What scale of 10 do we have to get to before mass disappears and we're only left with information. Would it be right down to the planck length? At what size do quantum effects start?




Let's break down these fascinating questions about mass, information, and the scales of the universe.



**When does mass disappear and we're only left with information?**



This is a deeply philosophical and speculative question that delves into the heart of quantum gravity and the nature of reality itself. Here's what we know, and where the edges of our understanding lie:



* **Mass-Energy Equivalence (E=mc²):** Einstein's famous equation tells us that mass and energy are interchangeable. It's not so much that mass "disappears" but rather that it can be converted into other forms of energy.


* **Quantum Field Theory (QFT):** Our best current understanding is that fundamental particles (like electrons, quarks, etc.) are excitations of quantum fields. These fields permeate all of space. Mass arises from the interaction of these particles with the Higgs field (which gives particles their inertia).


* **The Planck Scale:** This is the key here. It's a theoretical length scale (approximately 1.6 x 10⁻³⁵ meters) where the effects of quantum mechanics and gravity are both predicted to be strong. Our current theories break down at this scale. We *believe* that at the Planck scale, the familiar concepts of space and time themselves become "fuzzy" or may even dissolve.


* **Information and Black Holes:** Black holes are regions of spacetime where gravity is so strong that nothing, not even light, can escape. Hawking radiation suggests that black holes slowly evaporate, and the *information paradox* arises: what happens to the information about the matter that falls into the black hole? One leading idea is the holographic principle, which suggests that all the information contained within a volume of space can be encoded on its boundary (a surface). This hints that information might be the more fundamental entity.


* **Speculative Answers:**


* **At the Planck scale:** It's plausible, and many physicists suspect, that at the Planck scale, the very notion of a particle with a definite mass becomes meaningless. Space and time might be emergent properties arising from something more fundamental, possibly involving information. The "mass" we observe at larger scales could be a consequence of how this underlying information is organized and interacts.


* **Beyond the Planck scale:** Some theories, like string theory, propose that fundamental particles are not point-like but are tiny vibrating strings. The different modes of vibration correspond to different particles with different masses and properties. In this view, "mass" arises from the string's vibrational state, which is a form of information.



**Important Caveats:**



* **We don't have a complete theory of quantum gravity.** The Planck scale is where our current theories fail. We need a new theoretical framework to truly understand what happens at these extreme scales.


* **"Information" is a broad term.** When physicists talk about information in this context, it's often related to the number of possible states a system can be in (entropy is related to information). It's not necessarily the same as the "information" you find in a book.


* **The disappearance of mass doesn't mean the disappearance of energy.** Even if mass as a fundamental property vanishes, energy will still exist in some form.



**At what size do quantum effects start?**


Quantum effects are *always* present, but their significance depends on the scale. There isn't a sharp boundary, but rather a gradual transition:



* **Atomic Scale (Angstroms: 10⁻¹⁰ meters):** Quantum effects become dominant at the atomic scale and below. This is where you see things like:


* **Quantization:** Energy levels are discrete (quantized), not continuous. Electrons can only occupy specific orbits around the nucleus.


* **Wave-particle duality:** Particles like electrons behave as both waves and particles.


* **Uncertainty principle:** You can't know both the position and momentum of a particle with perfect accuracy.


* **Superposition:** A particle can be in multiple states at the same time until measured.


* **Entanglement:** Two or more particles can be linked together in such a way that they share the same fate, no matter how far apart they are.


* **Molecular Scale (Nanometers: 10⁻⁹ meters):** Quantum effects are still very important for understanding the behavior of molecules, chemical reactions, and the properties of materials.


* **Microscopic Scale (Micrometers: 10⁻⁶ meters):** While quantum effects are still present, they become less noticeable in everyday phenomena at this scale and above. Classical physics provides a good approximation.


* **Macroscopic Scale (Millimeters and above):** Classical physics generally works very well at macroscopic scales, but quantum effects are still underlying the behavior of matter. We don't typically observe quantum effects directly in our daily lives (unless we're working with specialized technologies like lasers or
superconductors).



**In summary:**



* The question of when mass disappears into information is deeply linked to the search for a theory of quantum gravity. The Planck scale is the most likely place where the transition might occur.


* Quantum effects are always present, but they become dominant at the atomic and subatomic scales. There isn't a sharp boundary where quantum effects suddenly "turn on."


Keep in mind that these are active areas of research, and our understanding is constantly evolving!