The silence in Titus Valerius's personal library was profound, almost ecclesiastical, broken only by the dry rustle of papyrus being unrolled and rolled again. The smell of melted wax from the lamps and the ancient aroma of parchments permeated the air, creating an atmosphere of intellectual weight and expectation.

  Lucius remained standing before the large oak table, hands respectfully clasped behind his back, maintaining a military posture he had quickly absorbed in recent weeks. His eyes were fixed on the noble seated in front of him. Valerius wasn't looking at him; his attention was entirely consumed by the tables, drawings, and lists of materials Lucius had prepared together with Demetrius.

  The patrician ran his thick fingers, adorned with gold and ruby rings, over the lines of black ink. He read, reread, frowned, and returned to the beginning. Disbelief emanated from him like heat from a furnace. The detailed plan there challenged all conventional logic of Roman engineering of the time. Where imperial architects saw years of arduous work, Lucius presented a solution of months.

  Finally, after what seemed like an eternity, Valerius dropped the papyrus onto the table. The sound of the scroll hitting the wood echoed in the room. He leaned back in his chair, interlacing his fingers over his belly, and raised his eyes to face his pupil. The noble's expression was undecipherable, a mask of senatorial seriousness.

  "Four months," said Valerius, his voice deep and slow, testing the sound of the words. "You put here, in writing, under your name and honor, that a project condemned to a two-year delay, a valley crossing that swallowed the reputations of experienced masters, will be completed in four months."

  He paused, letting the gravity of the statement hang in the air.

  "Lucius, ambition is a Roman virtue, but madness is a disease. How, exactly, would this time be possible? The minimum deadline stipulated by the Emperor's engineers was two years for the foundations and arcades. Even with your siphon method, which I admit is brilliant in theory, material logistics and concrete curing would take time. How did you arrive at these material and time values so... exact? And so frighteningly short?"

  The noble leaned forward, lamp light highlighting the worry lines on his forehead.

  "You are very intelligent, boy, of that I have no doubts. Your mind operates in tune with gods I can barely decipher. But this discrepancy... it distresses me. If we promise this to Rome and fail, it won't just be a delayed project. It will be my word and your life at stake. Explain to me. Convince me this is not fantasy."

  Lucius inhaled deeply. He knew this was the moment of truth. He couldn't simply say "trust me." He needed to show the logic behind the magic, but without revealing that the "magic" came from two millennia in the future.

  "Sir Valerius," Lucius began, his voice firm and controlled. "I understand your hesitation. The numbers seem impossible when viewed through the lens of tradition. But I did not calculate this using traditional methods. I calculated everything with a method I developed myself over the years, alone, on nights when insomnia visited me and the raw stone gave me no answers."

  The noble frowned, curiosity overcoming skepticism.

  "A method of your own? What kind of method?"

  Lucius approached the table. He took a piece of virgin papyrus and a reed pen dipped in ink.

  "Allow me to demonstrate, sir. The numerical system we use in Rome... the I, the V, the X, the L, the C, the D, the M... they are majestic for temple inscriptions and counting armies. But for complex engineering, for dividing tiny fractions of materials and calculating time versus volume, they are... rigid. They do not flow."

  Lucius drew a line on the paper.

  "I imagined a way to simplify the language of numbers. A way to make the position of the number say as much as the symbol itself."

  He wrote the Roman numeral for 1800: MDCCC.

  "See, sir. Seven symbols to say one thousand eight hundred. To multiply this by, say, twelve, the mind must decompose each letter, multiply, add, and recompose. It is slow. It is prone to error."

  Next to it, Lucius wrote the symbols he had used with Demetrius: 1800.

  "This is my method. I use different, shorter symbols. But the secret lies not in the shape of the drawing. The secret lies right here."

  Lucius drew an empty circle, a zero, large and perfect in the center of the sheet.

  "I call this Nullum. The Void. The Nothing."

  Valerius looked at the circle, confused.

  "Nothing? You created a symbol for nothing? What use is writing what does not exist? If I have no wine amphorae, I write nothing, I simply have no amphorae."

  "That is where the key lies, noble lord," Lucius explained, with the patience of a teacher. "Nullum serves not just to say there is nothing. It serves to hold the place. It is like an empty basket in a row of baskets. If I place a full basket (the number 1) and beside it an empty basket (the 0), I know I have ten. If I place two empty baskets (00), I have a hundred. The Void gives power to the Full beside it."

  Lucius began drawing imaginary columns on the paper.

  "Imagine the first column is units. The second, tens. The third, hundreds. If I write the symbol '1' in the units column, it is worth one. If I move that same '1' to the hundreds column and fill the others with Nullum, that '1' is now worth a hundred. I do not need a new symbol like 'C'. I use the same symbol, and its position tells me its value."

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  The noble watched, fascinated and stunned. The idea was abstract, almost philosophical, but had a brutal elegance.

  "With this system," Lucius continued, excitement showing in his voice, "I can add, subtract, multiply, and divide with a speed the abacus cannot match. I could calculate exactly how many cubic meters of concrete fit in each pipe section. I could calculate water flow not by visual estimate, but by exact proportion."

  Lucius pointed to the calculations in the original plan.

  "I arrived at four months because I could see, through these numbers, where the waste lay. I discovered that if we make the concrete with the exact mixture I calculated, using ratios of volcanic dust and lime I defined in these numbers, it will reach the necessary hardness in days, not weeks. I discovered we can make the ceramic and stone pipes right here, using the valley's earth, while the low bridge is erected. Everything happens at the same time. It is a symphony, sir, not a single file line."

  He didn't go into the details of differential calculus or advanced physics he had applied mentally. That would be like explaining the color blue to someone born blind; it would be too much information, too dangerous. But the arithmetic explanation, the logic of the "empty place giving value," was something Valerius's cultured mind could grasp.

  Titus Valerius remained silent for a long time. He stared at the circle drawn on the paper, the zero, as if looking at a portal to another world. A world where logic was pure and physical obstacles dissolved before reason.

  Suddenly, the noble began to laugh. It was a low, guttural laugh that grew until it shook his broad shoulders. He shook his head, looking at Lucius with a mix of awe and amusement.

  "The Void that gives power..." Valerius murmured, wiping a tear of laughter from the corner of his eye. "It is hard to understand, I confess. It is contradictory. But it is something that... by the gods, it is something some mad Greek mathematician, some follower of Pythagoras, would possibly do after drinking too much wine and staring at the stars."

  He slapped his hand on the table, decided.

  "You turned nothing into time, Lucius. You used the void to shorten years into months. Again I say: the gods certainly blessed you. Minerva must have whispered this brilliant madness in your ear while you slept."

  Lucius lowered his head, humble.

  "I did nothing extraordinary, sir. It is just a tool, like a hammer or a chisel. If you wish, I can teach you everything. I can show you how numbers dance, how to use Nullum to manage your harvests and your lands' tributes."

  Valerius raised a hand, refusing the offer with a tired smile.

  "No, no. I am too old to learn to read the world anew, Lucius. My mind is already calcified with old customs and old numbers. Let me keep counting with my 'M's and 'C's. But you..."

  The noble stood up and walked to a locked cabinet. He took out a small polished wooden box and returned to the table.

  "If the work is really ready in that time, if your empty baskets and magic numbers deliver water to Arretium in four months... I will no longer make you my pupil."

  Valerius opened the box. Inside rested a heavy signet ring, made of iron and gold, with the imperial eagle crest and the initials of the Senate and People of Rome, granted only to high magistrates and their direct delegates.

  "I will make you my Chief Engineer," Valerius declared, voice solemn. "And I will give you the seal of permission to manage State works under my jurisdiction without supervision. You will have the power to hire, fire, buy, and build in the name of Rome. No one will question your methods, as long as the aqueducts flow and the bridges do not fall."

  Lucius felt the air leave his lungs. That was real power. It was the key to absolute security for his family and his own ascension.

  "Sir Valerius... this is very fast. And it is too much honor for a man like me," Lucius stammered, sincerely stunned by the magnitude of the promise.

  "It is the will of the gods, and it is my will," Valerius cut in, closing the box with a sharp snap. "And my will, in these lands, has the weight of law. Prepare yourself to deserve it."

  The noble sat back down, his expression becoming somber as he shifted the conversation's focus to the immediate future.

  "But before the glory of civil engineering, we have the duty of war. The military campaign in the North is uncertain, Lucius. Scouts' reports indicate the tribes are more organized than usual. Winter is coming to the borders of Germania and Pannonia. The snow there turns paths into death traps and freezes blood in veins."

  Valerius sighed, looking at drawings spread on another table.

  "I fear this campaign may last more than a year. If winter catches us before we break the barbarian resistance's spine, we will have to camp and wait for the thaw. And boredom and cold kill more Romans than enemy swords."

  Lucius's mind raced. More than a year? No. Absolutely not. He couldn't be away from Selena and Lucia for so long. He couldn't risk dying of pneumonia or dysentery in a frozen tent at the end of the world. And he knew, from history and logic, that long campaigns were disastrous.

  I won't let that happen, Lucius thought, a cold determination hardening his heart. I will use every ounce of knowledge I have. I will create modular bridges that assemble in hours. I will design repeating ballistae. I will improve supply logistics so the army marches faster than any barbarian can predict. I will make this campaign last six months at most.

  He knew exactly how to do it. The technology he had in mind, simple adaptations of medieval and modern principles, would be overwhelming against tribes that still fought in a disorganized manner.

  Lucius straightened his posture, assuming the role fate had imposed on him.

  "Sir Valerius," he said, his voice resonating with a patriotism he didn't truly feel, but knew was necessary. "I will do my best to assist you and assist the Empire in this campaign. My mind is at the service of the Legion. Rome will prevail against the barbarians, and will do so with the strength of our engineering as much as with the strength of our swords."

  It sounded convincing, Lucius thought to himself. Sounded like a true Roman speaking now.

  Valerius smiled, encouraged by his protégé's confidence.

  "You are right, Lucius. That is the spirit. I sincerely hope those barbarian tribes finally have the good sense to accept integration into the Empire. It would be better for everyone."

  The noble stood up and walked to the window, looking out at the vastness of his lands.

  "New provinces mean security for the borders. They mean more trade, more resources. And, of course," he added with brutal pragmatism, "more slaves to work in our mines and fields, more money flowing to Rome, and more grandiose projects for us to build."

  Lucius remained silent, maintaining the mask of agreement, but inside, the comment turned his stomach. This was the common thought of the time, the backbone of Roman economy and society: conquest and exploitation. The "civilized world" was built on the backs of the conquered.

  He understood perfectly why the barbarians resisted. Who would willingly accept "integrating" into an empire that saw their people only as fuel for the war and labor machine? Rome came with promises of peace and roads, yes, but if they refused... peace was imposed by the blade of the gladius and roads were paved with the freedom of the vanquished.

  A dark question arose in Lucius's mind as he watched the noble's back.

  If I had landed somewhere else... If fate had thrown me into the forests of Germania, among the Marcomanni or the Quadi, instead of the heart of Rome... could I survive?

  There, his engineering wouldn't find marble and concrete, but wood and earth. There, there would be no rich patrons, but tribal warrior chiefs. Would he now be planning defense against the legions, using his knowledge to massacre the Romans he now called allies? The line between hero and barbarian, Lucius realized bitterly, was just a question of where his feet had touched the ground for the first time.