No, the Heisenberg Uncertainty Principle (HUP) is not simply an epistemic limitation but a fundamental principle in quantum mechanics and here's why:

HUP as a Physical Law:

Experimental Verification: The HUP has been extensively tested and verified through experiments like electron diffraction. These experiments demonstrate the inherent wave-particle duality of matter and the inherent limitations in precisely knowing both a particle's position and momentum simultaneously.

Uncertainty in Nature: HUP isn't a measurement limitation; it reflects an intrinsic property of nature at the quantum level. Particles at this scale exhibit probabilistic behaviour, meaning their properties like position and momentum can't be known with absolute certainty.

Beyond Point Particles:

HUP and Wave Packets: The HUP doesn't define a physical size for point particles. Instead, it describes the limitations in precisely locating a particle with wave-like properties.

Virtual Particles: The "dressed" particle with a virtual particle cloud isn't directly related to HUP.

While there are limitations in our ability to measure certain properties simultaneously due to instrument precision, HUP goes beyond that.

So, HUP is not an artificial construct to make point particles more physical. It's a cornerstone of quantum mechanics with well-established experimental backing and a deeper connection to the probabilistic nature of the quantum realm.

Dear Sandeep Jaiswal ,

Thank you for you expert and extensive answer about HUP being very physical and real for the quantum world.

Nevertheless, let me then rephrase my initial question, the other way around to:

Q: Is HUP the necessary physics formalism correction to the bare mathematical model of elementary particles to make them physical and finite?

Best Regards,

Emmanouil

p.s. I mean you cannot have a physical theory based purely on singularities?

Emmanouil, thanks for the word of thanks.

Absolutely, singularities (points of infinite density) are not physically realisable. However, the Heisenberg Uncertainty Principle (HUP) isn't strictly a "correction" to the bare mathematical model of elementary particles. It's a fundamental principle in quantum mechanics that reflects the inherent probabilistic nature of the universe at the subatomic level. HUP has been extensively verified through experiments like electron diffraction. These experiments demonstrate the wave-particle duality of matter and the inherent limitations in precise measurements.

You're right; singularities aren't physically realisable. Physics strives for models that are mathematically consistent and reflect the observed behaviour of the universe. While some mathematical constructs may involve singularities (like the centre of a black hole), these are understood as limitations of the models themselves, not real physical entities.

Yes, you can say that under this context but then does that mean that it is not describing physical reality?

“Is Heisenberg Uncertainty Principle (HUP) actually epistemic and not physical?

→ “…HUP as a Physical Law:

Experimental Verification: The HUP has been extensively tested and verified through experiments like electron diffraction. These experiments demonstrate the inherent wave-particle duality of matter and the inherent limitations in precisely knowing both a particle's position and momentum simultaneously.

Uncertainty in Nature: HUP isn't a measurement limitation; it reflects an intrinsic property of nature at the quantum level. ...”

- the answer above is fundamentally correct,

However that

“…Beyond Point Particles:

HUP and Wave Packets: The HUP doesn't define a physical size for point particles. Instead, it describes the limitations in precisely locating a particle with wave-like properties….

Absolutely, singularities (points of infinite density) are not physically realisable…”

- is rather vague. Particles fundamentally interact just as “points”; and at that there is no any singularities, since they fundamentally simultaneously are “waves”.

While that

“….Virtual Particles: The "dressed" particle with a virtual particle cloud isn't directly related to HUP. …..”

- really is too vague. Correct proposition would be as “….Virtual Particles: that are some mystic things, which really fundamentally don’t exist in Matter, since in Matter fundamentally only real particles and fundamental Nature forces mediators exist”.

Besides, to answer the thread question really scientifically it is evidently necessary before to answer the question – for/by/which really scientific reason/way does the “Uncertainty in Nature”, as “an intrinsic property of nature at the quantum level” exist?

The questions above can be, and are, answered only in in the Shevchenko-Tokarevsky’s Planck scale informational physical model, 3 main papers are

https://www.researchgate.net/publication/354418793_The_Informational_Conception_and_the_Base_of_Physics

https://www.researchgate.net/publication/367397025_The_Informational_Physical_Model_and_Fundamental_Problems_in_Physics

https://www.researchgate.net/publication/369357747_The_informational_model_-Nuclear_Force

- [more see the first link above] - Uncertainty in Nature” exists fundamentally because of that the absolutely fundamental phenomenon/notion “Change” is logically self-inconsistent,

- particles [what is “particle” see 1-st link, what are at least Gravity, Electric, and Nuclear Forces real mediators see 2-nd and 2-rd links] really every tome moment exist as “point” that has size ~ Planck length, and really interacts with a Force mediator that has the same size, etc.

So more see the links above, SS posts in

https://www.researchgate.net/post/Why_Quantum_Physics_still_use_the_concept_of_particle/1

https://www.researchgate.net/post/Can_a_particle_be_its_own_antiparticle ,

https://www.researchgate.net/post/How_to_make_the_teaching_of_quantum_physics_easier_to_highschool_students/1 are relevant in this case as well.

Cheers