Picture this: 13.8 billion years ago, the universe explodes into existence from a point smaller than an atom. Time starts ticking in tiny increments—Planck time, a mind-boggling \( 5.39 \times 10^{-44} \) seconds—and space begins to stretch. Scientists call this the Big Bang, but what if the story we’ve been told is missing a cosmic twist? What if the speed of light, that ultimate universal constant we call \( c \), isn’t quite as constant as it seems—and what if radiation, the glow of the cosmos, has been pushing the universe apart all along?
In the first fleeting moments, at \( t = 1 \) Planck time, the universe is a speck, tinier than anything we can imagine, buzzing with energy denser than a trillion suns packed into a pinhead. There’s no light as we know it—photons, those massless messengers, haven’t formed yet, so there’s no radiation pressure to speak of. Instead, the universe expands at the speed of light, a straight-line sprint where its size grows as \( c \) times time. Imagine spacetime unfurling like a scroll, but gravity—this monstrous pull from all that energy—tries to reel it back in. It’s a tug-of-war, and for now, expansion just barely wins.
Fast forward to \( t = 10^{20} \) Planck times (that’s still just \( 10^{-36} \) seconds). The universe has cooled enough for particles to pop into existence—quarks, electrons, and yes, photons. Suddenly, there’s light, and it’s bouncing off everything in a hot, chaotic soup. This is where radiation pressure kicks in, a force born from light pushing against matter. At first, it’s feeble—gravity’s grip is still titan-strong, and the inertia of all that energy resists the shove. But the universe keeps growing, and something wild is brewing.
Here’s the kicker: the speed of light isn’t a global rulebook—it’s local, tied to the fabric of spacetime around it. Think of it like this: if the Sun vanished in a puff of matter-antimatter annihilation, Earth would keep orbiting for 8 minutes, oblivious, because gravity’s signal travels at \( c \). In the early universe, everything’s so close that light and gravity connect it all. But by \( t = 10^{22} \) Planck times (\( 10^{-34} \) seconds), the universe is stretching fast—faster than light can keep up across its full span.
This is where the 4D Schwarzschild radius comes in—not just a black hole’s edge, but a spacetime boundary. It’s the limit of how far an event, like a photon’s flash or gravity’s tug, can reach at \( c \) before expansion tears it apart. When the universe’s size outstrips this 4D horizon—when particles on one side can’t “talk” to the other—\( c \) stops being a cosmic constant and becomes a local one. Each patch of spacetime gets its own speed limit, stretched by the expanding fabric between them.
With gravity’s reach lagging, radiation pressure—powered by those relentless photons—takes over. In standard cosmology, light’s push weakens as the universe grows, but here, with \( c \) turning local, it’s as if the pressure gets a boost. The stretching spacetime amplifies light’s shove, overcoming inertia and gravity’s fading grip. The result? Exponential inflation—a runaway expansion where the universe doubles in size every fraction of a second. From a speck to a grapefruit in a cosmic blink, all driven by the glow of radiation, not some mysterious “inflaton” field.
Zoom to now, February 20, 2025, or \( 2.6 \times 10^{71} \) Planck times since the start. The universe is 13.8 billion years old, and its edges are racing away faster than light, beyond our Hubble horizon. That faint microwave glow we detect—the cosmic microwave background, at a chilly 2.7 Kelvin—still exerts a whisper of radiation pressure. It’s tiny, but in this model, it’s a legacy of that early push, stretched across a cosmos where \( c \) is local to each bubble of spacetime. We see galaxies receding, and they see us the same way, each with our own \( c \), stitched into a vast, expanding tapestry.
This isn’t the textbook Big Bang. It ditches the inflaton for radiation pressure and reimagines \( c \) as a local player, tied to spacetime’s stretch and a 4D horizon. Does it hold up? The cosmic microwave background’s smoothness and the universe’s flatness suggest something like inflation happened, and this model aims to fit. But it’s a bold leap—varying \( c \) challenges Einstein’s bedrock, and radiation alone struggles to match the math of standard inflation. Still, it’s a thrilling “what if”: a universe where light doesn’t just illuminate—it expands, stretching space itself into the vastness we call home.
Next time you look at the stars, imagine them riding a wave of radiation, propelled by a speed of light that’s more neighborly than universal. The Big Bang might just have a glow all its own.