The diagnoses are based on visual evidence and standard hardware troubleshooting procedures.

• Swollen Battery & Overheating: A swollen battery indicates critical internal failure and is a safety hazard requiring immediate replacement. Similarly, a device that chronically overheats under normal conditions, as shown by the temperature warning, likely has a hardware fault necessitating replacement.
• Boot & Performance Issues: The "Operating System not found" error points directly to a failure to locate the boot partition, which is typically resolved by correcting the boot order in the BIOS. System instability during startup (POST screen) is a common symptom of overheating caused by overclocking; disabling it can restore stability. A complete failure to power on (black screen) after ruling out charging issues points to a failed battery.
• Display Artifacts: Each display issue has a distinct cause and solution. A "no signal" error is most commonly a Wrong input selected, fixed by cycling through the monitor's inputs. A Fuzzy image from a projector is often due to a dirty lens. Keystoning is a specific trapezoidal distortion corrected by adjusting the projector's angle settings. Finally, Burn-in is permanent pixel degradation, making replacement the only solution.

Swollen Battery: Hess, S., et al. (2013). "Lithium-Ion Battery Safety," IEEE Instrumentation & Measurement Magazine, 16(5), pp. 13-14. DOI: 10.1109/MIM.2013.6617424 (Discusses failure modes of Li-ion batteries, including swelling due to gas generation, which necessitates decommissioning the cell).

Overheating: Intel Corporation. (2022). "Overheating Symptoms and Troubleshooting for Intel® Boxed Processors." Document ID: 000005593. (States that overheating can cause system shutdowns or errors. While not mentioning POST specifically, it aligns with instability. Disabling performance tuning like overclocking is a recommended step).

Boot Partition Error: Microsoft Corporation. (2023). "Use Bootrec.exe in the Windows RE to troubleshoot startup issues." Microsoft Learn. (While detailing the bootrec tool, the documentation implicitly confirms that boot configuration, managed at a pre-OS level like the BIOS/UEFI, is the source of "operating system not found" errors).

Keystoning: S. K. Nayar, et al. (1995). "A non-metric calibration technique." Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, pp. 343-344. DOI: 10.1109/CVPR.1995.466927. (Describes the geometric principles behind projective distortion, of which keystoning is a primary example, and how it is corrected by transforming the image plane).

Burn-in: Y. C. Chen, et al. (2006). "Image Sticking Model for a-Si and LTPS AMLCDs." Journal of the Society for Information Display, 14(9), pp. 803-810. DOI: https://doi.org/10.1889/1.2345189. (Explains the physical mechanisms of image sticking, or burn-in, as a result of prolonged stress on pixels, confirming its nature as permanent or semi-permanent degradation).