any arrangement of entangled measurements that yields an actual message nature.com. Quantum nonlocality is real, but it comes with a strict catch: it cannot be used for causal mischief.

This quantum insight is Lucadou’s point of departure. He essentially asks: if psi phenomena (like telepathy or precognition) exist, what’s to stop someone from using them to break causality? Could one, say, predict the future and send a warning back in time, or use telekinesis in a way that creates a time-loop contradiction? If yes, then we have a serious paradox on our hands. But Lucadou’s stance is that nature would never permit such a situation. If psi is real, it must obey a kind of “quantum-like” no-signaling constraint as well. In other words, psi effects might occur, but only in forms that can never be organized into a causal loop or a message. This is the heart of MPI.

From Quantum to Psi: Lucadou’s No-Paradox Principle

Walter von Lucadou generalizes the no-paradox wisdom of quantum physics into the domain of psi. He assumes as a first principle that any “intervention paradox” is forbidden in reality workshoppsitheory.files.wordpress.com. An intervention paradox means a setup where you could, for example, use information gained psi-llogically (bypassing normal causality) to alter the conditions that gave rise to that information in the first place – the classic grandfather paradox scenario. Lucadou vividly illustrates this with the time-travel metaphor: imagine going back in time and not killing your grandfather, but simply knowing you could have done so. Even that latent possibility of a paradox is enough to unravel logical consistency workshoppsitheory.files.wordpress.com. So, nature must forestall even the potential for such paradoxes. In practical terms, this means psi phenomena cannot behave like signals or deterministic interventions. They cannot carry structured information from one point to another on demand, because if they could, one might cook up a causality violation.

To formalize this, Lucadou (along with collaborators like Harald Atmanspacher, Hartmut Römer, and Harald Walach) introduced the Non-Transmission Axiom (NT-axiom) in the context of his Model of Pragmatic Information. The NT-axiom states that any attempt to use a psi effect as a signal will cause that effect to disappear or self-sabotage edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de. This is an axiom in the same spirit as quantum theory’s prohibition on faster-than-light communication. In Lucadou’s framework, psi is conceived not as a force or energy that travels, but as a kind of correlation – very analogous to entanglement correlations – that can link mental and physical events acausally edoc.ub.uni-muenchen.de. Crucially, these correlations are “not mediated by causal signals, but rather [arise] as a consequence of a specific configuration of a system’s mental and material components.” edoc.ub.uni-muenchen.de In plainer terms, psi might be a real linking of mind and matter, but it’s a non-transferable, context-dependent link. The moment you try to extract a message from it or reproduce it mechanically, you hit the NT-axiom: the would-be signal vanishes or mutates.

Lucadou’s approach is systemic and structural. He isn’t asserting a new particle or quantum field that accomplishes psychic feats. Instead, he borrows the form of quantum theory (what’s been called Generalized Quantum Theory) to describe the situation. In Generalized Quantum Theory, one applies the mathematical framework of quantum mechanics to other domains (like psychology or biology) without assuming the phenomena are literally about microphysics journals.plos.org. Lucadou uses this idea to say psi correlations behave a bit like entanglement in a “psychosocial” system. For example, a person and a random event generator might become an entangled system in the sense that their outcomes correlate beyond chance. But MPI predicts those correlations will obey a non-transmission rule analogous to quantum no-signaling. If you treat the whole experiment (person + device) as a single organizationally closed system, the system can produce an internal correlation (a meaningful anomaly) but won’t output an extractable signal to an external observer pmc.ncbi.nlm.nih.gov.

What does this mean in practice? It means any robust, repeatable psi effect – the kind you could publish in bold type or use to build a psychic telegraph – will tend to undermine itself. Lucadou and colleagues point to the long history of parapsychology where exciting effects often dissolve on replication. According to MPI, that’s not just bad luck; it’s built into the fabric of psi. To illustrate, one replication attempt of a “retro-priming” ESP experiment found that an initially strong result in one subgroup (male participants) completely vanished, even reversed in sign, when researchers tried to exploit it in follow-up tests pmc.ncbi.nlm.nih.gov pmc.ncbi.nlm.nih.gov. The original finding looked promising, but using it to “transmit and extract information” from the system triggered its disappearance pmc.ncbi.nlm.nih.gov. The authors note that this outcome was “as predicted by the MPI”: the effect had to change or vanish to avoid breaking the non-transmission rule pmc.ncbi.nlm.nih.gov. In effect, the moment they attempted to harness the psi effect, it escaped, preserving the universe’s consistency (and frustrating the researchers). This kind of story repeats throughout psi research, and MPI asserts that it could not be otherwise – if psi is real, it will be elusive by design.

The Non-Transmission Axiom and Psi’s Elusive Hallmarks

By positing the NT-axiom as a fundamental constraint, Lucadou’s MPI offers a framework to understand several hallmark patterns observed in parapsychological data. These include the decline effect, the replication failure vs. documentation quality tradeoff, and the displacement or evasiveness of psi effects. All these can be seen as natural consequences of a no-paradox, no-signal rule. Let’s break them down:

• Decline Effect: Parapsychology has long noted that psi effects, if they appear at all, tend to weaken or “fade” with repeated trials. J. B. Rhine observed this in early ESP card guessing, and many experiments since have shown an initial high scoring that later drifts to chance. MPI explains this as a result of novelty being used up. In Lucadou’s model, “the novelty of a finding is complementary to its likelihood of confirmation” edoc.ub.uni-muenchen.de. A surprising, meaningful result carries a lot of pragmatic information (information that makes a difference in a closed system), but that very meaningfulness cannot survive endless repetition. Why? Because if you keep confirming it, you’d start building a usable signal (in violation of NT). Thus, as more data are collected, the effect must decline – the initially strong anomaly “vanishes when additional data are collected” to “cure” the would-be violation of no-signal law edoc.ub.uni-muenchen.de. The decline effect, in this view, isn’t just statistical regression; it’s the universe pulling the rug to avoid a paradox-inducing proof positive.

• Documentation vs. Effect Size Tradeoff: A tongue-in-cheek saying in psi research is that “the better the documentation, the weaker the phenomenon.” Lucadou formalized this idea with an equation in MPI: pragmatic information (I) is enhanced by Novelty (N) and Autonomy (A), but diminished by Confirmation (B) and Reliability (R) edoc.ub.uni-muenchen.de. In plainer terms, an experiment that allows spontaneity, novelty, and observer freedom tends to generate more psi effects, whereas an experiment that is highly constrained, pre-registered, and rigorously controlled (maximizing reliability and confirmation) inherently contains less pragmatic information and thus should yield little to no psi edoc.ub.uni-muenchen.de. This doesn’t mean good methodology causes the effect to vanish in a mundane way; rather, if you demand a clear, repeatable signal, you’ve essentially designed away the necessary conditions for psi to manifest. The MPI predicts that exact replications with low novelty and high formal rigor will likely be psi-dry. Indeed, replication attempts are often “without unambiguous results” in psi studies edoc.ub.uni-muenchen.de. It’s a kind of Catch-22: to convincingly demonstrate psi, you’d want stringent methods, but those very stringencies are what psi seems to abhor. The tradeoff is a direct consequence of the Non-Transmission Axiom: a setup rich in pragmatic meaning (like a novel experiment or a spontaneous case) can show an anomaly, but the more you try to pin it down as a reliable signal, the more the meaningful anomaly dissipates.

• Displacement and Evasiveness: Perhaps the most intriguing prediction of MPI is that psi effects, when blocked from appearing where you expect them, might still appear “out of the corner of your eye.” Lucadou observed that when experimenters tighten conditions on one variable, sometimes odd results pop up in an unexpected variable. This is termed the displacement effect. According to Lucadou, if a psi effect is pushed out of the direct measure (by the constraints of replication or observation), it may “unsystematically re-appear on other indicators that were not initially studied” edoc.ub.uni-muenchen.de. For example, if you try to get a person to mentally influence a random number generator’s output bit and nothing shows in the bit-count, you might later find a bizarre correlation in some secondary measure (like timing or temperature) that wasn’t the target. The evasive character of psi – the infamous “shyness” or “trickster” aspect – is thus elevated to a principle. MPI suggests that psi phenomena are organismic and holistic, not machine-like. They manifest as correlations within a complex system and will shift channels or hide if you attempt to isolate and broadcast them. This is not just a humorous excuse for why “the psychic powers stopped when we turned on the camera.” Rather, it is exactly what a no-paradox rule demands. If one channel of potential signaling is closed (to prevent exploitability), the correlation might still emerge in another channel, but always in a way that avoids forming a controllable message edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de. The outcome is a phenomena that are real yet intrinsically evasive – always one step ahead of our efforts to capture them in a straightforward, repeatable experiment.

All these effects – decline, replicability issues, displacement – which can seem like weaknesses or maddening anomalies for parapsychologists, are recast as logical necessities in Lucadou’s model. They are exactly what we should expect if psi is governed by a non-transmission constraint analogous to quantum non-signaling. In MPI, stable psi phenomena that could send clear signals are an impossibility – they would invite paradox and thus nature “vetoes” them preemptively edoc.ub.uni-muenchen.de. What’s left are subtle, context-bound, correlation-based effects that appear meaningful but defy exploitation. This is a very “modest” account of psi: it doesn’t give us a magic tool or a new energy to manipulate. Instead, it paints psi as a kind of natural epiphenomenon – interesting and possibly telling us something about the unity of mind and matter, but not something we can turn into technology or reliably demonstrate under bright lights. In Lucadou’s words, using pragmatic information entanglement for signal transmission would be feasible “if psi effects were robust and replicable”, but because that would violate NT, what happens instead is an “unsystematic disappearance” of the effect upon attempted replication edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de. The world stays safe for causality, and psi stays forever in a twilight zone of tantalizing, fleeting correlations.

Contrasting Visions: Penrose’s Quest vs. Lucadou’s Safeguard

It’s worth highlighting the stark contrast between Penrose’s and Lucadou’s uses of their respective no-go motors. Roger Penrose, armed with Gödel’s theorem, aimed to expand science’s horizons. He essentially said: “The algorithms of current physics can’t explain our mind’s insight; therefore, physics itself must be incomplete. We need a new theory (like Orch-OR) that introduces non-computable elements to explain consciousness.” Penrose’s view is that consciousness exploits new physics – quantum processes in the brain that collapse wavefunctions in a non-algorithmic way nautil.us. He is, in a sense, invoking a paradox (Gödelian undecidability in formal systems) to argue for a radical solution: consciousness as a non-computable phenomenon embedded in quantum gravity nautil.us. It’s a bold, controversial claim that has been both admired and heavily criticized. Penrose is reaching for a grand unification of mind and physics – he suspects that by demanding “no algorithm can do what the mind does,” he will find the answer in as-yet-undiscovered laws of nature.

Walter von Lucadou, by contrast, is not seeking a new fundamental force or a rewrite of quantum mechanics. His MPI lives more in the realm of systems theory and phenomenology than in the quest for a quantum brain. Indeed, MPI and the associated Generalized Quantum Theory explicitly avoid making claims about microscopic mechanisms journals.plos.org. They use the formalism of quantum theory (such as the idea of complementary variables, entanglement-like correlations, etc.) as a metaphor or modeling framework for psi, without insisting that electrons or tubulins in the brain are doing anything unusual. Lucadou’s focus is on the structural and informational constraints that would govern any psi-like effect, not on pinpointing a physical origin for psi. In a way, Lucadou’s stance is deflationary. He’s saying: even if psi is real at the level of human experience, it does not violate physics because it never produces a transferable signal or energetic effect. It’s “allowable” within our current scientific worldview precisely because it respects a strict boundary (the NT-axiom). There’s no need for a new law of physics to enforce NT – it’s more like a logical consistency condition that any phenomena must satisfy to coexist with known physics edoc.ub.uni-muenchen.de.

This leads to a fascinating philosophical difference. Penrose is willing to stake a claim on consciousness being beyond Turing computation and thus awaits a revolution in science to account for it. Lucadou, on the other hand, basically tells his fellow scientists: “You don’t have to fear psi breaking your equations, because if psi exists, it abides by an order that you already implicitly trust – no causality breakdowns.” MPI doesn’t try to convince you that the mind is quantized or that precognition is using wormholes; it simply says psi, if it exists, is a kind of nonlocal correlation that is as natural (and as limited) as the correlations in quantum experiments edoc.ub.uni-muenchen.de. In technical terms, MPI leans on complementarity and system closure rather than new particles. Lucadou even draws on ideas from systems theory (e.g., organizationally closed systems) to describe how a psi experiment might form a self-contained unit where pragmatic information (meaningful to that system) can circulate without leaking out as a signal pmc.ncbi.nlm.nih.gov pmc.ncbi.nlm.nih.gov. This is a much more subtle and circumscribed role for the mysterious phenomena: they are real, but they live in the shadows cast by deeper principles of self-organization and meaning, never outright violating the known physical laws.

So, Penrose gives us an ambitious program: find the new physics that allows mind to do the non-computable magic. Lucadou gives us a protective principle: any weird psi you encounter will obey rules that keep the world logically safe—no magic messages, no lottery-winning precogs altering the timeline. It’s almost an opposite impetus. And yet, both share a kind of intellectual daring: they each identify a fundamental limit (algorithmic incompleteness for Penrose, paradox-allowance for Lucadou) and assert that this is the key to their domain of interest. One might say Penrose was more willing to break scientific rules (postulating microtubule quantum gravity) to explain nature, whereas Lucadou is more willing to bend our interpretation of nature so as not to break any rules (psi as strictly non-causal correlations).

It’s also worth noting that Lucadou’s model, while modest in not positing new forces, is radical in implication (as we’ll discuss in a moment). He and colleagues have framed psi in terms of “entanglement correlations in generalized quantum theory”, even using the term “synchronistic phenomena” edoc.ub.uni-muenchen.de. This explicitly connects to Carl Jung’s idea of synchronicity (meaningful coincidences acausally connecting psyche and matter). Jung’s synchronicity was essentially a philosophical leap: meaning itself acting as an “ordering principle” in the world. Lucadou stops short of a Jung-like metaphysics in MPI—he doesn’t claim that mind or meaning are overriding physics—yet by couching psi as acausal but meaningful correlations, he’s injecting a distinctly non-materialistic element into the conversation (just not one that violates any equations). In contrast, Penrose injects non-materialism by way of speculative physics; Lucadou injects it by way of information and systems (some might even say semantic or meaning-based constraints).

Conclusion: Meaning and the Paradox-Free Universe

Walter von Lucadou’s Model of Pragmatic Information gives us a strikingly self-consistent picture: a world where psi phenomena can occur, but only as gentle eddies in the stream of causality, never as a torrent that breaks the banks. By building paradox-avoidance into the core of MPI, Lucadou manages to account for the frustrating characteristics of psi research—its fragility, its inconsistency, its tendency to disappear under scrutiny—while also offering a kind of reassurance that if psi exists, it won’t wreck our causal understanding of the universe. In MPI, we get to have our paranormal cake (some odd correlations that hint at mind-matter connection) without forcing physics to eat it (no causality violations, no free energy, no messages from the future).

However, as we hinted above, this “modest” account carries profound implications. If we take MPI and its interpretation of psi data seriously, we are led to a subtle yet radical perspective: Meaning itself might be an ontological factor in nature. MPI essentially says psi effects are driven by meaningful configurations – they are “pragmatic information”, which is information that has significance or impact for a closed system edoc.ub.uni-muenchen.de. In other words, psi isn’t about energy or forces; it’s about information that matters to some observer or system. So if experiments repeatedly show that meaningful intent or emotional resonance can produce small deviations (but only until they threaten paradox), it implies that meaning is not just in our heads. Instead, meaning can shape real patterns in the physical world, albeit in a delicate way that respects overarching constraints. This viewpoint is arguably more philosophically revolutionary than a causal proof of telepathy would be. It suggests that at a fundamental level, reality might have a dual character: the causal structure we’re all familiar with, and an acausal, correlation-based structure where meaning connects events.

Lucadou himself stays on the scientific side of the line – he doesn’t claim to be reinventing ontology. MPI is couched in systems theory and informational language. Yet, it’s hard not to notice how it rhymes with ideas from philosophy and even mysticism: the notion that mind and matter are two aspects of one reality, and that meaning bridges the two. In quantum physics, we learned that the observer can’t be completely divorced from the observed; with MPI, we learn that if the observer’s intention or meaning could ever intrude, it must do so in a way that doesn’t violate cosmic consistency. That means the influence can only appear as acausal correlations, little wink-like anomalies that enrich the world with synchronicity but never allow a paradox.

For the scientifically literate skeptic, MPI offers a fascinating truce: you don’t have to accept any wild new forces, but you might have to accept that information and meaning have a deeper role in nature than we thought. For the believer in psi, MPI offers an explanation for why their favorite phenomena are so unreliable: it’s not because they’re fake, necessarily, but because the universe self-regulates to prevent us from turning psi into a causal weapon or tool. In the end, both might agree that if this model is on the right track, then reality is woven in such a way that paradoxes are kept at bay – and intriguingly, it may be the fabric of meaning itself that provides the pattern. The world according to Lucadou is one where we’re safe from grandfather paradoxes and time-loop mischief, but not because psi is absent – rather, because psi operates in the shadows, hinting that mind and matter are entwined by threads of significance, not energy, threads that gracefully dissolve whenever we try to tie them into ropes. It’s a vision at once comforting (nature’s order is secure) and provoking (meaning might be as fundamental as matter). And it all starts from that simple, powerful dictum: no paradox allowed.

Appendix A: Example of Checker Intervention Paradox

Below is a simple concrete scenario that starts with an ordinary-looking psi experiment, assumes (counterfactually) that exact replication succeeds and yields a stable signal, and then shows how that could be turned into an intervention paradox.

Step 1: A simple psi result becomes a “signal”

Imagine a PK-on-RNG experiment:

• A random number generator (RNG) outputs 0/1 bits.

• A subject tries to “push” it toward more 1s.

• You define a clear success criterion:
  “If the z-score exceeds 2 (≈ p < .05), that’s a successful PK hit.”

Lucadou explicitly warns that once you give the system this kind of explicit meaning/criterion (“>2 SD = success”), you’ve created a lot of pragmatic information, and the effect must disappear.

But now take your hypothetical: suppose you can repeat it exactly and it keeps working.

Then you now have something like a binary channel:

• Subject intends “1” → RNG reliably biases above chance.

• Subject intends “0” → RNG reliably biases below chance.

That is already a signal (a controllable causal influence), which is precisely what Lucadou’s “anti-axiom / NT axiom” forbids: entanglement correlations cannot be used to transmit signals or controllable causal influences.

Step 2: Turn the signal into a “message from the future” setup

Now we add one ingredient that Lucadou discusses: pre-recorded targets / stored random sequences.

You do this:

Day 1 (Monday):

• The lab generates a long random bit sequence (say 10,000 bits).

• It saves that exact sequence in a file on a computer (the “memory”).

Day 2 (Tuesday):

• The subject comes in and does the PK task — but instead of influencing live bits, they are told they are influencing the stored sequence (or the choice of which stored sequence will be used).
  Lucadou notes that for entanglement-style correlations “time distance does not matter.”

Now assume again the “too-strong” assumption: the subject’s intention can reliably bias the stored sequence so it shows a statistically significant deviation.

If that were possible reliably, you have effectively created a way for Tuesday’s intention to show up in Monday’s already-stored data — i.e., it’s functionally like a message into the past (even if you don’t want to call it that metaphysically).

Step 3: The “checker” creates the paradox

Now introduce a second person: the checker.

The checker’s job is simple:

• On Monday, before Tuesday happens, the checker opens the stored file and runs the success test.

• If the checker sees a big deviation from chance (meaning: “the subject must have successfully influenced this”), the checker intervenes and deletes that file and replaces it with a fresh random file.

Lucadou states the key move very directly:

• If you can look into the memory, see a deviation, and then intervene, you would “produce a paradox.”

• The reason: you would have a sequence that “will later be influenced by a subject” but which (due to the intervention) would not be shown to the subject, and yet it “should [still] show [an] effect,” which “cannot be because it would be a paradoxical situation.”

Here’s the paradox spelled out in plain language:

1. Suppose Tuesday’s subject succeeds (the psi signal works and biases the stored data).

2. Then on Monday, the checker would see the deviation and delete/replace the file.

3. But if the file gets deleted/replaced on Monday, then on Tuesday the subject is not influencing that original file anymore (the “target” they would have influenced is gone or swapped).

4. If Tuesday cannot influence the original file, then Monday should not show a deviation in the original file.

5. But if Monday does not show a deviation, the checker does not delete it…

6. …which leaves it in place for Tuesday to influence…

7. …which would make Monday show a deviation…

So the file both must and must not show a deviation, depending on whether the checker deletes it — but the checker’s decision depends on the deviation. That’s the loop.

This is exactly the kind of “intervention paradox” Lucadou means: the moment you can use the effect as information that triggers an intervention, you can build self-referential contradictions.

Why MPI says the replication won’t hold

Lucadou’s solution is the NT / anti-axiom:

• You can have entanglement-like correlations,

• but you can’t use them for signal transfer.

  Lucadou Transcript 25_12_11 - G…

• And more precisely: when you have a criterion and try to use it via replication, the entanglement doesn’t necessarily vanish completely — but “the criterion is not reached anymore,” producing a lawful decline/displacement pattern.

He also says bluntly that this paradox-avoidance is “the real core”:

• “You can stop the entanglement because nature does not allow paradoxical situations… if you have enough knowledge… or if you have a criterion to use the system to create a signal transfer.”

So in MPI terms:

• A one-off anomaly might occur (a correlation).

• But a repeatable, criterion-based, user-controlled signal would let you build exactly these “checker / intervention” loops.

• Therefore, when you attempt the exact replication that would turn it into a signal, the effect must either decline or displace so that the criterion isn’t reliably met.

A shorter “toy paradox” version (same idea)

If you want it even more stripped down:

• You have a psi device that, tomorrow, will reliably output either 0 or 1 based on your intention.

• Today you write:
  “If tomorrow’s device outputs 1, I will intend 0 tomorrow.
  If tomorrow’s device outputs 0, I will intend 1 tomorrow.”

If the device were truly a stable signal channel, this creates a self-contradiction: whatever bit appears tomorrow forces you to choose the opposite intention tomorrow, which would force the opposite bit to appear, etc. (It’s basically the “liar sentence” built into a machine.)

MPI’s point is not that people are actually doing this; it’s that once a controllable signal exists, it’s always possible in principle to engineer these self-referential interventions — so nature won’t allow the signal in the first place.

Appendix B: Example of FTL Communication Paradox

Here’s a simple “two labs” version of the paradox, using the standard relativity idea that any controllable faster‑than‑light (FTL) signaling + special relativity ⇒ you can build a causal loop.

Step 1: Start with a “psi signal” (the thing MPI forbids)

Assume (for the sake of the thought experiment) you’ve done a psi/PK experiment and found something repeatable:

• Lab A and Lab B are far apart (say, 1 light‑year).

• In Lab B there’s an RNG that produces bits.

• In Lab A, a participant can choose what bit B gets:

  • If Alice at A intends “1,” B’s RNG output is biased so B can decode “1.”

  • If Alice intends “0,” B’s RNG output is biased so B can decode “0.”

If this works reliably, that’s a controllable causal influence / a signal channel.

Lucadou’s “anti-axiom” says exactly this is not allowed: “entanglement correlations cannot be used to transmit signals or controllable causal influences.”

So we are now deliberately assuming the opposite (a stable psi signal) to see why it leads to paradox.

Step 2: Why “FTL signal” + relativity creates backward-in-time messaging

Here’s the key relativity fact (in plain language):

• In special relativity, different observers disagree about what events are “simultaneous.”

• If you have an FTL signal, there will always exist some inertial frame where the “receive” event happens before the “send” event.

You don’t need heavy math, but a tiny bit helps show it’s not hand-waving:

A common Lorentz-transform relation for the time difference between two events is:

Δt′=γ(Δt−v Δx/c2)\Delta t’ = \gamma(\Delta t - v\,\Delta x/c^2)Δt′=γ(Δt−vΔx/c2)

If the signal is superluminal, Δt\Delta tΔt can be small compared to Δx/c\Delta x/cΔx/c, and you can pick a relative velocity vvv such that Δt′<0\Delta t’ < 0Δt′<0. That means: in the moving frame, the message arrives before it was sent.

Concrete numbers

• Distance: 1 light‑year

• Light travel time: 1 year

• Assume your psi signal arrives in 1 day (so it’s wildly faster than light but still finite).

• Put Lab B on a ship moving at just 1% of the speed of light relative to Lab A (0.01c). That’s not even “sci‑fi impossible” in principle.

Compute the term vΔx/c2v\Delta x/c^2vΔx/c2 in everyday units:

• Δx/c\Delta x/cΔx/c is 1 year (the light travel time).

• Multiply by v/c=0.01v/c = 0.01v/c=0.01: that’s 0.01 year ≈ 3.65 days.

So in B’s moving frame:

• Δt′≈(1 day−3.65 days)×γ\Delta t’ \approx (1\text{ day} - 3.65\text{ days})\times \gammaΔt′≈(1 day−3.65 days)×γ

• That’s negative (~ −2.65 days times a factor close to 1).

Meaning: in B’s frame, B receives the message about 2.6 days before A sent it.

That’s the “door” to paradox.

Step 3: Build the paradox: the tachyonic “anti-telephone” loop

Now let B use the same psi-signal capability to send a message back to A (again FTL).

Set up a simple rule:

1. A sends a bit to B: “I will send 1.”

2. B’s rule: “If I receive a 1, I immediately send back: ‘DON’T SEND 1.’ If I receive a 0, I send back: ‘DON’T SEND 0.’”

Because of the relativity-of-simultaneity reversal, it’s possible for A to receive B’s “DON’T SEND” message before A sends the original bit (in A’s own time ordering).

Now the contradiction:

• If A receives “DON’T SEND 1” before sending anything, A refrains from sending 1.

• But if A doesn’t send 1, then B never receives 1…

• …so B never sends “DON’T SEND 1”…

• …so A never receives it…

• …so A does send 1…

• …and we’re in a loop.

This is the classic intervention paradox: the message’s content triggers an action that prevents the message’s existence.

And that’s why “psi as a stable signal” is not just a cute anomaly — it becomes a consistency bomb.

Step 4: How MPI blocks this (Lucadou’s point)

Lucadou’s claim is: you can always design paradox-generating interventions if you have enough knowledge/criterion to use a psi effect as a signal. He states this bluntly:

• “You can stop the entanglement because nature does not allow paradoxical situations… if you have … a criterion … to create a signal transfer.”

And he links this directly to replication and criterion-based use:

• If you define a criterion (e.g., “>2 SD = success”) and then try to replicate to turn it into a reliable effect, the criterion won’t keep being reached — you get lawful decline/displacement instead.

So MPI’s logic is:

• If psi correlations were controllable signals, you could do FTL messaging.

• If you can do FTL messaging (while keeping relativity’s structure), you can do backward-in-time messaging in some frames.

• If you can do backward-in-time messaging, you can construct intervention paradoxes.

• Therefore, nature must prevent psi from becoming a controllable signal — hence the NT/anti-axiom.

This is also why Lucadou says that using entanglement correlations “as a tracer or kind of signal” weakens them.

Step 5: One important nuance (so this doesn’t feel like sleight-of-hand)

You might ask: “Is FTL always paradoxical?”

In physics, the standard result is:

• FTL + no preferred frame (Lorentz symmetry fully respected) ⇒ causal loops are possible.

One can try to dodge that by postulating a preferred frame (a hidden universal “now”) that constrains FTL in a way that blocks loops — but then you’ve changed the structure of relativity in a deep way.

Lucadou’s move is different: he doesn’t try to rescue FTL signaling by adding a preferred frame; he instead says the phenomenon itself is non-transmissible, so you never get a signal channel in the first place.

Sources:

1. Penrose’s use of Gödel’s theorem to argue for non-computability in consciousnessphysics.wm.edu.

2. Lucadou’s insistence that any model of nature must avoid time-loop paradoxes workshoppsitheory.files.wordpress.com.

3. Quantum entanglement’s non-signaling feature prevents superluminal communication nature.com.

4. Lucadou et al.’s Model of Pragmatic Information describing psi as entanglement-like correlations that cannot transmit signals edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de.

5. Experiment showing a psi effect vanished upon attempted exploitation, consistent with the Non-Transmission Axiom pmc.ncbi.nlm.nih.gov pmc.ncbi.nlm.nih.gov.

6. Explanation of decline and displacement effects as a consequence of the NT-axiom in MPI edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de; see also summary of MPI’s predictions edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de.

7. Generalized Quantum Theory applied to psi (Atmanspacher, Römer, Walach) — formalism without new physics assumptions journals.plos.org.

8. Lucadou, Römer, Walach (2007), “Synchronistic Phenomena as Entanglement Correlations,” Journal of Consciousness Studies edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de.

9. Walach, Lucadou, Römer (2014), discussion on pragmatic information and the Non-Transmission principle ensuring natural order edoc.ub.uni-muenchen.de.

10. Maier et al. (2018) and others on decline effect patterns, referencing Lucadou’s model of complementary novelty vs. confirmation edoc.ub.uni-muenchen.de edoc.ub.uni-muenchen.de.