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This would be a incredible battle for the ages and its really hard to determine a clear cutt winner for this one. So let just go by the facts and see who would this battle of power.....
Doomsday
Powers and abilities:
Doomsday was created and evolved through cloning an infant and having it killed over and over again by one of the most dangerous species of the universe and in one of the harshest habitats in existence, prehistoric Krypton. As such, he returns to life and becomes resistant or immune to what killed him before. After the Radiant killed him the first time they fought, Doomsday grew immune to the former's energy-projection, and even managed to withstand Darkseid's full Omega-Effect.[6] The amount of damage dealt to Doomsday determines the length of time it would take to fully recover. During his outwardly undamaged death at Superman's hands, he only needed some days to recover, but when Imperiex reduced him to a skeleton, it would take months.
Doomsday can also develop/evolve resistance from ordinary injuries. Superman once used a sound gun to greatly discomfort him, but Doomsday's auditory canals closed up, making him impervious to Superman's weapon.[6] Waverider once paralyzed Doomsday with chronal energy, but the second attempt backfired.[6] In essence, Doomsday gradually turns more invulnerable if not injured beyond his ability to recover, which is so far undefined. Doomsday has also developed weapons and abilities that counters the powers of an opponent. He managed to cancel out the pure-energy Radiant by slamming into him, and greatly extend his claws and develop a poison to strike Superman in flight and reel him in,[6] or breathe flames against the fire-sensitive Martian Manhunter.[7] Doomsday is covered by bony spurs providing protection to his few vital organs (brain, eyes, nervous system) and acting as weapons on his hands, elbows and knees.
Doomsday possesses extreme physical strength that, variable as it is, sometimes exceeds that of Superman, at one point enabling him to effortlessly stand his ground against the entire Justice League, including Superman and Orion.[8] He was able to break Superman's left arm with limited effort, as well as outmatch and beat Darkseid unconscious in physical combat.[6]
Doomsday is immensely resistant to heat, cold, and conventional damage, allowing him to survive on the most inhospitable worlds, or in the vacuum of space. His durability apparently also considerably exceeds that of Superman, as he was able to withstand Darkseid´s full-powered "Omega Effect" without any shown damage.[6]
Doomsday possesses seemingly inexhaustible stamina, and was not noticeably slowed down from fighting Superman for an entire day. His reflexes and speed are vastly beyond what's expected for his bulky size, and has been able to match Superman in this regard. He cannot fly, but rather travels by leaping miles at a time. Superman took advantage of this in their first battle by trying to keep him airborne, as the sky was his element.
Doomsday has a highly accelerated healing factor that allows him to quickly regenerate from most damage. When his side was cut by Superman with a plasma sword, it closed within moments. As a result of his engineering, Doomsday does not need to eat, drink, breathe, or sleep, and his body is almost solid mass with few vulnerable organs.[6]
Doomsday is now genetically part-Kryptonian due to his genes having been spliced with Kal-El's, however with the exception of his flame-breath, he has displayed no additional abilities. In fact, he was shown weaker than previously when he was singlehandedly beaten by Superman, which should not have been possible given previous accounts. This was rationalized as due to intelligence that he developed, causing him to fear the death that awaited him if he lost, but does not explain how a simple minor concussion could incapacitate his healing-factor for the time he remained unconscious.[7] However, he lost his intelligence when sent back in time, reverting him to his original state of fearlessness.[citation needed]
Once he gained some of Superman's Kryptonian DNA, he became susceptible to Kryptonite. Unlike Superman, it causes him pain, but cannot kill him.[citation needed] This was done to render him controllable.
Hulk
Powers and abilities:
The Hulk possesses the potential for near-limitless physical strength depending directly on his emotional state, particularly his anger.[39] This has been reflected in the repeated comment "The madder Hulk gets, the stronger Hulk gets." The entity Beyonder once claimed that the Hulk's potential strength had "no finite element inside".[40] His durability, healing, and endurance also increase in proportion to his temper.[41] Greg Pak described the Hulk shown during World War Hulk as having a level of physical power where "Hulk was stronger than any mortal --and most immortals-- who ever walked the Earth." [42]
The Hulk is resistant to most forms of injury or damage. The extent varies between interpretations, but he has withstood the equivalent of inner solar temperatures,[43] nuclear explosions,[44] and planet-splitting impacts.[45] He has been shown to have both regenerative and adaptive healing abilities, including growing tissues to allow him to breathe underwater,[46] surviving unprotected in space for extended periods (yet still eventually needing to breathe),[47] and when injured, healing from most wounds within seconds.[48]
His powerful legs allow him to leap into lower Earth orbit or across continents,[49] and he has displayed sufficient superhuman speed to match Thor,[50] or the Sentry.[51] He also has less commonly described powers, including abilities allowing him to "home in" to his place of origin in New Mexico,[52] resist psychic control,[53] grow stronger from radiation[54] or dark magic,[55] and to see and interact with astral forms.[56]
As Bruce Banner, he is considered one of the greatest minds on Earth. He has developed expertise in the fields of biology, chemistry, engineering, and physiology, and holds a Ph.D. in nuclear physics. He possesses "a mind so brilliant it cannot be measured on any known intelligence test".[57]
In The Science of Superheroes, Lois Grest and Robert Weinberg examined Hulk’s powers, explaining the scientific flaws in them. Most notably, they point out that the level of gamma radiation Banner is exposed to at the initial blast would induce radiation sickness and kill him, or if not, create significant cancer risks for Banner, because hard radiation strips cells of their ability to function. They go on to offer up an alternate origin, in which a Hulk might be created by biological experimentation with adrenal glands and GFP.
Charles Q. Choi from LiveScience.com further explains that unlike the Incredible Hulk, gamma rays are not green; existing as they do beyond the visible spectrum, gamma rays have no color at all that we can describe. He also explains that gamma rays are so powerful (the most powerful form of electromagnetic radiation and 10,000 times more powerful than visible light) that they can even create matter- a possible explanation for the increased mass that Bruce Banner takes on during transformations. "Just as the Incredible Hulk 'is the strongest one there is,' as he says himself, so too are gamma ray bursts the most powerful explosions known
